Dissertations / Theses on the topic 'Beta Distribution'
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Owen, Claire Elayne Bangerter. "Parameter Estimation for the Beta Distribution." Diss., CLICK HERE for online access, 2008. http://contentdm.lib.byu.edu/ETD/image/etd2670.pdf.
Full textUrashkin, Alexander. "Beta dose distribution for randomly packed microspheres." Texas A&M University, 2006. http://hdl.handle.net/1969.1/4854.
Full textJonsson, Fredrik. "Statistical studies of the Beta Gumbel distribution." Thesis, Uppsala universitet, Tillämpad matematik och statistik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-220547.
Full textFeng, Jingyu. "Modeling Distributions of Test Scores with Mixtures of Beta Distributions." Diss., CLICK HERE for online access, 2005. http://contentdm.lib.byu.edu/ETD/image/etd1068.pdf.
Full textPaz, Rosineide Fernando da. "Alternative regression models to beta distribution under bayesian approach." Universidade Federal de São Carlos, 2017. https://repositorio.ufscar.br/handle/ufscar/9146.
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
The Beta distribution is a bounded domain distribution which has dominated the modeling the distribution of random variable that assume value between 0 and 1. Bounded domain distributions arising in various situations such as rates, proportions and index. Motivated by an analysis of electoral votes percentages (where a distribution with support on the positive real numbers was used, although a distribution with limited support could be more suitable) we focus on alternative distributions to Beta distribution with emphasis in regression models. In this work, initially we present the Simplex mixture model as a flexible model to modeling the distribution of bounded random variable then we extend the model to the context of regression models with the inclusion of covariates. The parameters estimation is discussed for both models considering Bayesian inference. We apply these models to simulated data sets in order to investigate the performance of the estimators. The results obtained were satisfactory for all the cases investigated. Finally, we introduce a parameterization of the L-Logistic distribution to be used in the context of regression models and we extend it to a mixture of mixed models.
A distribuição beta é uma distribuição com suporte limitado que tem dominado a modelagem de variáveis aleatórias que assumem valores entre 0 e 1. Distribuições com suporte limitado surgem em várias situações como em taxas, proporções e índices. Motivados por uma análise de porcentagens de votos eleitorais, em que foi assumida uma distribuição com suporte nos números reais positivos quando uma distribuição com suporte limitado seira mais apropriada, focamos em modelos alternativos a distribuição beta com enfase em modelos de regressão. Neste trabalho, apresentamos, inicialmente, um modelo de mistura de distribuições Simplex como um modelo flexível para modelar a distribuição de variáveis aleatórias que assumem valores em um intervalo limitado, em seguida estendemos o modelo para o contexto de modelos de regressão com a inclusão de covariáveis. A estimação dos parâmetros foi discutida para ambos os modelos, considerando o método bayesiano. Aplicamos os dois modelos a dados simulados para investigarmos a performance dos estimadores usados. Os resultados obtidos foram satisfatórios para todos os casos investigados. Finalmente, introduzimos a distribuição L-Logistica no contexto de modelos de regressão e posteriormente estendemos este modelo para o contexto de misturas de modelos de regressão mista.
Yan, Huey. "A Comparison of Estimation Procedures for the Beta Distribution." DigitalCommons@USU, 1991. https://digitalcommons.usu.edu/etd/7126.
Full textRibom, Henrik, and Mathias Sjöberg. "Intraday Analysis & Prediction of Volume Distribution on the Stockholm Stock Exchange : An exploratory study of volume distribution and automated trading." Thesis, KTH, Matematisk statistik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-170148.
Full textSyftet med denna rapport är att skapa en model för prediction av höglikvida aktiers volym fördelingen på stockholmsbörsen. Detta görs på ett utforskande sätt och agerar som konceptvalidering och bevis att grunda vidare forsking på. Genom att titta på all marknadsdata på stockholmsbörsen kommer den kumulativa volym fördelingen av induviduela aktier skapas. För att sedan bli matchad mot en mixture beta fördeling och skalas med en prediktion erhållen från en linjär regrission. Modelen som presenteras i rapporten fungerar bättre som prediktion än det flytande medelet. Det finns dock dagar som av sin natur är omöjliga att förutspå, exempelvis när en stor nyhet blir känd. För att kompensera för detta expanderas modelen genom att använda data från samma dag som ska prediceras och detta förbättrar modelen för den resterande tiden av dagen.
SANTOS, Rosilda Sousa. "Estudo sobre algumas famílias de distribuições de probabilidades generalizadas." Universidade Federal de Campina Grande, 2012. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1358.
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Capes
A proposta desta dissertação está relacionada com o estudo das principais famílias de distribuições de probabilidade generalizadas. Particularmente, estudamos as distribuições Beta Pareto, Beta Exponencial Generalizada, Beta Weibull Modificada, Beta Fréchet e a Kw-G. Para cada uma delas foram obtidas expressões para as funções densidades de probabilidade, funcões de distribuição acumuladas, funções de taxa de falha, funções geratrizes de momentos, bem como foram obtidos os estimadores dos parâmetros pelo método da máxima verossimilhança. Finalmente, para cada distribuição foram feitas aplicações com dados reais.
The purpose of this dissertation is to study the main families of generalized probability distributions. Particularly we study the distributions Beta Pareto, generalized Beta Exponential, Beta Modified Weibull, Beta Fréchet and Kw-G. For each one of these distributions we obtain expressions for the probability density function, cumulative distribution function, hazard function and moment generating function as well as parameter estimates by the method of maximum likelihood. Finally, we make real data applications for each one of the studied distributions.
Isik, Mehmet. "Thermally Stimulated Current Study Of Traps Distribution In Beta-tlins2 Layered Crystals." Master's thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/12609667/index.pdf.
Full textOLIVEIRA, Cícero Carlos Felix de. "Uma priori beta para distribuição binomial negativa." Universidade Federal Rural de Pernambuco, 2011. http://www.tede2.ufrpe.br:8080/tede2/handle/tede2/4537.
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This dissertation is being dealt with a discrete distribution based on Bernoulli trials, which is the Negative Binomial distribution. The main objective is to propose a new non-informative prior distribution for the Negative Binomial model, which is being termed as a possible prior distribution Beta(0; 0), which is an improper distribution. This distribution is also known for the Binomial model as Haldane prior, but for the Negative Binomial model there are no studies to date. The study of the behavior of this prior was based on Bayesian and classical contexts. The idea of using a non-informative prior is the desire to make statistical inference based on the minimum of information prior subjective as possible. Well, makes it possible to compare the results of classical inference that uses only sample information, for example, the maximum likelihood estimator. When is compared the Beta(0; 0) distribution with the Bayes-Laplace prior and Jeffreys prior, based on the Bayesian estimators (posterior mean and posterior mode) and the maximum likelihood estimator, note that the possible Beta(0; 0) prior is less informative than the others prior. It is also verified that is prior possible is a limited distribution in parameter space, thus, an important feature for non-informative prior. The main argument shows that the possible Beta(0; 0) prior is adequate, when it is applied in a predictive posterior distribution for Negative Binomial model, leading the a Beta-Negative Binomial distribution (which corresponds the a hypergeometric multiplied by a probability). All observations citas are strengthened by several studies, such as: basic concepts related to Bayesian Inference and concepts of the negative binomial distribution and Beta-Negative Binomial (a mixture of Beta with the negative binomial) distribution.
Nesta dissertação está sendo abordado uma distribuição discreta baseada em ensaios de Bernoulli, que é a distribuição Binomial Negativa. O objetivo principal é prôpor uma nova distribuição a priori não informativa para o modelo Binomial Negativa, que está sendo denominado como uma possível distribuição a priori Beta(0; 0), que é uma distribuição imprópria. Essa distribuição também é conhecida para o modelo Binomial como a priori de Haldane, mas para o modelo Binomial Negativa não há nenhum estudo até o momento. O estudo do comportamento desta a priori foi baseada nos contextos bayesiano e clássico. A ideia da utilização de uma a priori não informativa é o desejo de fazer inferência estatística baseada no mínimo de informação subjetiva a priori quanto seja possível. Assim, torna possível a comparação com os resultados da inferência clássica que só usa informação amostral, como por exemplo, o estimador de máxima verossimilhança. Quando é comparado a distribuição Beta(0; 0) com a priori de Bayes - Laplace e a priori de Jeffreys, baseado-se nos estimadores bayesiano (média a posteriori e moda a posteriori) e no estimador de máxima verossimilhança, nota-se que a possível a priori Beta(0; 0) é menos informativa do que as outras a priori. É verificado também, que esta possível a priori é uma distribuição limitada no espaço paramétrico, sendo assim, uma característica importante para a priori não informativa. O principal argumento mostra que a possível a priori Beta(0; 0) é adequada, quando ela é aplicada numa distribuição a posteriori preditiva para modelo Binomial Negativa, levando a uma distribuição Beta Binomial Negativa (que corresponde a uma hipergeométrica multiplicada por uma probabilidade). Todas as observações citadas são fortalecidas por alguns estudos feitos, tais como: conceitos básicos associados à Inferência Bayesiana e conceitos das distribuições Binomial Negativa e Beta Binomial Negativa (que uma mistura da Beta com a Binomial Negativa).
Pescim, Rodrigo Rossetto. "The new class of Kummer beta generalized distributions: theory and applications." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/11/11134/tde-30012014-112231/.
Full textNeste trabalho, foi proposta uma nova classe de distribuições generalizadas, baseada na distribuição Kummer beta (NG; KOTZ, 1995), que contém como casos particulares os geradores exponencializado e beta de distribuições. A principal característica da nova família de distribuições é fornecer grande flexibilidade para as extremidades da função densidade e portanto, ela torna-se adequada para a análise de conjuntos de dados com alto grau de assimetria e curtose. Também foram estudadas duas novas distribuições que pertencem à nova família de distribuições, baseadas nas distribuições Birnbaum-Saunders e gama generalizada, que possuem função de taxas de falhas que assumem diferentes formas (unimodal, forma de banheira, crescente e decrescente). Em todas as pesquisas, propriedades matemáticas gerais como momentos ordinários e incompletos, função geradora, desvios médio, confiabilidade, entropias, estatísticas de ordem e seus momentos foram discutidas. A estimação dos parâmetros é abordada pelo método da máxima verossimilhança e pela análise bayesiana e a matriz de informação observada foi derivada. Considerou-se, também, a estatística de razão de verossimilhanças e testes formais de qualidade de ajuste para comparar todas as distribuições propostas com alguns de seus submodelos e modelos não encaixados. Os resultados desenvolvidos foram aplicados a seis conjuntos de dados.
Chu, P. T. David (Ping Tong David). "Representations of exact distribution of random volume from beta type-2 random points." Thesis, McGill University, 1990. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=74646.
Full textDa, Cruz Margarido Tânia Carina. "Studies on the PI3K-dependency of [beta]2 integrin distribution in mouse neutrophils." Thesis, University of Cambridge, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.609528.
Full textChan, Cy P. "Sturm sequences and the eigenvalue distribution of the beta-Hermite random matrix ensemble." Thesis, Massachusetts Institute of Technology, 2007. http://hdl.handle.net/1721.1/40522.
Full textIncludes bibliographical references (p. 33).
This paper proposes that the study of Sturm sequences is invaluable in the numerical computation and theoretical derivation of eigenvalue distributions of random matrix ensembles. We first explore the use of Sturm sequences to efficiently compute histograms of eigenvalues for symmetric tridiagonal matrices and apply these ideas to random matrix ensembles such as the [beta]-Hermite ensemble. Using our techniques, we reduce the time to compute a histogram of the eigenvalues of such a matrix from O(n2 + m) to O(mn) time where n is the dimension of the matrix and m is the number of bins (with arbitrary bin centers and widths) desired in the histogram. Our algorithm is a significant improvement because m is usually much smaller than n. This algorithm allows us to compute histograms that were computationally infeasible before, such as those for n equal to 1 billion. Second, we give a derivation of the eigenvalue distribution for the [beta]-Hermite random matrix ensemble (for general [beta]). The novelty of the approach presented in this paper is in the use of Sturm sequences to derive the distribution. We derive an analytic formula in terms of multivariate integrals for the eigenvalue distribution and the largest eigenvalue distribution for general [beta] by analyzing the Sturm sequence of the tridiagonal matrix model. Finally, we explore the relationship between the Sturm sequence of a random matrix and its shooting eigenvectors. We show using Sturm sequences that, assuming the eigenvector contains no zeros, the number of sign changes in a shooting eigenvector of parameter A is equal to the number of eigenvalues greater than [lambda].
by Cy P. Chan.
S.M.
MELLO, L. H. S. "Evaluating loss minimization in multi-label classification via stochastic simulation using beta distribution." Universidade Federal do Espírito Santo, 2016. http://repositorio.ufes.br/handle/10/4309.
Full textThe objective of this work is to present the effectiveness and efficiency of algorithms for solving the loss minimization problem in Multi-Label Classification (MLC). We first prove that a specific case of loss minimization in MLC isNP-complete for the loss functions Coverage and Search Length, and therefore,no efficient algorithm for solving such problems exists unless P=NP. Furthermore, we show a novel approach for evaluating multi-label algorithms that has the advantage of not being limited to some chosen base learners, such as K-neareast Neighbor and Support Vector Machine, by simulating the distribution of labels according to multiple Beta Distributions.
Dashti, Moghaddam Mohammadamin. "Stochastic Phenomena in Finance, Economics, Cognitive Psychology -- Modeling with Generalized Beta Prime." University of Cincinnati / OhioLINK, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1571061904950758.
Full textLuiz, Amom Mendes 1987. "Diversity, distribution and conservation of anurans from coastal plains of São Paulo state, Southeastern Brazil." [s.n.], 2014. http://repositorio.unicamp.br/jspui/handle/REPOSIP/315722.
Full textTexto em português e inglês
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Biologia
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Resumo: Indivíduos e espécies não são distribuídos aleatoriamente no espaço. Consequentemente, as metacomunidades formadas por tais organismos também apresentam uma organização espacial. Associado a isso, poucas espécies conseguem se distribuir na maioria dos ambientes possíveis. Portanto, as metacomunidades possuem uma variação em sua composição que pode ser espacialmente organizada, ou seja, existem locais que são mais similares em termos de composição de espécies do que outros. Robert Whittaker nomeou esse fenômeno como o componente beta da diversidade, ou simplesmente, diversidade beta. Entender quais processos geram e mantêm os padrões espaciais da diversidade beta é, portanto, uma questão central em ecologia de comunidades, além de auxiliar na proposição de formas apropriadas de manejo e conservação. O objetivo deste estudo foi descrever padrões de diversidade beta de anfíbios anuros das planícies costeiras do Sudeste do Brasil e investigar os possíveis processos que influenciam os padrões de diversidade detectados. A dissertação está dividida em dois capítulos. No primeiro capítulo, descrevo a diversidade beta de anuros da região de estudo e avalio como esses padrões estão protegidos atualmente, por unidades de conservação. No segundo capítulo, busco entender como múltiplos preditores poderiam estar relacionados com a variação na composição de espécies da região de estudo, dado o embasamento teórico e empírico da potencial influência de tais preditores sobre a diversidade de anuros. Os resultados do primeiro capítulo mostraram que existe um padrão claro de organização espacial na diversidade beta, estruturada em três áreas de forma congruente com a história geomorfológica da região. Os resultados evidenciam ainda, que a atual rede de unidades de conservação inclui padrões de diversidade beta semelhante às áreas não protegidas. No entanto, a representatividade dessas unidades em termos de área (~ 4000 km²) é pequena (11.3%). Os resultados do segundo capítulo demonstram a importância de diferentes preditores, incluindo clima, história geomorfológica e processos espaciais em diferentes escalas, para explicar a variação espacial da composição de espécies de anuros. Dentre esses preditores, as unidades geomorfológicas foram predominantemente importantes para explicar a diversidade beta. No entanto, outros processos que foram também importantes para a estruturação das comunidades, como o gradiente climático presente dentro das unidades geomorfológicas, possivelmente gerados pela estrutura geomorfológica da região e pela presença da Serra do Mar. Nossos resultados podem apresentar implicações práticas relacionadas à escolha de potenciais áreas para a conservação das planícies costeiras do Sudeste brasileiro. Tendo em vista a conservação dos padrões de diversidade beta e de seus processos subjacentes, associado à falta representatividade de em termos de tamanho de áreas protegidas na porção central do litoral paulista, sugerimos que tais áreas sejam priorizadas no planejamento e implementação de novas unidades de conservação
Abstract: Individuals and species are not randomly distributed in space. Hence, the communities composed by these species also show a spatial organization. Moreover, only few species can occur in many of the available environments. Therefore, the communities present a variation in their composition which can be spatially structured, that is, there are sites more similar each other in terms of species composition than other ones. Robert Whittaker named this phenomenon as the beta component of diversity or, simply, the beta diversity. The understanding of which processes generate and maintain beta diversity is a central question of the community ecology, also helping in the proposing and applying proper ways to its conservation and management. The aims of this study were to describe the anuran beta diversity patterns of coastal plains from southeastern Brazil and assess potential processes which influence such patterns. This study comprises two chapters. In the first one, I described aspects of the anuran beta diversity in the study region and evaluated how these patterns are protected in conservation units. In the second one, I seek to understand how multiple predictors could be related with the variation in species composition, given the theoretical and empirical framework on the influence of such predictors upon anuran diversity. The results of the first chapter showed a clear spatial pattern in the variation of species composition divided in three main areas that are congruent with the geomorphological history of the region. Still, we showed that the actual network of protected areas include similar beta diversity patterns to unprotected areas. However, the representativeness of these conservation units defined as the covered area (~ 4000 km²) is very small (11.3%). The results of the second chapter demonstrated the relative importance of distinct predictors, including climate, geomorphological history and spatial scales, to explain the spatial variation of the anuran species composition. The beta diversity is mainly associated with spatial structure of geomorphological units. However, other processes are also important in structuring anuran communities, such as climatic gradients possibly related to the geomorphological structure and the presence of Serra do Mar range and also broad scale processes. Our results have practical implications related to the choice of potential areas to coastal plains conservation in southeastern Brazil. In order to conserve the beta diversity patterns and their related processes, associated to unequal representativeness defined by the size area of protected areas, mainly on the central portions of São Paulo state coast, we suggested these areas as priorities in the planning and implementing of new conservation units
Mestrado
Ecologia
Mestre em Ecologia
Adamski, Karien. "Generalised beta type II distributions - emanating from a sequential process." Thesis, University of Pretoria, 2013. http://hdl.handle.net/2263/40233.
Full textThesis (PhD)--University of Pretoria, 2013.
gm2014
Statistics
unrestricted
Serrano, Atuesta Yuliett Marcela. "Patterns of distribution of tree species in the neotropical lowland rainforest biome." Thesis, University of Edinburgh, 2018. http://hdl.handle.net/1842/31237.
Full textDugan, Stephen George. "Hepatic distribution of alpha- and beta-adrenoceptors in trout: Effects of cortisol and temperature." Thesis, University of Ottawa (Canada), 1997. http://hdl.handle.net/10393/9691.
Full textCherradi, Nadia. "La 3(beta)-hydroxystéroide-déshydrogénase isomérase dans la cellule corticosurrénalienne : distribution subcellulaire et régulation." Université Joseph Fourier (Grenoble ; 1971-2015), 1994. http://www.theses.fr/1994GRE10068.
Full textLima, Francimário Alves de. "Distribuições de probabilidade no intervalo unitário." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/45/45133/tde-09042018-154057/.
Full textThe beta distribution is the most frequently used for modeling continuous data observed in the unit interval, such as rates and proportions. Although flexible, assuming varied forms, such as J, inverted J, U and unimodal, it is not suitable in all practical situations. In this dissertation we make a review on continuous distributions in the unit interval encompassing the beta, Kumaraswamy, simplex, unit gamma and rectangular beta distributions. We also address a wide class of distributions obtained by transformations (Smithson and Merkle, 2013). In particular, we focus on two subclasses, one presented and studied by Lemonte and Bazán (2015), which we will call the logit class of distributions, and another that we will call the logit class of skew distributions. All distributions considered are applied to World Bank data sets.
Shannon, Carlie. "A case study in applying generalized linear mixed models to proportion data from poultry feeding experiments." Kansas State University, 2013. http://hdl.handle.net/2097/15519.
Full textDepartment of Statistics
Leigh Murray
This case study was motivated by the need for effective statistical analysis for a series of poultry feeding experiments conducted in 2006 by Kansas State University researchers in the department of Animal Science. Some of these experiments involved an automated auger feed line system commonly used in commercial broiler houses and continuous, proportion response data. Two of the feed line experiments are considered in this case study to determine if a statistical model using a non-normal response offers a better fit for this data than a model utilizing a normal approximation. The two experiments involve fixed as well as multiple random effects. In this case study, the data from these experiments is analyzed using a linear mixed model and Generalized Linear Mixed Models (GLMM’s) with the SAS Glimmix procedure. Comparisons are made between a linear mixed model and GLMM’s using the beta and binomial responses. Since the response data is not count data a quasi-binomial approximation to the binomial is used to convert continuous proportions to the ratio of successes over total number of trials, N, for a variety of possible N values. Results from these analyses are compared on the basis of point estimates, confidence intervals and confidence interval widths, as well as p-values for tests of fixed effects. The investigation concludes that a GLMM may offer a better fit than models using a normal approximation for this data when sample sizes are small or response values are close to zero. This investigation discovers that these same instances can cause GLMM’s utilizing the beta response to behave poorly in the Glimmix procedure because lack of convergence issues prevent the obtainment of valid results. In such a case, a GLMM using a quasi-binomial response distribution with a high value of N can offer a reasonable and well behaved alternative to the beta distribution.
Abdel-Hafez, Ahmad J. "Reputation model based on rating data and application in recommender systems." Thesis, Queensland University of Technology, 2016. https://eprints.qut.edu.au/93808/1/Ahmad_Abdel-Hafez_Thesis.pdf.
Full textStaskevičiūtė, Simona. "Atsitiktinių dydžių sandaugų tikimybiniai skirstiniai." Master's thesis, Lithuanian Academic Libraries Network (LABT), 2013. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2013~D_20130617_182710-60131.
Full textThe mathematical statistics probability distributions are analyzed in this master thesis. The main purpose is to carry out the analysis of independent beta random variables products distribution. This theme is relevant to the reliability analysis of complex systems theory. The theoretics of unlimited divisible probability distributions is described in this master thesis. Following theory is useful to investigate the sums of independent random variables. The theoretics of M-divisible probability distributions is also described in this master thesis. It is useful to investigate the product of independent random variables. Two theorems about the product of finite number of independent beta random variables are formulated in this master thesis. Following theorems tells us, that product is beta random variable again, and its parameters expressions are related with multiplicands parameters. Theorems are proved when we are multiplying two independent beta random variables. Another theorem that is about characteristic function of beta random variable logarithm is formulated and proved in this master thesis.
MAMELI, VALENTINA. "Two generalizations of the skew-normal distribution and two variants of McCarthy's theorem." Doctoral thesis, Università degli Studi di Cagliari, 2012. http://hdl.handle.net/11584/266181.
Full textLuo, Shihua. "Bayesian Estimation of Small Proportions Using Binomial Group Test." FIU Digital Commons, 2012. http://digitalcommons.fiu.edu/etd/744.
Full textLópez, Claudia Fernanda Navarette. "Distribuição de probabilidade e dimensionamento amostral para tamanho de partícula em gramíneas forrageiras." Universidade de São Paulo, 2009. http://www.teses.usp.br/teses/disponiveis/11/11134/tde-10022009-081538/.
Full textThe purpose of this study was to identify the probability distribution of variable particle size in forages grasses and to do a sample dimension. For this was carried out an exploratory analysis of the data obtained from the experiment planned in randomized blocks. Each sample of the overall data was adjusted to Normal, Gama, Beta and Weibull distributions. Tests of adhesion not parametric of Kolmogorov-Smirnov, Lilliefos, Cramer-von Mises and Anderson-Darling were conducted to indicate the adjustment at the distributions. The estimate of the value of the logarithm of function of maximum likelihood is indicative of distribution that better describes the data set, as well as information criteria of Akaike (AIC) and Bayesian information (BIC). Simulations from parameters obtained were made and tests not parametric to assess the t with dierent sizes of samples were made too. It was found that data are not normal, because have asymmetry in the histograms, better described by Beta and Weibull distributions. Tests showed that Gamma, Beta and Weibull distributions, have a ts better for the data; for the highest value in the logarithm of the likelihood function as well as smaller AIC and BIC, best t was forWeibull distribution. Simulations showed that with 2 and 4 sizes (n), with 10 repeat each one, the Gama and Weibull distributions showed good t to data, as the proportion in which n grows, distribution of data tends to normality. Dimensioning by simple random sample (ASA), showed that 6 is a sucient sample size to describe probability distribution for particle size in forage grasses.
Ramires, Thiago Gentil. "A distribuição beta semi-normal generalizada geométrica." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/11/11134/tde-22082013-154605/.
Full textDue to the technological improved advances, different behaviors of the lifetime has been studied and for this reason, it is necessary to create new statistical models, many times more complex, for the better fit and inferences about the population under study. The beta generalized half-normal distribution is useful for modeling lifetime data, and in this sense, we propose, in this work, a wider distribution called the geometric beta generalized half-normal distribution in which the hazard function takes the forms increasing, decreasing, bathtub and unimodal. The density function of the new distribution can be written as a linear combination of the beta generalized half-normal densities, and thereby, some properties of the new distribution can be obtained such as the moments, skewness, kurtosis, moment generating function, mean deviations, quantile function and Lorenz and Bonferroni curves. For the estimation of the parameters, we use the maximum likelihood method considering the presence of censored data. We also propose a new regression model based on the geometric beta generalized half-normal distribution, which can be very useful in the analysis of real data due to their flexibility.
Martinez, Raydonal Ospina. "Modelos de regressão beta inflacionados." Universidade de São Paulo, 2008. http://www.teses.usp.br/teses/disponiveis/45/45133/tde-19102009-145726/.
Full textThe last years have seen new developments in the theory of beta regression models, which are useful for modelling random variables that assume values in the standard unit interval such as proportions, rates and fractions. In many situations, the dependent variable contains zeros and/or ones. In such cases, continuous distributions are not suitable for modeling this kind of data. In this thesis we propose mixed continuous-discrete distributions to model data observed on the intervals [0, 1],[0, 1) and (0, 1]. The proposed distributions are inflated beta distributions in the sense that the probability mass at 0 and/or 1 exceeds what is expected for the beta distribution. Properties of the inflated beta distributions are given. Estimation based on maximum likelihood and conditional moments is discussed and compared. Empirical applications using real data set are provided. Further, we develop inflated beta regression models in which the underlying assumption is that the response follows an inflated beta law. Estimation is performed by maximum likelihood. We provide closed-form expressions for the score function, Fishers information matrix and its inverse. Interval estimation for different population quantities (such as regression parameters, precision parameter, mean response) is discussed and tests of hypotheses on the regression parameters can be performed using asymptotic tests. We also derive the second order biases of the maximum likelihood estimators and use them to define bias-adjusted estimators. The numerical results show that bias reduction can be effective in finite samples. We also develop a set of diagnostic techniques that can be employed to identify departures from the postulated model and influential observations. To that end, we adopt the local influence approach based in the conformal normal curvature. Finally, we consider empirical examples to illustrate the theory developed.
Hammon, Harald. "Distribution and density of alpha- and beta-adrenergic receptor : binding sites in the bovine mammary gland /." [S.l.] : [s.n.], 1993. http://www.stub.unibe.ch/html/haupt/datenbanken/diss/bestell.html.
Full textBerglund, Filip. "Asymptotics of beta-Hermite Ensembles." Thesis, Linköpings universitet, Matematisk statistik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-171096.
Full textI denna kandidatuppsats presenterar vi resultat om några olika egenvärdens-statistikor från beta-Hermite ensemblerna, först i de klassiska fallen då beta = 1, 2, 4, det vill säga den gaussiska ortogonala ensemblen (bestående av reella symmetriska matriser), den gaussiska unitära ensemblen (bestående av komplexa hermitiska matriser) och den gaussiska symplektiska ensemblen (bestående av kvaternioniska själv-duala matriser). Vi tittar även på de mindre undersökta generella beta-Hermite ensemblerna (bestående av reella symmetriska tridiagonala matriser). Specifikt tittar vi på den empiriska fördelningsfunktionen och två olika normeringar av det största egenvärdet. De resultat vi presenterar för dessa statistikor är den empiriska fördelningsfunktionens konvergens mot halvcirkel-fördelningen, det normerade största egenvärdets konvergens mot Tracy-Widom fördelningen, och, med en annan normering, största egenvärdets konvergens mot 1. Vi illustrerar även dessa resultat med hjälp av simuleringar. För den gaussiska unitära ensemblen presenterar vi ett uttryck för dess nivåtäthet. För att underlätta förståelsen av den gaussiska symplektiska ensemblen presenterar vi egenskaper hos egenvärdena av kvaternioniska matriser. Slutligen bevisar vi en sats om symmetrin hos ordningsstatistikan av egenvärdena av beta-Hermite ensemblerna.
Basalamah, Doaa. "Statistical Inference for a New Class of Skew t Distribution and Its Related Properties." Bowling Green State University / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1496762068499547.
Full textPescim, Rodrigo Rossetto. "A distribuição beta generalizada semi-normal." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/11/11134/tde-25022010-103042/.
Full textA new family of distributions so-called beta generalized half-normal distribution, which includes some important distributions as special cases, such as the half-normal and generalized half-normal (Cooray and Ananda, 2008) distributions, is proposed in this work. For this new family of distributions, we studied the probability density function, cumulative distribution function and failure rate function (or hazard function), which did not depend on complicated mathematical functions. We obtained a formal expression for the moments, moment generating function, density function of order statistics distribution, mean deviation, entropy, reliability and Bonferroni and Lorenz curves. We examined maximum likelihood estimation of parameters and provided the information matrix. This work also proposed a regression model using the beta generalized half-normal distribution. The usefulness of the new distribution is illustrated through two data sets by showing that it is quite °exible in analyzing lifetime data instead other distributions in the literature.
Curtis, Rachael E. "Distribution of Cellular Interferon Beta (IFN-β) in Murine Fibroblast Cell Lines Upon Infection of HSV-1." Wright State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=wright1323805692.
Full textArifoglu, Muge. "Effects Of Bioreactor Operation Parameters On Intracellular Reaction Rate Distribution In Beta-lactamase Production By Bacillus Species." Master's thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/3/12605231/index.pdf.
Full textKahve, A. "Biophysical and biochemical effects and distribution of fatty acids in pancreatic beta cells and microvascular endothelial cells." Thesis, University of Exeter, 2019. http://hdl.handle.net/10871/36684.
Full textForslind, Fanni. "The Effect of Immigration on Income Distribution : A Comparative Study of Ordinary Least Squares and Beta Regression." Thesis, Uppsala universitet, Statistiska institutionen, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-433098.
Full textLoots, Mattheus Theodor. "The development of the quaternion normal distribution." Diss., University of Pretoria, 2010. http://hdl.handle.net/2263/25903.
Full textDissertation (MSc)--University of Pretoria, 2011.
Statistics
unrestricted
BRITO, Rejane dos Santos. "Estudo de expansões assintóticas, avaliação numérica de momentos das distribuições beta generalizadas, aplicações em modelos de regressão e análise discriminante." Universidade Federal Rural de Pernambuco, 2009. http://www.tede2.ufrpe.br:8080/tede2/handle/tede2/5251.
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
We make a review about Edgeworth, Lugannani-Rice, Daniels and Cordeiro-Ferrari asymptotic approximations. We use the Cordeiro-Ferrari asymptotic approximation to approximate the gamma distribution G(m;f ) by the exponential distribution with mean a. In a further application, based on the statistical proposed by them, we approximate the t-Student distribution with n degrees of freedom using the normal standard distribution. Moreover, we realize a study about the functionalities of the beta generalized distributions. We obtain moments of the generalized beta distributions using the Lauricella and Kampé de Fériet generalized functions. Beyond this, we propose a new generalized beta distribution called beta power. Finally, we realize some applications in regression models by logistic regression and further more using discriminant analysis.
Inicialmente, realiza-se uma revisão literária sobre as expansões assintóticas de Daniels, Edgeworth, Lugannani-Rice e Cordeiro-Ferrari. Mediante uso da expansão de Cordeiro- Ferrari, torna-se possível realizar um estudo correspondente a aproximação da distribuição gama G(m;f ) em função da distribuição exponencial com média a. E, ainda, numa outra aplicação, faz-se a aproximação da distribuição t-Student com n graus de liberdade em função da distribuição normal padrão. Além disso, apresenta-se um estudo correspondente às funcionalidades das distribuições beta generalizadas e, ainda, a obtenção dos momentos das distribuições beta generalizadas mediante as funções de Lauricella e generalizada de Kampé de Fériet. Propõe-se, ainda, a generalização da distribuição power como sendo uma nova distribuição beta generalizada. Por fim, realizam-se algumas aplicações em modelos de regressão, mediante regressão logística, bem como em modelos de análise discriminante.
SOUZA, Glaucia Tadu de. "Nova generalização para a classe Beta-G de distribuições de probabilidade." Universidade Federal Rural de Pernambuco, 2016. http://www.tede2.ufrpe.br:8080/tede2/handle/tede2/5125.
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
We propose a new generator of continuous distributions with three extra parameters called the Beta ( (1 − G), (1 − )G + ), which generalizes the Beta-G class. Some special cases are presented. The new density function can be expressed as a difference of linear combinations of exponentiated densities based on the same baseline distribution. Various structural properties of the new class, which hold for any baseline model, are derived including explicit expressions for the moments of order n, the moment generating function, the characteristic function, central moments of order n, the general coefficient, the mean deviations, residual life function, reverse life function and order statistics. We discuss estimation of the model parameters by maximum likelihood and provide an application to a real data set.
Propusemos um novo gerador de distribuições contínuas com três parâmetros adicionais chamado Beta ( (1−G), (1− )G+ ), que generaliza a classe Beta-G. Alguns casos especiais são apresentados. A nova função densidade pode ser expressa como uma diferença de combinações lineares de densidades exponencializadas através da mesma distribuição-base. Várias propriedades estruturais da nova classe, as quais valem para qualquer distribuiçãobase são derivadas, incluindo expressões explicitas para os momentos de ordem n, função geradora de momentos, função característica, momentos centrais de ordem n, coeficiente geral, desvios médios, função de vida residual, função de vida reversa e estatísticas de ordem. Discutimos a estimação dos parâmetros do modelo através do método de máxima verossimilhança e fornecemos uma aplicação a um conjunto de dados reais.
Barros, Otávio Akira de. "Estimação dos parâmetros da distribuição beta bivariada: aplicações em severidade de doenças em plantas." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/11/11134/tde-03022016-151710/.
Full textBeta distribution is suitable for analyzing variable data measured in the range (0, 1), as rates and proportions, such as the proportion of disease severity in plants. Therefore, data that are paired observations rates and proportions naturally thinks in a bivariate distribution beta supported (0, 1)2. The objective of this work is on finding the best beta bivariate distribution in the literature for this case and, furthermore, try to find estimators for its parameters in order to verify that this chosen distribution fits the data well. A methodology was created for the estimation of parameters using that distribution we consider the most appropriate. Later simulations were performed to evaluate the quality of these estimators and, finally, we use three databases in order to illustrate this methodology.
Holásková, Ida. "I. Distribution of transforming growth factor beta 1, TGF receptor II and decorin in the sheep uterus shortly after breeding." Morgantown, W. Va. : [West Virginia University Libraries], 2007. https://eidr.wvu.edu/etd/documentdata.eTD?documentid=5373.
Full textTitle from document title page. Document formatted into pages; contains ix, 144 p. : ill. (some col.). Includes abstract. Includes bibliographical references (p. 126-144).
Silva, Ana Roberta dos Santos 1989. "Modelos de regressão beta retangular heteroscedásticos aumentados em zeros e uns." [s.n.], 2015. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306787.
Full textDissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica
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Resumo: Neste trabalho desenvolvemos a distribuição beta retangular aumentada em zero e um, bem como um correspondente modelo de regressão beta retangular aumentado em zero e um para analisar dados limitados-aumentados (representados por variáveis aleatórias mistas com suporte limitado), que apresentam valores discrepantes. Desenvolvemos ferramentas de inferência sob as abordagens bayesiana e frequentista. No que diz respeito à inferência bayesiana, devido à impossibilidade de obtenção analítica das posteriores de interesse, utilizou-se algoritmos MCMC. Com relação à estimação frequentista, utilizamos o algoritmo EM. Desenvolvemos técnicas de análise de resíduos, utilizando o resíduo quantil aleatorizado, tanto sob o enfoque frequentista quanto bayesiano. Desenvolvemos, também, medidas de influência, somente sob o enfoque bayesiano, utilizando a medida de Kullback Leibler. Além disso, adaptamos métodos de checagem preditiva à posteriori existentes na literatura, ao nosso modelo, utilizando medidas de discrepância apropriadas. Para a comparação de modelos, utilizamos os critérios usuais na literatura, como AIC, BIC e DIC. Realizamos diversos estudos de simulação, considerando algumas situações de interesse prático, com o intuito de comparar as estimativas bayesianas com as frequentistas, bem como avaliar o comportamento das ferramentas de diagnóstico desenvolvidas. Um conjunto de dados da área psicométrica foi analisado para ilustrar o potencial do ferramental desenvolvido
Abstract: In this work we developed the zero-one augmented rectangular beta distribution, as well as a correspondent zero-one augmented rectangular beta regression model to analyze limited-augmented data (represented by mixed random variables with limited support), which present outliers. We develop inference tools under the Bayesian and frequentist approaches. Regarding to the Bayesian inference, due the impossibility of obtaining analytically the posterior distributions of interest, we used MCMC algorithms. Concerning the frequentist estimation, we use the EM algorithm. We develop techniques of residual analysis, by using the randomized quantile residuals, under both frequentist and Bayesian approaches. We also developed influence measures, only under the Bayesian approach, by using the measure of Kullback Leibler. In addition, we adapt methods of posterior predictive checking available in the literature, to our model, using appropriate discrepancy measures. For model selection, we use the criteria commonly employed in the literature, such as AIC, BIC and DIC. We performed several simulation studies, considering some situations of practical interest, in order to compare the Bayesian and frequentist estimates, as well as to evaluate the behavior of the developed diagnostic tools. A psychometric real data set was analyzed to illustrate the performance of the developed tools
Mestrado
Estatistica
Mestra em Estatística
Hamza, Marwa. "Caractérisations des familles exponentielles naturelles cubiques : étude des lois Beta généralisées et de certaines lois de Kummer." Thesis, Université de Lorraine, 2015. http://www.theses.fr/2015LORR0036/document.
Full textThis thesis has two different parts. In the first part we are interested in the real cubic natural exponential families such that their variance function is a polynomial of degree less than or equal to 3. We give three characterizations of such families using a Bayesian approach. One of these characterizations is based on a differential equation verified by the cumulant function. In a second part we study in depth the independence property of the type “Matsumoto-Yor” that was developed by Koudou and Vallois. This property involves the Kummer distribution of type 2 and the generalized beta ones. Using the conditioning and the rejection method, we give almost sure realization of these distributions. We characterize the family of Kummer distribution of type 2 with an algebraic equation involving the gamma ones. We proceed similarly with the generalized beta distributions
Carrijo, Tiago Fernandes. "Estudo da termitofauna (Insecta, Isoptera) da região do alto Rio Madeira, Rondônia." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/59/59131/tde-17122013-093224/.
Full textThe Santo Antônio and Jirau hydroelectrics plants (HP) are being built in the Madeira River region, in Porto Velho, RO, Brazil. The HPs will flood large portions of native forest, and thus knowledge of the local biota and its distribution in space is extremely important for the formulation of management plans for creation of protected areas. This region in particular is unique, since the alignment of Amazonas-Madeira-Mamoré Rivers divides the Neotropical region into two areas of endemism for a diversity of taxa. The main objective of this thesis was to monitor termites for three years in areas near the Jirau HP and two years in areas near the Santo Antônio HP. As well as conduct a community level study and analyze the spatial distributions of termites from the areas influenced by Jirau HP (Chapter 1); and investigate the population genetic structure of Heterotermes tenuis (Rhinotermitidae), for the two areas influenced by the HPs, to test whether there is genetic flow between the populations on either bank of the Madeira River (Chapter 2). Twelve modules were marked, seven on the left bank of the river and five on the right bank. Each module was composed of 3 or 4 km transects and perpendicular parcels every 1 km. The sampling was conducted in sub parcels of 5 x 2 m inside each main parcels. During 20 expeditions, 1121 subparcels were investigated and a total of 7875 samples were collected and identified to 169 species. This study incorporates greater sampling effort than already employed by other published studies to date and also registered the highest number of termites species of any similar study. For the community study, 20 subparcels were randomized in the six modules of the Jirau HP, with five subparcels marked in relation to distance from the river margin (P1 - 50 m, P2 - 1 km, P3 - 2 km, and P4 - 3 km). The termite species composition was not related to side of the river bank. The richness estimator Jackknife 2 was the best estimator of the real number of species diversity. The beta diversity analysis with termite species composition clustered for modules with the same soil type, suggesting that some termite species may be distributed according to the soil type. Parcels closest to the river were the most unique, both in terms of termite species composition and abundance patterns, with some species restricted to the P1 and others absent. Of the ten environmental variables measured, termite species richness was correlated with altitude, clay and silt concentration in the soil, and vegetation stratification between 1 and 5 m, among. For the study of the genetic structure of Heterotermes tenuis, 84 sequences of this species were used from the 12 monitoring modules, six from colonies from the Cerrado (Brazilian Savanna), three from GeneBank (from Manaus, French Guiana and Ecuador), and one of H. longiceps as outgroup. In the initial analysis, relatively strong genetic structure within the samples was found: all phylogenetic analysis (maximum parsimony and likelihood, and Bayesian inference), and haplotype networks, consistently clustered two groups of haplotypes, but without any spatial relationships. Thus was assumed that there were two cryptic species (here called Ht. A and Ht. B), and all the analysis to test whether the Madeira River was a biogeographic barrier were conducted separately for each putative species. However, it was not possible to detect any influence of the river to genetic flow between the populations from either side of the river.
Zander, Esther [Verfasser]. "Distribution and genetic composition of carbapenem-resistance determinants in clinical Acinetobacter isolates - focus on carbapenem-hydrolysing beta-lactamases / Esther Zander." Bonn : Universitäts- und Landesbibliothek Bonn, 2015. http://d-nb.info/1077289332/34.
Full textCorreia, Leandro Tavares. "Modelos de regressão estáticos e dinâmicos para taxas ou proporções: uma abordagem bayesiana." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/45/45133/tde-27082015-224138/.
Full textThis paper presents a study focused on observations in a limited interval , more specifically in [0,1] , such as rate and proportion data. In many practical cases this data structure has a considerable amount of extreme values (0 and 1) and usual classical models are not suitable for this type of data set. We propose two class of regression models to deal with this context: beta inflated of zeros and ones (BIZU) models and Tobit doubly censored models adapted in this interval. Fit quality and diagnostic techniques are also discussed. Time series of proportions are also developed through Bayesian dynamic models. Forecasting and behavioral analysis were explored using sequential Monte Carlo techniques, known as particle filters. Particularities and competitiveness between the two classes of models were also discussed as well.
Gibbs, Ebrima. "Evolution of the anti-interferon beta (IFNβ) antibody response in multiple sclerosis patients : IgG subclass distribution, affinity maturation and clinical correlates." Thesis, University of British Columbia, 2008. http://hdl.handle.net/2429/5281.
Full textAlam, Tariq Rizvi. "Modeling and Design of Betavoltaic Batteries." Diss., Virginia Tech, 2017. http://hdl.handle.net/10919/89648.
Full textPHD