Dissertations / Theses on the topic 'Least Square Regression Method'
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Kim, Jingu. "Nonnegative matrix and tensor factorizations, least squares problems, and applications." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/42909.
Full textOravcová, Lenka. "Determinanty cien automobilov." Master's thesis, Vysoká škola ekonomická v Praze, 2015. http://www.nusl.cz/ntk/nusl-205901.
Full textTang, Tian. "Infrared Spectroscopy in Combination with Advanced Statistical Methods for Distinguishing Viral Infected Biological Cells." Digital Archive @ GSU, 2008. http://digitalarchive.gsu.edu/math_theses/59.
Full textUlgen, Burcin Emre. "Estimation In The Simple Linear Regression Model With One-fold Nested Error." Master's thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/3/12606171/index.pdf.
Full textPotůčková, Lenka. "Detekce odlehlých a vlivných pozorování v lineární regresi v rámci metody nejmenších čtverců. Kvalitativní porovnání s postupy založenými na robustní regresi." Master's thesis, Vysoká škola ekonomická v Praze, 2013. http://www.nusl.cz/ntk/nusl-165078.
Full textFerreira, Wellington Vieira. "Regressão linear simples aplicado na física experimental do ensino médio." Universidade Federal de Goiás, 2017. http://repositorio.bc.ufg.br/tede/handle/tede/7842.
Full textRejected by Luciana Ferreira (lucgeral@gmail.com), reason: Não estamos usando a expressão "Profissional" na citação Errado: FERREIRA, Wellington Vieira. Regressão linear simples aplicado na física experimental do ensino médio. 2017. 92 f. Dissertação ( Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Jataí, 2017. Certo: FERREIRA, Wellington Vieira. Regressão linear simples aplicado na física experimental do ensino médio. 2017. 92 f. Dissertação ( Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Jataí, 2017. on 2017-10-03T13:18:55Z (GMT)
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In this work we approached an interdisciplinary proposal between mathematics and physics, from the mathematical modeling of some basic physics experiments, using the Least Square Method and QtiPlot software.
Neste trabalho abordamos uma proposta interdisciplinar entre a Matemática e a Física, a partir da modelagem matemática de alguns experimentos de física básica, utilizando o Método dos Mínimos Quadrados e o software QtiPlot.
Haubeltova, Libuse. "Case study of Airbnb listings in Berlin : Hedonic pricing approach to measuring demand for tourist accommodation characteristics." Thesis, Högskolan Dalarna, Nationalekonomi, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:du-29979.
Full textLuo, Shan. "Advanced Statistical Methodologies in Determining the Observation Time to Discriminate Viruses Using FTIR." Digital Archive @ GSU, 2009. http://digitalarchive.gsu.edu/math_theses/86.
Full textMuratori, Giacomo. "Application of multivariate statistical methods to the modelling of a flue gas treatment stage in a waste-to-energy plant." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/17262/.
Full textRamalho, Guilherme Matiussi. "Uma abordagem estatística para o modelo do preço spot da energia elétrica no submercado sudeste/centro-oeste brasileiro." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/3/3139/tde-26122014-145848/.
Full textThe objective of this work is the development of a statistical method to study the spot prices of the electrical energy of the Southeast/Middle-West (SE-CO) subsystem of the The Brazilian National Connected System, using the Least Squares Estimation and Likelihood Ratio Test as tools to perform and evaluate the models. Verifying the descriptive statistical results of the models, differently from what is observed in the literature, the first observation is that the seasonal component, when analyzed alone, presented results loosely adherent to the spot price PLD. It is then evaluated the influence of the energy supply and the energy demand as input variables, verifying that specifically the stored water and the thermoelectric power production are the variables that the most influence the spot prices in the studied subsystem. Among the models, the one that offered the best result was a mixed model created from the selection of the best input variables of the preliminarily tested models, achieving a coeficient of determination R2 of 0.825, a result that can be considered adherent to the spot price. At the last part of the work It is presented an introduction to the spot price prediction model, allowing the analysis of the price behavior by the changing of the input variables.
V, Zozulia O., and Radzhabova D. V. "Economic and mathematical model for forecasting the volume of traffic using ms excel." Thesis, National Aviation University, 2021. https://er.nau.edu.ua/handle/NAU/50748.
Full textIn this article we consider forecasting the economic process using pairwise linear regression and the least squares method using MS Excel. Entrust the transportation of industrial products to the company. We have data on traffic volume for the last 9 months. Determine the estimated traffic volume for the 10th month.
У цій статті ми розглядаємо прогнозування економічного процесу за допомогою попарно лінійної регресії та методу найменших квадратів за допомогою MS Excel. Розглядається проблема транспортування промислової продукції компанії. Заюача: за даними про обсяг трафіку за останні 9 місяців, треба розрахунковий обсяг трафіку на 10-й місяць.
Moller, Jurgen Johann. "The implementation of noise addition partial least squares." Thesis, Stellenbosch : University of Stellenbosch, 2009. http://hdl.handle.net/10019.1/3362.
Full textWhen determining the chemical composition of a specimen, traditional laboratory techniques are often both expensive and time consuming. It is therefore preferable to employ more cost effective spectroscopic techniques such as near infrared (NIR). Traditionally, the calibration problem has been solved by means of multiple linear regression to specify the model between X and Y. Traditional regression techniques, however, quickly fail when using spectroscopic data, as the number of wavelengths can easily be several hundred, often exceeding the number of chemical samples. This scenario, together with the high level of collinearity between wavelengths, will necessarily lead to singularity problems when calculating the regression coefficients. Ways of dealing with the collinearity problem include principal component regression (PCR), ridge regression (RR) and PLS regression. Both PCR and RR require a significant amount of computation when the number of variables is large. PLS overcomes the collinearity problem in a similar way as PCR, by modelling both the chemical and spectral data as functions of common latent variables. The quality of the employed reference method greatly impacts the coefficients of the regression model and therefore, the quality of its predictions. With both X and Y subject to random error, the quality the predictions of Y will be reduced with an increase in the level of noise. Previously conducted research focussed mainly on the effects of noise in X. This paper focuses on a method proposed by Dardenne and Fernández Pierna, called Noise Addition Partial Least Squares (NAPLS) that attempts to deal with the problem of poor reference values. Some aspects of the theory behind PCR, PLS and model selection is discussed. This is then followed by a discussion of the NAPLS algorithm. Both PLS and NAPLS are implemented on various datasets that arise in practice, in order to determine cases where NAPLS will be beneficial over conventional PLS. For each dataset, specific attention is given to the analysis of outliers, influential values and the linearity between X and Y, using graphical techniques. Lastly, the performance of the NAPLS algorithm is evaluated for various
Björkström, Anders. "Regression methods in multidimensional prediction and estimation." Doctoral thesis, Stockholm University, Department of Mathematics, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-7025.
Full textIn regression with near collinear explanatory variables, the least squares predictor has large variance. Ordinary least squares regression (OLSR) often leads to unrealistic regression coefficients. Several regularized regression methods have been proposed as alternatives. Well-known are principal components regression (PCR), ridge regression (RR) and continuum regression (CR). The latter two involve a continuous metaparameter, offering additional flexibility.
For a univariate response variable, CR incorporates OLSR, PLSR, and PCR as special cases, for special values of the metaparameter. CR is also closely related to RR. However, CR can in fact yield regressors that vary discontinuously with the metaparameter. Thus, the relation between CR and RR is not always one-to-one. We develop a new class of regression methods, LSRR, essentially the same as CR, but without discontinuities, and prove that any optimization principle will yield a regressor proportional to a RR, provided only that the principle implies maximizing some function of the regressor's sample correlation coefficient and its sample variance. For a multivariate response vector we demonstrate that a number of well-established regression methods are related, in that they are special cases of basically one general procedure. We try a more general method based on this procedure, with two meta-parameters. In a simulation study we compare this method to ridge regression, multivariate PLSR and repeated univariate PLSR. For most types of data studied, all methods do approximately equally well. There are cases where RR and LSRR yield larger errors than the other methods, and we conclude that one-factor methods are not adequate for situations where more than one latent variable are needed to describe the data. Among those based on latent variables, none of the methods tried is superior to the others in any obvious way.
Tano, Kent. "Multivariate modelling and monitoring of mineral processes using partial least square regression." Licentiate thesis, Luleå tekniska universitet, Institutionen för samhällsbyggnad och naturresurser, 1996. http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-16872.
Full textUrbášková, Martina. "Hodnocení vlivu větrných elektráren na krajinný ráz." Master's thesis, Vysoká škola ekonomická v Praze, 2011. http://www.nusl.cz/ntk/nusl-114006.
Full textSandnes, Pål Grøthe. "Meshfree Least Square-based Finite Difference method in CFD applications." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for marin teknikk, 2011. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-15454.
Full textLi, Ying. "A Comparison Study of Principle Component Regression, Partial Least Square Regression and Ridge Regression with Application to FTIR Data." Thesis, Uppsala University, Department of Statistics, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-127983.
Full textLeast squares estimator may fail when the number of explanatory vari-able is relatively large in comparison to the sample or if the variablesare almost collinear. In such a situation, principle component regres-sion, partial least squares regression and ridge regression are oftenproposed methods and widely used in many practical data analysis,especially in chemometrics. They provide biased coecient estima-tors with the relatively smaller variation than the variance of the leastsquares estimator. In this paper, a brief literature review of PCR,PLS and RR is made from a theoretical perspective. Moreover, a dataset is used, in order to examine their performance on prediction. Theconclusion is that for prediction PCR, PLS and RR provide similarresults. It requires substantial verication for any claims as to thesuperiority of any of the three biased regression methods.
Anderson, Cynthia 1962. "A Comparison of Five Robust Regression Methods with Ordinary Least Squares: Relative Efficiency, Bias and Test of the Null Hypothesis." Thesis, University of North Texas, 2001. https://digital.library.unt.edu/ark:/67531/metadc5808/.
Full textHaddad, Khaled. "Design flood estimation for ungauged catchments in Victoria ordinary & generalised least squares methods compared /." View thesis, 2008. http://handle.uws.edu.au:8081/1959.7/30369.
Full textA thesis submitted towards the degree of Master of Engineering (Honours) in the University of Western Sydney, College of Health and Science, School of Engineering. Includes bibliographical references.
Peiris, Thelge Buddika. "Constrained Statistical Inference in Regression." OpenSIUC, 2014. https://opensiuc.lib.siu.edu/dissertations/934.
Full textBeedell, David C. (David Charles). "The effect of sampling error on the interpretation of a least squares regression relating phosporus and chlorophyll." Thesis, McGill University, 1995. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=22720.
Full textLi, Yang. "An Empirical Analysis of Family Cost of Children : A Comparison of Ordinary Least Square Regression and Quantile Regression." Thesis, Uppsala University, Department of Statistics, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-126660.
Full textQuantile regression have its advantage properties comparing to the OLS model regression which are full measurement of the effects of a covariate on response, robustness and Equivariance property. In this paper, I use a survey data in Belgium and apply a linear model to see the advantage properites of quantile regression. And I use a quantile regression model with the raw data to analyze the different cost of family on different numbers of children and apply a Wald test. The result shows that for most of the family types and living standard, from the lower quantile to the upper quantile the family cost on children increases along with the increasing number of children and the cost of each child is the same. And we found a common behavior that the cost of the second child is significantly more than the cost of the first child for a nonworking type of family and all living standard families, at the upper quantile (from 0.75 quantile to 0.9 quantile) of the conditional distribution.
Filippov, V., and A. Rodionov. "On the justification of the least square method for nonpotential, nonlinear operators." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/97171.
Full textBahenský, Miloš. "Závislost hodnoty stavebního závodu na velikosti vlastního kapitálu." Doctoral thesis, Vysoké učení technické v Brně. Ústav soudního inženýrství, 2019. http://www.nusl.cz/ntk/nusl-402119.
Full textChen, Xinyu. "Inference in Constrained Linear Regression." Digital WPI, 2017. https://digitalcommons.wpi.edu/etd-theses/405.
Full textClack, Jhules. "Theoretical Analysis for Moving Least Square Method with Second Order Pseudo-Derivatives and Stabilization." University of Cincinnati / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1418910272.
Full textErdas, Ozlem. "Modelling And Predicting Binding Affinity Of Pcp-like Compounds Using Machine Learning Methods." Master's thesis, METU, 2007. http://etd.lib.metu.edu.tr/upload/3/12608792/index.pdf.
Full textBai, Xiuqin. "Robust mixtures of regression models." Diss., Kansas State University, 2014. http://hdl.handle.net/2097/18683.
Full textDepartment of Statistics
Kun Chen and Weixin Yao
This proposal contains two projects that are related to robust mixture models. In the robust project, we propose a new robust mixture of regression models (Bai et al., 2012). The existing methods for tting mixture regression models assume a normal distribution for error and then estimate the regression param- eters by the maximum likelihood estimate (MLE). In this project, we demonstrate that the MLE, like the least squares estimate, is sensitive to outliers and heavy-tailed error distributions. We propose a robust estimation procedure and an EM-type algorithm to estimate the mixture regression models. Using a Monte Carlo simulation study, we demonstrate that the proposed new estimation method is robust and works much better than the MLE when there are outliers or the error distribution has heavy tails. In addition, the proposed robust method works comparably to the MLE when there are no outliers and the error is normal. In the second project, we propose a new robust mixture of linear mixed-effects models. The traditional mixture model with multiple linear mixed effects, assuming Gaussian distribution for random and error parts, is sensitive to outliers. We will propose a mixture of multiple linear mixed t-distributions to robustify the estimation procedure. An EM algorithm is provided to and the MLE under the assumption of t- distributions for error terms and random mixed effects. Furthermore, we propose to adaptively choose the degrees of freedom for the t-distribution using profile likelihood. In the simulation study, we demonstrate that our proposed model works comparably to the traditional estimation method when there are no outliers and the errors and random mixed effects are normally distributed, but works much better if there are outliers or the distributions of the errors and random mixed effects have heavy tails.
Sequeira, Bernardo Pinto Machado Portugal. "American put option pricing : a comparison between neural networks and least-square Monte Carlo method." Master's thesis, Instituto Superior de Economia e Gestão, 2019. http://hdl.handle.net/10400.5/19631.
Full textEsta tese compara dois métodos de pricing de opções de venda Americanas. Os métodos estudados são redes neurais (NN), um método de Machine Learning, e Least-Square Monte Carlo Method (LSM). Em termos de redes neurais foram desenvolvidos dois modelos diferentes, um modelo mais simples, Model 1, e um modelo mais complexo, Model 2. O estudo depende dos preços das opões de 4 gigantes empresas norte-americanas, de Dezembro de 2018 a Março de 2019. Todos os métodos mostram uma precisão elevada, no entanto, uma vez calibradas, as redes neuronais mostram um tempo de execução muito inferior ao LSM. Ambos os modelos de redes neurais têm uma raiz quadrada do erro quadrático médio (RMSE) menor que o LSM para opções de diferentes maturidades e preço de exercício. O Modelo 2 supera substancialmente os outros modelos, tendo um RMSE ca. 40% inferior ao do LSM. O menor RMSE é consistente em todas as empresas, níveis de preço de exercício e maturidade.
This thesis compares two methods to evaluate the price of American put options. The methods are the Least-Square Monte Carlo Method (LSM) and Neural Networks, a machine learning method. Two different models for Neural Networks were developed, a simple one, Model 1, and a more complex model, Model 2. It relies on market option prices on 4 large US companies, from December 2018 to March 2019. All methods show a good accuracy, however, once calibrated, Neural Networks show a much better execution time, than the LSM. Both Neural Network end up with a lower Root Mean Square Error (RMSE) than the LSM for options of different levels of maturity and strike. Model 2 substantially outperforms the other models, having a RMSE ca. 40% lower than that of LSM. The lower RMSE is consistent across all companies, strike levels and maturities.
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Tao, Jinxin. "Comparison Between Confidence Intervals of Multiple Linear Regression Model with or without Constraints." Digital WPI, 2017. https://digitalcommons.wpi.edu/etd-theses/404.
Full textWang, Hailun. "Some Conclusions of Statistical Analysis of the Spectropscopic Evaluation of Cervical Cancer." Digital Archive @ GSU, 2008. http://digitalarchive.gsu.edu/math_theses/58.
Full textZhang, Zongjun. "Adaptive Robust Regression Approaches in data analysis and their Applications." University of Cincinnati / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1445343114.
Full textСкворчевський, Олександр Євгенович, Тетяна Кравцова, and Анастасія Свічкарь. "Економетрична оцінка залежності купівельної спроможності населення України від його доходів." Thesis, Львівська політехніка, 2017. http://repository.kpi.kharkov.ua/handle/KhPI-Press/32787.
Full textYoldas, Mine. "Predicting The Effect Of Hydrophobicity Surface On Binding Affinity Of Pcp-like Compounds Using Machine Learning Methods." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613215/index.pdf.
Full textGaspard, Guetchine. "FLOOD LOSS ESTIMATE MODEL: RECASTING FLOOD DISASTER ASSESSMENT AND MITIGATION FOR HAITI, THE CASE OF GONAIVES." OpenSIUC, 2013. https://opensiuc.lib.siu.edu/theses/1236.
Full textWang, Shuo. "An Improved Meta-analysis for Analyzing Cylindrical-type Time Series Data with Applications to Forecasting Problem in Environmental Study." Digital WPI, 2015. https://digitalcommons.wpi.edu/etd-theses/386.
Full textSavas, Berkant. "Algorithms in data mining using matrix and tensor methods." Doctoral thesis, Linköpings universitet, Beräkningsvetenskap, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-11597.
Full textSousa, Neto Theófilo Machado de. "Ajuste de curvas usando métodos numéricos." Universidade Federal de Goiás, 2018. http://repositorio.bc.ufg.br/tede/handle/tede/8755.
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
Given the need to discuss mathematical methods capable of adjusting curves that represent experimental data. This work presents seven methods of curves adjustment, three of these, methods that use least squares regression techniques and the other four, using interpolation techniques. Initially, it brings some definitions that present to the reader all the mathematical foundation that rules the equations. In parallel, it seeks to discuss, through examples, the area of attribution of the described methods, realizing whenever possible a comparation between the several techniques presented and their errors in the estimates. In order to demonstrate that the techniques discussed here are feasible for use in basic education, it exposes an experience of applying one of these methods in solving a basic problem of the discipline of Physics. After presenting the step-by-step method of obtaining soil resistivity, a variable that is of the utmost importance for the elaboration of projects for grounding meshes that supply energy substations, We finish this work by solving the problem with the aid of adjustment techniques curves studied, proposing the inclusion of the methods addressed in one of the steps of the procedure to obtain soil resistivity.
Diante da necessidade de se discutir sobre métodos matemáticos capazes de ajustar curvas que representem dados experimentais. Este trabalho apresenta como escopo sete métodos de ajustes de curvas, sendo que três destes, utilizam as técnicas de regressão por mínimos quadrados e os outros quatro, usando técnicas de interpolação. Inicialmente, traremos algumas definições que apresentam ao leitor todo o embasamento matemático que rege os equacionamentos. Em paralelo, procuramos discutir, através de exemplos, a área de atribuição dos métodos descritos, realizando sempre que possível um comparativo entre as variadas técnicas apresentadas e seus erros nas estimativas.Com o intuito de demonstrar que as técnicas aqui discutidas são viáveis para utilização na educação básica, apresentaremos uma experiência de aplicação de um desses métodos na resolução de um problema básico da disciplina de Física. Após relatar os procedimentos do método de obtenção da resistividade do solo, que é uma variável de suma importância para a elaboração de projetos de malhas de aterramento que atendem subestações de energia. Finaliza-se este trabalho resolvendo o problema com auxílio das técnicas de ajustes de curva estudados, propondo a inclusão dos métodos abordados em uma das etapas do procedimento de obtenção da resistividade do solo.
Critchfield, Brian L. "Statistical Methods For Kinetic Modeling Of Fischer Tropsch Synthesis On A Supported Iron Catalyst." Diss., CLICK HERE for online access, 2006. http://contentdm.lib.byu.edu/ETD/image/etd1670.pdf.
Full textKrba, Martin. "Identifikace počítače na základě časových značek paketů." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2012. http://www.nusl.cz/ntk/nusl-236536.
Full textWeng, Lichen. "A Hardware and Software Integrated Approach for Adaptive Thread Management in Multicore Multithreaded Microprocessors." FIU Digital Commons, 2012. http://digitalcommons.fiu.edu/etd/653.
Full textCastro-Lucas, de Souza Cristina. "Les relations entre l'innovation et la performance internationale pour les activités de service aux entreprises." Thesis, Aix-Marseille 3, 2011. http://www.theses.fr/2011AIX32037.
Full textThis research deals with service innovation and internationalization: how firms perform on international markets and get an edge thanks to innovation on service concept or service process. We tested the relationship between innovation and international performance, assessed the impact of innovation compared to other international advantages. Symmetrically, we also checked how far the internationalization process can be a powerful driver of innovation for service firms. After the development of a theoretical model, data were collected from a telephone survey. The target respondents of the survey were senior executives of internationalized service companies in France. Out of the 807 companies which were contacted, 51 usable responses were received. The data collected were analyzed by Structural Equation Modeling (SEM), using the Partial Least Square method. The tested model shows that service innovation has a positive influence on international development and that the international competence, obtained in foreign markets, drives the dynamics of innovation in services company. The model proposed highlights the capabilities for R & D (organizational), relational, ICT, international competence, service and international experience as factors that impact the final results of internationalized companies, or more specifically, the international performance
Christoforo, André Luis. "Influência das irregularidades da forma em peças de madeira na determinação do módulo de elasticidade longitudinal." Universidade de São Paulo, 2007. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-10042008-092846/.
Full textCurrently, the normative documents that deal with the determination of the properties of rigidity and resistance for round structural timber elements round timber do not take in consideration in both calculations and mathematical models the influence of the existing of irregularities in the geometry of these elements. An objective of this work is to determine the optimum value of the modulus of elasticity for round structural timber elements by an optimization technique associated to the inverse analysis method, to the finite element method and the least squares method.
Levitskaya, T. "The features of construction the empirical description of the drop contour in automation calculations of the surface properties of the melts." Thesis, Sumy State University, 2017. http://essuir.sumdu.edu.ua/handle/123456789/55770.
Full textSubedi, Santosh. "Determination of fertility rating (FR) in the 3-PG model for loblolly pine (Pinus taeda L.) plantations in the southeastern United States." Diss., Virginia Tech, 2015. http://hdl.handle.net/10919/52588.
Full textPh. D.
Sun, Ruting (Michelle). "Characterization of the acoustic properties of cementitious materials." Thesis, Loughborough University, 2017. https://dspace.lboro.ac.uk/2134/27308.
Full textWang, Kuo-Lung, and 王國龍. "Least Square Method for Concave Regression." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/14849511950359715572.
Full text淡江大學
數學學系碩士班
98
Search for a simple, smooth and efficient estimator of a smooth concave regression function is of considerable interest. In this thesis, we describe a least square method for concave regression in which the regression function is modeled by the Bernstein polynomial. We employ the Akaike’s information criterion to determine the degree of Bernstein polynomial, propose a penalty function method based algorithm to compute estimate and provide a pointwise confidence interval estimator and a prediction interval band for regression function. The success of this method is demonstrated in simulation studies and in an analysis of real data.
Lo, Lu-Lee, and 駱如儀. "ON ROBUST FUZZY LEAST-SQUARES METHOD FOR FUZZY LINEAR REGRESSION MODEL." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/05307628210573279983.
Full text中原大學
應用數學研究所
92
Since Tanaka et al. in 1982 proposed a study in linear regression with a fuzzy model, fuzzy regression analysis has been widely studied and applied in various areas. In general, the analysis of fuzzy regression models can be roughly divided into two categories. One is based on Tanaka's linear-programming approach. Another category is based on the fuzzy least-squares approach. In this paper, a robust fuzzy least- squares algorithm is considered in the estimation of fuzzy linear regression (FLR) models. Then numerical comparisons between this fuzzy least-square and Tanaka's methods for FLR models are implemented. According to these comparisons, it is suggested that the proposed fuzzy least-square is preferred for use in the parameter estimation of FLR models.
Abarin, Taraneh. "Second-order least squares estimation in regression models with application to measurement error problems." 2009. http://hdl.handle.net/1993/3126.
Full textFebruary 2009
Wasser, Thomas E. "Comparison and evaluation of the effect of outliers on ordinary least squares and Theil nonparametric regression with the evaluation of standard error estimates for the Theil nonparametric regression method /." Diss., 1998. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:9914439.
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