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Probability & Statistics - Bayesian Analysis

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Stochastic Processes and Related Topics: Proceedings of the 12th Winter School, Siegmundsburg (Germany), February 27-March 4, 2000
by Buckdahn, Rainer    Engelbert, Hans J.    Yor, Marc
(Paperback - English - 9780367396145)
This volume comprises selected papers presented at the 12th Winter School on Stochastic Processes and their Applications, which was held in Siegmundsburg, Germany, in March 2000. The contents include Backward Stochastic Differential Equations; Semilinear PDE and SPDE; Arbitrage Theory; Credit Derivatives and Models for Correlated Defaults; Three Intertwined Brownian Topics: Exponential Functionals, Winding Numbers and Local Times. A unique opportunity to read ideas from all the top experts on the subject, Stochastic Processes and Related Topics is intended for postgraduates and researchers working in this area of mathematics and provides a useful source of refer ..
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Reliability Improvement with Design of Experiment: Second Edition, Revised and Expanded
by Condra, Lloyd       
(Paperback - English - 9780367397395)
A guide to implementing and operating a practical reliability program using carefully designed experiments to provide information quickly, efficiently and cost effectively. It emphasizes real world solutions to daily problems. The second edition contains a special expanded section demonstrating how to combine accelerated testing with design of experiments for immediate improvement. ..
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Introduction to Probability and Statistics, Second Edition,
by Giri       
(Paperback - English - 9780367402396)
Beginning with the historical background of probability theory, this thoroughly revised text examines all important aspects of mathematical probability - including random variables, probability distributions, characteristic and generating functions, stochatic convergence, and limit theorems - and provides an introduction to various types of statistical problems, covering the broad range of statistical inference.;Requiring a prerequisite in calculus for complete understanding of the topics discussed, the Second Edition contains new material on: univariate distributions; multivariate distributions; large-sample methods; decision theory; and applications of ANOVA.; ..
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Elements of Bayesian Statistics
by Florens       
(Paperback - English - 9780367403218)
The ingratiating title notwithstanding, this is in no standard sense a text but a monograph, based largely upon the authors' research over a period of years, and intended to be read by sophisticated students of theoretical statistics. No exercises attach to the nine chapters, nor are they interrup ..
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A Whistle-Stop Tour of Statistics
by Everitt, Brian       
(Hardcover - English - 9781138460294)
The book is intended as a quick source of reference and as an aide-memoir for students taking A-level, undergraduate or postgraduate statistics courses. It includes numerous examples, helping instructors on such courses by providing their students with small data sets with which to work. ..
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Introduction to the Theory of Statistical Inference
by Liero, Hannelore    Zwanzig, Silvelyn   
(Hardcover - English - 9781138460324)
Based on the authors lecture notes, Introduction to the Theory of Statistical Inference presents concise yet complete coverage of statistical inference theory, focusing on the fundamental classical principles. Suitable for a second-semester undergraduate course on statistical inference, the book offers proofs to support the mathematics. It illustrates core concepts using cartoons and provides solutions to all examples and problems. Highlights Basic notations and ideas of statistical inference are explained in a mathematically rigorous, but understandable, form br Classroom-tested and designed for students of mathematical statistics br Examples, applications ..
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Random Processes: A First Look, Second Edition,
by Syski       
(Paperback - English - 9780367451196)
This book develops appreciation of the ingenuity involved in the mathematical treatment of random phenomena, and of the power of the mathematical methods employed in the solution of applied problems. It is intended to students interested in applications of probability to their disciplines. ..
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Elementary Applications of Probability Theory: With an Introduction to Stochastic Differential Equations
by Tuckwell, Henry C.       
(Paperback - English - 9780367449056)
This book provides a clear and straightforward introduction to applications of probability theory with examples given in the biological sciences and engineering. The first chapter contains a summary of basic probability theory. Chapters two to five deal with random variables and their applications. Topics covered include geometric probability, estimation of animal and plant populations, reliability theory and computer simulation. Chapter six contains a lucid account of the convergence of sequences of random variables, with emphasis on the central limit theorem and the weak law of numbers. The next four chapters introduce random processes, including random walks ..
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Multifractals: Theory and Applications
by Harte, David       
(Paperback - English - 9780367455200)
Although multifractals are rooted in probability, much of the related literature comes from the physics and mathematics arena. Multifractals: Theory and Applications pulls together ideas from both these areas using a language that makes them accessible and useful to statistical scientists. It provides a framework, in particular, for the evaluation of statistical properties of estimates of the Renyi fractal dimensions. The first section provides introductory material and different definitions of a multifractal measure. The author then examines some of the various constructions for describing multifractal measures. Building from the theory of large deviations, he ..
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Statistical Analysis of Empirical Data: Methods for Applied Sciences
by Pardo, Scott       
(Hardcover - English - 9783030433277)
Researchers and students who use empirical investigation in their work must go through the process of selecting statistical methods for analyses, and they are often challenged to justify these selections. This book is designed for readers with limited background in statistical methodology who seek guidance in defending their statistical decision-making in the worlds of research and practice. It is devoted to helping students and scholars find the information they need to select data analytic methods, and to speak knowledgeably about their statistical research processes. Each chapter opens with a conundrum relating to the selection of an analysis, or to explainin ..
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Stochastik: Einführung in Die Wahrscheinlichkeitstheorie Und Statistik
by Georgii, Hans-Otto       
(Paperback - German - 9783110359695)
Dieses Lehrbuch gibt eine Einführung in die "Mathematik des Zufalls", bestehend aus den beiden Teilbereichen Wahrscheinlichkeitstheorie und Statistik. Die stochastischen Konzepte, Modelle und Methoden werden durch typische Anwendungsbeispiele motiviert und anschlie end systematisch entwickelt. Der dafür notwendige ma theoretische Rahmen wird gleich zu Beginn auf elementarem Niveau bereitgestellt. Zahlreiche Übungsaufgaben, zum Teil mit Lösungsskizzen, illustrieren und ergänzen den Text. Zielgruppe sind Studierende der Mathematik ab dem dritten Semester, sowie Naturwissenschaftler und Informatiker mit Interesse an den mathematischen Grundlagen der Stochastik. Di ..
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Introduction to Probability with Texas Hold 'em Examples
by Schoenberg, Frederic Paik       
(Hardcover - English - 9781138469655)
Introduction to Probability with Texas Hold'em Examples illustrates both standard and advanced probability topics using the popular poker game of Texas Hold'em, rather than the typical balls in urns. The author uses students' natural interest in poker to teach important concepts in probability. ..
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The Bugs Book: A Practical Introduction to Bayesian Analysis
by Lunn, David    Jackson, Chris    Best, Nicky
(Hardcover - English - 9781138469488)
Bayesian statistical methods have become widely used for data analysis and modelling in recent years, and the BUGS software has become the most popular software for Bayesian analysis worldwide. Authored by the team that originally developed this software, The BUGS Book provides a practical introduction to this program and its use. The text presents complete coverage of all the functionalities of BUGS, including prediction, missing data, model criticism, and prior sensitivity. It also features a large number of worked examples and a wide range of applications from various disciplines. The book introduces regression models, techniques for criticism and comparison ..
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Chain Event Graphs: Chapman & Hall/CRC Computer Science and Data Analysis Series
by Collazo, Rodrigo A.    Goergen, Christiane    Smith, Jim Q.
(Paperback - English - 9780367572310)
Written by some major contributors to the development of this class of graphical models, Chain Event Graphs introduces a viable and straightforward new tool for statistical inference, model selection and learning techniques. The book extends established technologies used in the study of discrete Bayesian Networks so that they apply in a much more general setting br As the first book on Chain Event Graphs, this monograph is expected to become a landmark work on the use of event trees and coloured probability trees in statistics, and to lead to the increased use of such tree models to describe hypotheses about how events might unfold. Features: ul li i ..
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Bayesian Inference for Stochastic Processes
by Broemeling, Lyle D.       
(Paperback - English - 9780367572433)
This is the first book designed to introduce Bayesian inference procedures for stochastic processes. There are clear advantages to the Bayesian approach (including the optimal use of prior information). Initially, the book begins with a brief review of Bayesian inference and uses many examples relevant to the analysis of stochastic processes, including the four major types, namely those with discrete time and discrete state space and continuous time and continuous state space. The elements necessary to understanding stochastic processes are then introduced, followed by chapters devoted to the Bayesian analysis of such processes. It is important that a chapter d ..
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Weakly Stationary Random Fields, Invariant Subspaces and Applications
by Mandrekar, Vidyadhar S.    Redett, David A.   
(Paperback - English - 9780367572723)
The first book to examine weakly stationary random fields and their connections with invariant subspaces (an area associated with functional analysis). It reviews current literature, presents central issues and most important results within the area. For advanced Ph.D. students, researchers, especially those conducting research on Gaussian theory. ..
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What Makes Variables Random: Probability for the Applied Researcher
by Veazie, Peter J.       
(Paperback - English - 9780367573713)
strong What Makes Variables Random: Probability for the Applied Researcher strong provides an introduction to the foundations of probability that underlie the statistical analyses used in applied research. By explaining probability in terms of measure theory, it gives the applied researchers a conceptual framework to guide statistical modeling and analysis, and to better understand and interpret results. The book provides a conceptual understanding of probability and its structure. It is intended to augment existing calculus-based textbooks on probability and statistics and is specifically targeted to researchers and advanced undergraduate and graduate stu ..
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Bayesian Methods for Measures of Agreement
by Broemeling, Lyle D.       
(Paperback - English - 9780367577384)
Using WinBUGS to implement Bayesian inferences of estimation and testing hypotheses, strong Bayesian Methods for Measures of Agreement strong presents useful methods for the design and analysis of agreement studies. It focuses on agreement among the various players in the diagnostic process. The author employs a Bayesian approach to provide statistical inferences based on various models of intra- and interrater agreement. He presents many examples that illustrate the Bayesian mode of reasoning and explains elements of a Bayesian application, including prior information, experimental information, the likelihood function, posterior distribution, and predictiv ..
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Statistical Inference Based on Divergence Measures
by Pardo, Leandro       
(Paperback - English - 9780367578015)
The idea of using functionals of Information Theory, such as entropies or divergences, in statistical inference is not new. However, in spite of the fact that divergence statistics have become a very good alternative to the classical likelihood ratio test and the Pearson-type statistic in discrete models, many statisticians remain unaware of this powerful approach. Statistical Inference Based on Divergence Measures explores classical problems of statistical inference, such as estimation and hypothesis testing, on the basis of measures of entropy and divergence. The first two chapters form an overview, from a statistical perspective, of the most important measur ..
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Advances on Methodological and Applied Aspects of Probability and Statistics
by Balakrishnan, N.       
(Paperback - English - 9780367578510)
This is one of two volumes that sets forth invited papers presented at the International Indian Statistical Association Conference. This volume emphasizes advancements in methodology and applications of probability and statistics. The chapters, representing the ideas of vanguard researchers on the topic, present several different subspecialties, including applied probability, models and applications, estimation and testing, robust inference, regression and design and sample size methodology. The text also fully describes the applications of these new ideas to industry, ecology, biology, health, economics and management. Researchers and graduate students in mathe ..
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