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Dissertations / Theses on the topic 'Probability theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Halliwell, Joe. "Linguistic probability theory." Thesis, University of Edinburgh, 2008. http://hdl.handle.net/1842/29135.

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A theory of linguistic probabilities as is patterned after the standard Kolmogorov axioms of probability theory. Since fuzzy numbers lack algebraic inverses, the resulting theory is weaker than, but generalizes its classical counterpart. Nevertheless, it is demonstrated that analogues for classical probabilistic concepts such as conditional probability and random variables can be constructed. In the classical theory, representation theorems mean that most of the time the distinction between mass/density distributions and probability measures can be ignored. Similar results are proven for lingu

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2

Youmbi, Norbert. "Probability theory on semihypergroups." [Tampa, Fla.] : University of South Florida, 2005. http://purl.fcla.edu/fcla/etd/SFE0001201.

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3

Sorokin, Yegor. "Probability theory, fourier transform and central limit theorem." Manhattan, Kan. : Kansas State University, 2009. http://hdl.handle.net/2097/1604.

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4

Johns, Richard. "A theory of physical probability." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0027/NQ38907.pdf.

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5

Perlin, Alex 1974. "Probability theory on Galton-Watson trees." Thesis, Massachusetts Institute of Technology, 2001. http://hdl.handle.net/1721.1/8673.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.<br>Includes bibliographical references (p. 91).<br>By a Galton-Watson tree T we mean an infinite rooted tree that starts with one node and where each node has a random number of children independently of the rest of the tree. In the first chapter of this thesis, we prove a conjecture made in [7] for Galton-Watson trees where vertices have bounded number of children not equal to 1. The conjecture states that the electric conductance of such a tree has a continuous distribution. In the second chapter, we study ra

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6

Wang, Jiun-Chau. "Limit theorems in noncommutative probability theory." [Bloomington, Ind.] : Indiana University, 2008. 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:3331258.

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Thesis (Ph.D.)--Indiana University, Dept. of Mathematics, 2008.<br>Title from PDF t.p. (viewed on Jul 27, 2009). Source: Dissertation Abstracts International, Volume: 69-11, Section: B, page: 6852. Adviser: Hari Bercovici.

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7

Burns, Jonathan. "Recursive Methods in Number Theory, Combinatorial Graph Theory, and Probability." Scholar Commons, 2014. https://scholarcommons.usf.edu/etd/5193.

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Recursion is a fundamental tool of mathematics used to define, construct, and analyze mathematical objects. This work employs induction, sieving, inversion, and other recursive methods to solve a variety of problems in the areas of algebraic number theory, topological and combinatorial graph theory, and analytic probability and statistics. A common theme of recursively defined functions, weighted sums, and cross-referencing sequences arises in all three contexts, and supplemented by sieving methods, generating functions, asymptotics, and heuristic algorithms. In the area of number theory, this

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8

Christopher, Fisher Ryan. "Are people naive probability theorists? An examination of the probability theory + variation model." Miami University / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=miami1406657670.

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9

Tarrago, Pierre. "Non-commutative generalization of some probabilistic results from representation theory." Thesis, Paris Est, 2015. http://www.theses.fr/2015PESC1123/document.

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Le sujet de cette thèse est la généralisation non-commutative de résultats probabilistes venant de la théorie des représentations. Les résultats obtenus se divisent en trois parties distinctes. Dans la première partie de la thèse, le concept de groupe quantique easy est étendu au cas unitaire. Tout d'abord, nous donnons une classification de l'ensemble des groupes quantiques easy unitaires dans le cas libre et classique. Nous étendons ensuite les résultats probabilistes de au cas unitaire. La deuxième partie de la thèse est consacrée à une étude du produit en couronne libre. Dans un premier te

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10

McGillivray, Ivor Edward. "Some applications of Dirichlet forms in probability theory." Thesis, University of Cambridge, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.241102.

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11

Lundquist, Anders. "Contributions to the theory of unequal probability sampling." Doctoral thesis, Umeå : Department of Mathematics and Mathematical Statistics, Umeå University, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-22459.

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12

Narayanan, Bhargav. "Problems in Ramsey theory, probabilistic combinatorics and extremal graph theory." Thesis, University of Cambridge, 2015. https://www.repository.cam.ac.uk/handle/1810/252850.

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13

Bright, Leslie William. "Matrix-analytic methods in applied probability /." Title page, table of contents and abstract only, 1996. http://web4.library.adelaide.edu.au/theses/09PH/09phb855.pdf.

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14

Palafox, Damian. "THINKING POKER THROUGH GAME THEORY." CSUSB ScholarWorks, 2016. https://scholarworks.lib.csusb.edu/etd/314.

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Poker is a complex game to analyze. In this project we will use the mathematics of game theory to solve some simplified variations of the game. Probability is the building block behind game theory. We must understand a few concepts from probability such as distributions, expected value, variance, and enumeration methods to aid us in studying game theory. We will solve and analyze games through game theory by using different decision methods, decision trees, and the process of domination and simplification. Poker models, with and without cards, will be provided to illustrate optimal strategies.

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15

Stacey, Alan Martin. "Bounds on the critical probability in oriented percolation models." Thesis, University of Cambridge, 1994. https://www.repository.cam.ac.uk/handle/1810/251746.

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16

Jafri, Syeda Rabab. "Operator inequalities and characterization with applications in probability theory." Thesis, University of Nottingham, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.539218.

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17

Levray, Amélie. "Interval-based possibility theory : conditioning and probability/possibility transformations." Thesis, Artois, 2017. http://www.theses.fr/2017ARTO0408/document.

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Cette thèse contribue au développement de formalismes efficaces pour représenter l’information incertaine. Les formalismes existants tels que la théorie des probabilités ou la théorie des possibilités sont parmi les cadres les plus connus et utilisés pour représenter ce type d’information. Différentes extensions (e.g. théorie des probabilités imprécises, théorie des possibilités à intervalles) ont été proposées pour traiter des informations incomplètes ou des connaissances mal-connues, ainsi que pour raisonner avec les connaissances d’un groupe d’experts. Les contributions de cette thèse sont

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18

Port, Dan. "Polynomial maps with applications to combinatorics and probability theory." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/28041.

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19

Elamir, Elsayed Ali Habib. "Probability distribution theory, generalisations and applications of L-moments." Thesis, Durham University, 2001. http://etheses.dur.ac.uk/3987/.

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In this thesis, we have studied L-moments and trimmed L-moments (TL-moments) which are both linear functions of order statistics. We have derived expressions for exact variances and covariances of sample L-moments and of sample TL-moments for any sample size n in terms of first and second-order moments of order statistics from small conceptual sample sizes, which do not depend on the actual sample size n. Moreover, we have established a theorem which characterises the normal distribution in terms of these second-order moments and the characterisation suggests a new test of normality. We have a

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20

Bowman, Christopher. "Applications of Bayesian probability theory in fusion data analysis." Thesis, University of York, 2016. http://etheses.whiterose.ac.uk/16978/.

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Bayesian probability theory is a powerful tool for solving complex problems in experimental data analysis. In this thesis we explore the use of Bayesian methods in magnetic confinement fusion with an emphasis toward developing analysis tools and techniques. The original research content is presented in three chapters. In the first we develop a new approach to efficiently characterising multi-dimensional posterior distributions. This is achieved through an algorithm which, for any number of posterior dimensions, can decide which areas of the probability space contain significant information and

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21

Calhoun, Grayson Ford. "Limit theory for overfit models." Diss., [La Jolla] : University of California, San Diego, 2009. http://wwwlib.umi.com/cr/ucsd/fullcit?p3359804.

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Thesis (Ph. D.)--University of California, San Diego, 2009.<br>Title from first page of PDF file (viewed July 23, 2009). Available via ProQuest Digital Dissertations. Vita. Includes bibliographical references (p. 104-109).

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22

Giamouridis, Daniel. "Implied probability distributions : estimation, testing and applications." Thesis, City University London, 2001. http://openaccess.city.ac.uk/8388/.

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A relatively large number of authors have proposed alternative techniques for the estimation of implied risk-neutral densities. As a general rule, an assumption for a theoretical equilibrium option pricing model is made and with the use of cross-sections of observed options prices point estimates of the risk-neutral probability densities are obtained. The present study is primarily concerned with the estimation of implied riskneutral densities by means of a semi-parametric Edgeworth Series Expansion probability model as an alternative to the widely criticized log-normal parameterization of the

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23

Guglielmetti, Fabrizia. "Background-Source separation in astronomical images with Bayesian Probability Theory." Diss., lmu, 2010. http://nbn-resolving.de/urn:nbn:de:bvb:19-127320.

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24

Månsson, Anders. "Quantum State Analysis : Probability theory as logic in Quantum mechanics." Doctoral thesis, KTH, Mikroelektronik och tillämpad fysik, MAP, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4417.

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Quantum mechanics is basically a mathematical recipe on how to construct physical models. Historically its origin and main domain of application has been in the microscopic regime, although it strictly seen constitutes a general mathematical framework not limited to this regime. Since it is a statistical theory, the meaning and role of probabilities in it need to be defined and understood in order to gain an understanding of the predictions and validity of quantum mechanics. The interpretational problems of quantum mechanics are also connected with the interpretation of the concept of probabil

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25

Månsson, Anders. "Quantum state analysis : probability theory as logic in Quantum mechanics /." Stockholm : Department of Microelectronics and Applied Physics, Royal Institute of Technology, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4417.

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26

Kart, Özlem. "A Historical Survey of the Development of Classical Probability Theory." Thesis, Uppsala universitet, Analys och sannolikhetsteori, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-359774.

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27

Spencer, Steven Robert. "Renewal theory for uniform random variables." CSUSB ScholarWorks, 2002. https://scholarworks.lib.csusb.edu/etd-project/2248.

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This project will focus on finding formulas for E[N(t)] using one of the classical problems in the discipline first, and then extending the scope of the problem to include overall times greater than the time t in the original problem. The expected values in these cases will be found using the uniform and exponential distributions of random variables.

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28

Jónsson, Ragner H. "Adaptive subband coding of video using probability distribution models." Diss., Georgia Institute of Technology, 1994. http://hdl.handle.net/1853/14453.

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29

Ha, Cong Loc. "Time-dependent reliability analysis for deteriorating structures using imprecise probability theory." Thesis, The University of Sydney, 2017. http://hdl.handle.net/2123/17731.

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Reliability analysis, which takes into account uncertainties, is considered to be the best tool for modern structural evaluation. In this assessment, the deterioration model is one of the most important factors, but it is complicated for modelling due to the inherent uncertainties in the deterioration process. Theoretically, the uncertainties of the deterioration process can be modelled using a probabilistic approach. However, there are practical difficulties in identifying the probabilistic model for the deterioration process as the actual deterioration data are rather limited. Also, the depe

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30

Kousha, Termeh. "Topics in Random Matrices: Theory and Applications to Probability and Statistics." Thèse, Université d'Ottawa / University of Ottawa, 2011. http://hdl.handle.net/10393/20480.

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In this thesis, we discuss some topics in random matrix theory which have applications to probability, statistics and quantum information theory. In Chapter 2, by relying on the spectral properties of an associated adjacency matrix, we find the distribution of the maximum of a Dyck path and show that it has the same distribution function as the unsigned Brownian excursion which was first derived in 1976 by Kennedy. We obtain a large and moderate deviation principle for the law of the maximum of a random Dyck path. Our result extends the results of Chung, Kennedy and Khorunzhiy and Marckert. In

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31

Hudson, Derek Lavell. "Improving Accuracy in Microwave Radiometry via Probability and Inverse Problem Theory." Diss., CLICK HERE for online access, 2009. http://contentdm.lib.byu.edu/ETD/image/etd3244.pdf.

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32

Balch, Michael Scott. "Methods for Rigorous Uncertainty Quantification with Application to a Mars Atmosphere Model." Diss., Virginia Tech, 2010. http://hdl.handle.net/10919/30115.

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The purpose of this dissertation is to develop and demonstrate methods appropriate for the quantification and propagation of uncertainty in large, high-consequence engineering projects. The term "rigorous uncertainty quantification" refers to methods equal to the proposed task. The motivating practical example is uncertainty in a Mars atmosphere model due to the incompletely characterized presence of dust. The contributions made in this dissertation, though primarily mathematical and philosophical, are driven by the immediate needs of engineers applying uncertainty quantification in the field

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33

Słowiński, Witold. "Autonomous learning of domain models from probability distribution clusters." Thesis, University of Aberdeen, 2014. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=211059.

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Nontrivial domains can be difficult to understand and the task of encoding a model of such a domain can be difficult for a human expert, which is one of the fundamental problems of knowledge acquisition. Model learning provides a way to address this problem by allowing a predictive model of the domain's dynamics to be learnt algorithmically, without human supervision. Such models can provide insight about the domain to a human or aid in automated planning or reinforcement learning. This dissertation addresses the problem of how to learn a model of a continuous, dynamic domain, from sensory obs

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34

Ong, Chong Tean. "On the undetected error probability of linear codes." Thesis, University of British Columbia, 1990. http://hdl.handle.net/2429/29722.

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The probability of undetected error P[formula omitted](є) for the primitive triple-error-correcting BCH codes of blocklength 2[formula omitted]  1, used solely for error detection on a binary symmetric channel with crossover probability є ≤ 1/2, is examined. It is shown that for odd values of m, P[formula omitted(є) increases monotonically with є. For even values of m, this is not necessarily true. However, for a fixed є, as m increases, P[formula omitted](є) approaches 2‾[formula omitted] where p is the number of parity bits. The extended double and triple-error-correcting primitive BCH cod

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35

Guinaudeau, Alexandre. "Estimating the probability of event occurrence." Thesis, KTH, Skolan för elektroteknik och datavetenskap (EECS), 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-246338.

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In complex systems anomalous behaviors can occur intermittently and stochastically. In this case, it is hard to diagnose real errors among spurious ones. These errors are often hard to troubleshoot and require close attention, but troubleshooting each occurrence is time-consuming and is not always an option. In this thesis, we define two different models to estimate the underlying probability of occurrence of an error, one based on binary segmentation and null hypothesis testing, and the other one based on hidden Markov models. Given a threshold level of confidence, these models are tuned to t

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36

Pashley, Peter J. "The analysis of latency data using the inverse Gaussian distribution /." Thesis, McGill University, 1987. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=75343.

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The inverse Gaussian distribution is investigated as a basis for statistical analyses of skewed and possibly censored response times. This distribution arises from a random walk process, is a member of the exponential family, and admits the sample arithmetic and harmonic means as complete sufficient statistics. In addition, the inverse Gaussian provides a reasonable alternative to the more commonly used lognormal statistical model due to the attractive properties of its parameter estimates.<br>Three modifications were made to the basic distribution definition: adding a shift parameter to accou

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37

Seidel, Karen. "Probabilistic communicating processes." Thesis, University of Oxford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.306194.

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38

Etheridge, Alison Mary. "Asymptotic behaviour of some measure-valued diffusions." Thesis, University of Oxford, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.329943.

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39

Johnston, John C. "Bayesian analysis of inverse problems in physics." Thesis, University of Oxford, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.337737.

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40

Ding, Xiqian, and 丁茜茜. "Some new statistical methods for a class of zero-truncated discrete distributions with applications." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2015. http://hdl.handle.net/10722/211126.

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Counting data without zero category often occur in various _elds. Examples include days of hospital stay for patients, numbers of publication for tenure-tracked faculty in a university, numbers of tra_c violation for drivers during a certain period and so on. A class of zero-truncated discrete models such as zero-truncated Poisson, zero-truncated binomial and zero-truncated negative-binomial distributions are proposed in literature to model such count data. In this thesis, firstly, literature review is presented in Chapter 1 on a class of commonly used univariate zero-truncated discrete distri

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41

Russell, N. S. "Stochastic techniques for time series with applications to materials accountancy." Thesis, University of Southampton, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.356093.

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42

Oldfield, Martin John. "Advances in probabilistic modelling." Thesis, University of Cambridge, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.362928.

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43

Baxter, Martin William. "Discounted functionals of Markov processes." Thesis, University of Cambridge, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.309008.

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44

Mbah, Alfred Kubong. "On the theory of records and applications." [Tampa, Fla.] : University of South Florida, 2007. http://purl.fcla.edu/usf/dc/et/SFE0002216.

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45

Sheehy, Anne. "Kullback-Leibler estimation of probability measures with an application to clustering /." Thesis, Connect to this title online; UW restricted, 1987. http://hdl.handle.net/1773/8968.

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46

Nordvall, Lagerås Andreas. "Markov Chains, Renewal, Branching and Coalescent Processes : Four Topics in Probability Theory." Doctoral thesis, Stockholm University, Department of Mathematics, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-6637.

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<p>This thesis consists of four papers.</p><p>In paper 1, we prove central limit theorems for Markov chains under (local) contraction conditions. As a corollary we obtain a central limit theorem for Markov chains associated with iterated function systems with contractive maps and place-dependent Dini-continuous probabilities.</p><p>In paper 2, properties of inverse subordinators are investigated, in particular similarities with renewal processes. The main tool is a theorem on processes that are both renewal and Cox processes.</p><p>In paper 3, distributional properties of supercritical and esp

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47

Nordvall, Lagerås Andreas. "Markov chains, renewal, branching and coalescent processes : four topics in probability theory /." Stockholm : Department of Mathematics, Stockholm university, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-6637.

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48

Gusakova, Anna [Verfasser]. "Application of Probability Methods in Number Theory and Integral Geometry / Anna Gusakova." Bielefeld : Universitätsbibliothek Bielefeld, 2018. http://d-nb.info/1174670371/34.

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49

S, Suslova O. "Consideration of some problems of probability theory in the field of insurance." Thesis, National Aviation University, 2021. https://er.nau.edu.ua/handle/NAU/50738.

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1. Higher mathematics. Probability Theory. Random events. Method Guide to self study /І. О. Lastivka, I. S. Klyus V.I.Trofymenko – К. : NАU, 2018. – 48 p. 2. 2. Kuzmichov A.I. OptimIzatsIynI metodi I modelI: praktikum v Excel : navchalniy posIbnik / A.I.Kuzmichov. – KiYiv: VPTs AMU, 2013. – 438<br>In the economic sphere, which is one of the most important spheres of society, probability theory plays an important role and, therefore, is an integral part of the training of specialists such as economists and financiers. Probability theory techniques should be used where it is possible to crea

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50

Apedaile, Thomas J. "Computational Topics in Lie Theory and Representation Theory." DigitalCommons@USU, 2014. https://digitalcommons.usu.edu/etd/2156.

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The computer algebra system Maple contains a basic set of commands for working with Lie algebras. The purpose of this thesis was to extend the functionality of these Maple packages in a number of important areas. First, programs for dening multiplication in several types of Cayley algebras, Jordan algebras and Cliord algebras were created to allow users to perform a variety of calculations. Second, commands were created for calculating some basic properties of nite-dimensional representations of complex semisimple Lie algebras. These commands allow one to identify a given representation as dir

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