An Introduction to Bayesian Analysis: Theory and Methods (Springer Texts in Statistics)

Ghosh, Jayanta K. K.; Delampady, Mohan; Samanta, Tapas

ISBN 10: 1441923039 / ISBN 13: 9781441923035

Editore: Springer, 2010

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Codice articolo I-9781441923035

Dati bibliografici

• Titolo: An Introduction to Bayesian Analysis: Theory and Methods (Springer Texts in Statistics)
• Editore: Springer
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 1441923039
• ISBN 13: 9781441923035
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

This book is a contemporary introduction to theory, methods and computation in Bayesian Analysis. It focuses on topics that have stood the test of time and emerging areas such as reference priors, objective Bayes testing, Bayesian model selection and wavelets. No other such book is available in the market.

Dalla quarta di copertina

<p>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.</p><p></p><p>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.</p><p></p><p>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.</p><p></p><p>The style is informal but clear. Asymptotics is used to supplement simulation or understand some aspects of the posterior.</p><p></p><p>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 <em>Sankhya</em> and has served on the editorial boards of several journals including the <em>Annals of Statistics</em>. 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.</p><p></p><p>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.</p><p></p>