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Probability & Statistics - Bayesian Analysis

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The Oxford Handbook of Applied Bayesian Analysis
by O' Hagan, Anthony    West, Mike   
(Paperback - English - 9780198703174)
Bayesian analysis has developed rapidly in applications in the last two decades and research in Bayesian methods remains dynamic and fast-growing. Dramatic advances in modelling concepts and computational technologies now enable routine application of Bayesian analysis using increasingly realistic stochastic models, and this drives the adoption of Bayesian approaches in many areas of science, technology, commerce, and industry. This Handbook explores contemporary Bayesian analysis across a variety of application areas. Chapters written by leading exponents of applied Bayesian analysis showcase the scientific ease and natural application of Bayesian modelling, a ..
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Data Analysis: A Bayesian Tutorial
by Sivia, Devinderjit    Skilling, John   
(Paperback - English - 9780198568322)
Statistics lectures have been a source of much bewilderment and frustration for generations of students. This book attempts to remedy the situation by expounding a logical and unified approach to the whole subject of data analysis. This text is intended as a tutorial guide for senior undergraduates and research students in science and engineering. After explaining the basic principles of Bayesian probability theory, their use is illustrated with a variety of examples ranging from elementary parameter estimation to image processing. Other topics covered include reliability analysis, multivariate optimization, least-squares and maximum likelihood, error-propagati ..
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The Oxford Handbook of Applied Bayesian Analysis
by O'Hagan, Anthony    West, Mike   
(Hardcover - English - 9780199548903)
Bayesian analysis has developed rapidly in applications in the last two decades and research in Bayesian methods remains dynamic and fast-growing. Dramatic advances in modelling concepts and computational technologies now enable routine application of Bayesian analysis using increasingly realistic stochastic models, and this drives the adoption of Bayesian approaches in many areas of science, technology, commerce, and industry. This Handbook explores contemporary Bayesian analysis across a variety of application areas. Chapters written by leading exponents of applied Bayesian analysis showcase the scientific ease and natural application of Bayesian modelling, a ..
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Martingale Methods in Statistics
by Nishiyama, Yoichi       
(Hardcover - English - 9781466582811)
strong Martingale Methods in Statistics strong provides a unique introduction to statistics of stochastic processes written with the author's strong desire to present what is not available in other textbooks. While the author chooses to omit the well-known proofs of some of fundamental theorems in martingale theory by making clear citations instead, the author does his best to describe some intuitive interpretations or concrete usages of such theorems. On the other hand, the exposition of relatively new theorems in asymptotic statistics is presented in a completely self-contained way. Some simple, easy-to-understand proofs of martingale central limit theorems ..
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Statistics for Astrophysics: Bayesian Methodology
by Fraix‐burnet, Didier    Girard, Stéphane    Arbel, Julyan
(Paperback - English - 9782759822744)
This book includes the lectures given during the third session of the School of Statistics for Astrophysics that took place at Autrans, near Grenoble, in France, in October 2017. The subject is Bayesian Methodology. The interest of this statistical approach in astrophysics probably comes from its necessity and its success in determining the cosmological parameters from observations, especially from the cosmic background fluctuations. The cosmological community has thus been very active in this field for many years. But the Bayesian methodology, complementary to the more classical frequentist one, has many applications in physics in general due to its ability to ..
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Probability and Statistics for Computer Scientists
by Baron, Michael       
(Hardcover - English - 9781138044487)
Praise for the Second Edition: "The author has done his homework on the statistical tools needed for the particular challenges computer scientists encounter... [He] has taken great care to select examples that are interesting and practical for computer scientists. ... The content is illustrated with numerous figures, and concludes with appendices and an index. The book is erudite and ... could work well as a required text for an advanced undergraduate or graduate course." ---Computing Reviews Probability and Statistics for Computer Scientists, Third Edition helps students understand fundamental concepts of Probability and Statistics, general methods of stochast ..
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Information Processing: Supplemental Exercises for Volume I
by Blower, David J.       
(Paperback - English - 9781981338139)
This book contains an extensive number of fully solved problems in Boolean Algebra, Classical Logic, Cellular Automata, and formal probability manipulations to augment the already existing exercises of Volume I.Thus, the problems solved here are somewhat harder or more involved than those appearing in Volume I.also indulge in the luxury of taking as much space asdesire to fully explicate some core concepts that could only be touched upon lightly in Volume I.For example,devote a full eight pages and four separate exercises to explain the combinatorial counting formulas through Feller's classic problem of computing the probability of the number of accidents during ..
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Introduction to Probability with Mathematica
by Hastings, Kevin J.       
(Paperback - English - 9780367385194)
Updated to conform to Mathematica (R) 7.0, strong Introduction strong strong to Probability with Mathematica (R), Second Edition strong continues to show students how to easily create simulations from templates and solve problems using Mathematica . It provides a real understanding of probabilistic modeling and the analysis of data and encourages the application of these ideas to practical problems. The accompanyingdownloadable resources offer instructors the option of creating class notes, demonstrations, and projects. strong New to the Second Edition strong ul li Expanded section on Markov chains that includes a study of absorbing chains li ..
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Bayesian Model Selection and Statistical Modeling
by Ando, Tomohiro       
(Paperback - English - 9780367383978)
Along with many practical applications, strong Bayesian Model Selection and Statistical Modeling strong presents an array of Bayesian inference and model selection procedures. It thoroughly explains the concepts, illustrates the derivations of various Bayesian model selection criteria through examples, and provides R code for implementation. The author shows how to implement a variety of Bayesian inference using R and sampling methods, such as Markov chain Monte Carlo. He covers the different types of simulation-based Bayesian model selection criteria, including the numerical calculation of Bayes factors, the Bayesian predictive information criterion, and t ..
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Information Processing: An Introduction to Information Geometry
by Blower, David J.       
(Paperback - English - 9781530194230)
This book attempts to lay down some minimal set of coherent and consistent requirements for Advanced Information Processors (AIPs). The idea is advanced that AIPs should reason in an optimal manner by generalizing logic. Logic is generalized through the auspices of probability theory. Probability is presented through the viewpoint of the formal manipulation rules such as Bayes's Theorem and the maximum entropy principle. Information Geometry is an alternative way to think about the mathematical characterization of entropy and the assignment of numerical values to probabilities. The approach emphasizes many solved numerical examples and relies upon the computatio ..
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Statistical Methods with Applications to Demography and Life Insurance
by Khmaladze, Estate V.       
(Paperback - English - 9780367380236)
Suitable for statisticians, mathematicians, actuaries, and students interested in the problems of insurance and analysis of lifetimes, strong Statistical Methods with Applications to Demography and Life Insurance strong presents contemporary statistical techniques for analyzing life distributions and life insurance problems. It not only contains traditional material but also incorporates new problems and techniques not discussed in existing actuarial literature. The book mainly focuses on the analysis of an individual life and describes statistical methods based on empirical and related processes. Coverage ranges from analyzing the tails of distributions of ..
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More Random Walks in Science
by Weber, R. L.       
(Paperback - English - 9780367403423)
More Random Walks in Science is an anthology of fascinating and frequently amusing anecdotes, quotations, illustrations, articles, and reviews that reflect the more lighthearted aspects of the scientific world and the less serious excursions of the scientific mind. The book is guaranteed to delight anyone who has a professional or amateur interest in science. ..
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Statistics for Data Science and Policy Analysis
by Rahman, Azizur       
(Paperback - English - 9789811517372)
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Statistical Analysis of Empirical Data: Methods for Applied Sciences
by Pardo, Scott       
(Paperback - English - 9783030433307)
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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Probability, Choice, and Reason
by Williams, Leighton Vaughan       
(Paperback - English - 9780367538910)
Much of our thinking is flawed because it is based on faulty intuition. By using the framework and tools of probability and statistics, we can overcome this to provide solutions to many real-world problems and paradoxes. We show how to do this, and find answers that are frequently very contrary to what we might expect. Along the way, we venture into diverse realms and thought experiments which challenge the way that we see the world. Features: ul li An insightful and engaging discussion of some of the key ideas of probabilistic and statistical thinking li li Many classic and novel problems, paradoxes, and puzzles li li An exploration of some o ..
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Probability, Choice, and Reason
by Williams, Leighton Vaughan       
(Hardcover - English - 9780367538934)
Much of our thinking is flawed because it is based on faulty intuition. By using the framework and tools of probability and statistics, we can overcome this to provide solutions to many real-world problems and paradoxes. We show how to do this, and find answers that are frequently very contrary to what we might expect. Along the way, we venture into diverse realms and thought experiments which challenge the way that we see the world. Features: ul li An insightful and engaging discussion of some of the key ideas of probabilistic and statistical thinking li li Many classic and novel problems, paradoxes, and puzzles li li An exploration of some o ..
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Case Studies in Applied Bayesian Data Science: Cirm Jean-Morlet Chair, Fall 2018
by Mengersen, Kerrie L.    Pudlo, Pierre    Robert, Christian P.
(Paperback - English - 9783030425524)
Presenting a range of substantive applied problems within Bayesian Statistics along with their Bayesian solutions, this book arises from a research program at CIRM in France in the second semester of 2018, which supported Kerrie Mengersen as a visiting Jean-Morlet Chair and Pierre Pudlo as the local Research Professor. The field of Bayesian statistics has exploded over the past thirty years and is now an established field of research in mathematical statistics and computer science, a key component of data science, and an underpinning methodology in many domains of science, business and social science. Moreover, while remaining naturally entwined, the three arm ..
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Sequential Change Detection and Hypothesis Testing: General Non-i.i.d. Stochastic Models and Asymptotically Optimal Rules
by Tartakovsky, Alexander       
(Paperback - English - 9781032084350)
How can major corporations and governments more quickly and accurately detect and address cyberattacks on their networks? How can local authorities improve early detection and prevention of epidemics? How can researchers improve the identification and classification of space objects in difficult (e.g., dim) settings? br br br br These questions, among others in dozens of fields, can be addressed using statistical methods of sequential hypothesis testing and changepoint detection. This book considers sequential changepoint detection for very general non-i.i.d. stochastic models, that is, when the observed data is dependent and non-identically distributed ..
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Introduction to Functional Data Analysis
by Kokoszka, Piotr    Reimherr, Matthew   
(Paperback - English - 9781032096599)
Introduction to Functional Data Analysis provides a concise textbook introduction to the field. It explains how to analyze functional data, both at exploratory and inferential levels. It also provides a systematic and accessible exposition of the methodology and the required mathematical framework. The book can be used as textbook for a semester-long course on FDA for advanced undergraduate or MS statistics majors, as well as for MS and PhD students in other disciplines, including applied mathematics, environmental science, public health, medical research, geophysical sciences and economics. It can also be used for self-study and as a reference for researchers ..
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Cure Models: Methods, Applications, and Implementation
by Peng, Yingwei    Yu, Binbing   
(Hardcover - English - 9780367145576)
strong Cure Models: Methods, Applications and Implementation strong is the first book in the last 25 years that provides a comprehensive and systematic introduction to the basics of modern cure models, including estimation, inference, and software. This book is useful for statistical researchers and graduate students, and practitioners in other disciplines to have a thorough review of modern cure model methodology and to seek appropriate cure models in applications. The prerequisites of this book include some basic knowledge of statistical modeling, survival models, and R and SAS for data analysis. The book features real-world examples from clinical trials ..
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