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Statistics : a Bayesian perspective
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ISBN: 0534234720 9780534234720 Year: 1996 Publisher: Belmont : Duxbury Press,

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Statistics: A Bayesian Perspective is a general introductory test that only assumes familiarity with college algebra and offers the following significant features : it is the only introductory textbook based on Bayesian ideas, it combines concepts and methods, it presents statistics as a means of integrating data into the scientific process, it develops ideas through uncommonly interesting and real-world examples, it introduces, early on, ideas of data analysis and experimental design, and it includes a data disk that also contains Minitab macros specifically useful for calculations.

Introduction to bayesian statistics
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ISBN: 0471270202 9780471270201 Year: 2004 Publisher: London ; New York, NY : Wiley-Interscience,

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An Introduction to Bayesian Analysis : Theory and Methods
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ISBN: 0387400842 9780387400846 1441923039 0387354336 Year: 2006 Publisher: New York, NY : Springer New York : Imprint: Springer,

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This is a graduate-level textbook on Bayesian analysis blending modern Bayesian theory, methods, and applications. Starting from basic statistics, undergraduate calculus and linear algebra, ideas of both subjective and objective Bayesian analysis are developed to a level where real-life data can be analyzed using the current techniques of statistical computing. Advances in both low-dimensional and high-dimensional problems are covered, as well as important topics such as empirical Bayes and hierarchical Bayes methods and Markov chain Monte Carlo (MCMC) techniques. Many topics are at the cutting edge of statistical research. Solutions to common inference problems appear throughout the text along with discussion of what prior to choose. There is a discussion of elicitation of a subjective prior as well as the motivation, applicability, and limitations of objective priors. By way of important applications the book presents microarrays, nonparametric regression via wavelets as well as DMA mixtures of normals, and spatial analysis with illustrations using simulated and real data. Theoretical topics at the cutting edge include high-dimensional model selection and Intrinsic Bayes Factors, which the authors have successfully applied to geological mapping. The style is informal but clear. Asymptotics is used to supplement simulation or understand some aspects of the posterior. J.K. Ghosh has been Director and Jawaharlal Nehru Professor at the Indian Statistical Institute and President of the International Statistical Institute. He is currently a professor of statistics at Purdue University and professor emeritus at the Indian Statistical Institute. He has been the editor of Sankhya and has served on the editorial boards of several journals including the Annals of Statistics. His current interests in Bayesian analysis include asymptotics, nonparametric methods, high-dimensional model selection, reliability and survival analysis, bioinformatics, astrostatistics and sparse and not so sparse mixtures. Mohan Delampady and Tapas Samanta are both professors of statistics at the Indian Statistical Institute and both are interested in Bayesian inference, specifically in topics such as model selection, asymptotics, robustness and nonparametrics.

Tools for statistical inference : methods for the exploration of posterior distributions and likehood functions
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ISBN: 0387946888 1461284716 1461240247 9780387946887 Year: 1996 Publisher: Berlin [etc.] : Springer-Verlag,

Bayesian theory
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ISBN: 047149464X 9780471494645 0471924164 9780471924166 Year: 2000 Publisher: Chichester Wiley

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Recent books in the Wiley Series in Probability and Mathematical Statistics Editors Vic Barnett J. Stuart Hunter Adrian F.M. Smith Geoffrey S. Watson Ralph A. Bradley Joseph B. Kadane Stephen M. Stigler Nicholas I. Fisher David G. Kendall Jozef L. Teugels Optimal Design of Experiments Friedrich Pukelsheim, Universita;t Augsburg, Augsburg, Germany Optimal Design of Experiments presents the first complete theoretical development of optimal design for the linear model, a unified exposition that embraces a wide variety of design problems. It describes the statistical theory involved in designing experiments, and applies it to typical special cases. The design problems originating from statistics are solved using tools from linear algebra and convex analysis. The material is presented in a very clear, careful and organized way. Rather than assaulting traditional ways of thinking about optimal design, this book pulls together formerly separate entities to create a common framework for diverse design problems that share a common goal. Statisticians, mathematicians, engineers, and operations research specialists will find this book stimulating, challenging, and an asset to their work. 1993 Statistics for Spatial Data, Revised Edition Noel Cressie, Iowa State University, USA Designed for the scientific and engineering professional eager to exploit its enormous potential, Statistics for Spatial Data is a primer to the theory as well as the nuts-and-bolts of this influential technique. Focusing on the three areas of geostatistical data, lattice data, and point patterns, the book sheds light on the link between data and model, and reveals how spatial statistical models can be used to solve a host of problems in science and engineering. The previous edition was hailed by Mathematical Reviews as "an excellent book which&#133;will become a basic reference". Revised to reflect state-of-the-art developments, this edition also features many detailed examples, numerous illustra


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A student's guide to Bayesian statistics
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ISBN: 9781473916364 9781473916357 1473916364 1473916356 Year: 2018 Publisher: Los Angeles : Sage ©2018

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"Supported by a wealth of learning features, exercises, and visual elements as well as online video tutorials and interactive simulations, this book is the first student-focused introduction to Bayesian statistics. Without sacrificing technical integrity for the sake of simplicity, the author draws upon accessible, student-friendly language to provide approachable instruction perfectly aimed at statistics and Bayesian newcomers. Through a logical structure that introduces and builds upon key concepts in a gradual way and slowly acclimatizes students to using R and Stan software, the book covers: An introduction to probability and Bayesian inference, Understanding Bayes' rule, Nuts and bolts of Bayesian analytic methods, Computational Bayes and real-world Bayesian analysis, Regression analysis and hierarchical methods. This unique guide will help students develop the statistical confidence and skills to put the Bayesian formula into practice, from the basic concepts of statistical inference to complex applications of analyses."--Back cover.


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The art of abduction
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ISBN: 0262369923 0262369915 0262046709 9780262046701 Year: 2022 Publisher: [Cambridge, Massachusetts] : Massachusetts Institute of Technology,

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"A defense of the rationality of adductive inference from the criticisms of Bayesian theorists"--


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Statistical rethinking : a Bayesian course with examples in R and Stan
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ISBN: 9780367139919 9780429029608 036713991X Year: 2020 Publisher: Boca Raton, FL ; Abingdon : CRC Press, an imprint of Taylor & Francis Group,

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"Statistical Rethinking: A Bayesian Course with Examples in R and Stan, Second Edition builds knowledge/confidence in statistical modeling. Pushes readers to perform step-by-step calculations (usually automated.) Unique, computational approach ensures readers understand details to make reasonable choices and interpretations in their modeling work"--


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The signal and the noise : why so many predictions fail--but some don't.
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ISBN: 9781594204111 159420411X 9781846147739 1846147735 9781846147524 1846147522 Year: 2012 Publisher: New York Penguin Press

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