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Cover image for Bayesian thinking : modeling and computation
Title:
Bayesian thinking : modeling and computation
Series:
Handbook of statistics ; 25
Publication Information:
Amsterdam : Elsevier, 2005
ISBN:
9780444515391

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30000010105853 QA279.5 B395 2005 Open Access Book Book
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Summary

Summary

This volume describes how to develop Bayesian thinking, modelling and computation both from philosophical, methodological and application point of view. It further describes parametric and nonparametric Bayesian methods for modelling and how to use modern computational methods to summarize inferences using simulation. The book covers wide range of topics including objective and subjective Bayesian inferences with a variety of applications in modelling categorical, survival, spatial, spatiotemporal, Epidemiological, software reliability, small area and micro array data. The book concludes with a chapter on how to teach Bayesian thoughts to nonstatisticians.


Author Notes

C. R. Rao, born in India, is one of this century's foremost statisticians, and received his education in statistics at the Indian Statistical Institute (ISI), Calcutta. He is Emeritus Holder of the Eberly Family Chair in Statistics at Penn State and Director of the Center for Multivariate Analysis. He has long been recognized as one of the world's top statisticians, and has been awarded 34 honorary doctorates from universities in 19 countries spanning 6 continents. His research has influenced not only statistics, but also the physical, social and natural sciences and engineering.

In 2011 he was recipient of the Royal Statistical Society's Guy Medal in Gold which is awarded triennially to those "who are judged to have merited a signal mark of distinction by reason of their innovative contributions to the theory or application of statistics". It can be awarded both to fellows (members) of the Society and to non-fellows. Since its inception 120 years ago the Gold Medal has been awarded to 34 distinguished statisticians. The first medal was awarded to Charles Booth in 1892. Only two statisticians, H. Cramer (Norwegian) and J. Neyman (Polish), outside Great Britain were awarded the Gold medal and C. R. Rao is the first non-European and non-American to receive the award.

Other awards he has received are the Gold Medal of Calcutta University, Wilks Medal of the American Statistical Association, Wilks Army Medal, Guy Medal in Silver of the Royal Statistical Society (UK), Megnadh Saha Medal and Srinivasa Ramanujan Medal of the Indian National Science Academy, J.C.Bose Gold Medal of Bose Institute and Mahalanobis Centenary Gold Medal of the Indian Science Congress, the Bhatnagar award of the Council of Scientific and Industrial Research, India and the Government of India honored him with the second highest civilian award, Padma Vibhushan, for "outstanding contributions to Science and Engineering / Statistics", and also instituted a cash award in honor of C R Rao, "to be given once in two years to a young statistician for work done during the preceding 3 years in any field of statistics".

For his outstanding achievements Rao has been honored with the establishment of an institute named after him, C.R.Rao Advanced Institute for Mathematics, Statistics and Computer Science, in the campus of the University of Hyderabad, India.


Table of Contents

Preface
Contributors
1 Bayesian Inference for Casual EffectsDonald B. Rubin
2 Reference AnalysisJose M. Bernardo
3 Probability Matching PriorsGauri Sankar Datta and Trevor J. Sweeting
4 Model Selection and Hypothesis Testing Based on Objective Probabilities and Bayes FactorsLuis Raul Pericchi
5 Role of P-values and other measures of evidence in Bayesian AnalysisJayanta Ghosh and Sumitra Purkayastha and Tapas Samanta
6 Bayesian Model Checking and Model DiagnosticsHal S. Stern and Sandip Sinharay
7 The Elimination of Nuisance ParametersBrunero Liseo
8 Bayesian Estimation of Multivariate Location ParametersAnn Cohen Brandwein and William E. Strawdermann
9 Bayesian Nonparametric Modeling and Data Analysis: An IntroductionTimothy E. Hanson and Adam J. Branscum and Wesley O. Johnson
10 Some Bayesian Nonparametric ModelsPaul Damien
11 Bayesian Modeling in the Wavelet DomainFabrizio Ruggeri and Brani Vidakovic
12 Bayesian Nonparametric InferenceStephen Walker
13 Bayesian Methods for Function EstimationNidhan Choudhuri and Subhashis Ghosal and Anindya Roy
14 MCMC Methods to Estimate Bayesian Parametric ModelsAntonietta Mira
15 Bayesian Computation: From Posterior Densities to Bayes Factors, Marginal Likelihoods, and Posterior Model ProbabilitiesMing-Hui Chen
16 Bayesian Modelling and Inference on Mixtures of DistributionsJean-Michel Marin and Kerrie Mengersen and Christian P. Robert
17 Simulation Based Optimal DesignPeter Muller
18 Variable Selection and Covariance Selection in Multivariate Regression ModelsEdward Cripps and Chris Carter and Robert Kohn
19 Dynamic ModelsHelio S. Mignon and Dani Gamerman and Hedibert F. Lopes and Marco A.R. Ferreira
20 Bayesian Thinking in Spatial StatisticsLance A. Waller
21 Robust Bayesian AnalysisFabrizio Ruggeri and David Rios Insua and Jacinto Martin
22 Elliptical Measurement Error Models - A Bayesian ApproachHeleno Bolfarine and R.B. Arellano-Valle
23 Bayesian Sensitivity Analysis in Skew-elliptical ModelsIgnacio Vidal and Pilar Iglesias and Marcia Branco
24 Bayesian Methods for DNA Microarray Data AnalysisVeerabhadran Baladandyuthapani and Shubhankar Ray and Bani Mallick
25 Bayesian BiostatisticsDavid B. Dunson
26 Innovative Bayesian Methods for Biostatistics and EpidemiologyPaul Gustafson and Shahadut Hossain and Lawrence McCandless
27 Bayesian Analysis of Case-Control StudiesBhramar Mukherjee and Samiran Sinha and Malay Ghosh
28 Bayesian Analysis of ROC DataValen E. Johnson and Timothy D. Johnson
29 Modeling and Analysis for Categorical Response DataSiddhartha Chib
30 Bayesian Methods and Simulation-Based Computation for Contingency TablesJames H. Albert
31 Multiple Events Time Data: A Bayesian RecourseDebajyoti Sinha and Sujit K. Ghosh
32 Bayesian Survival Analysis for Discrete Data with Left-Truncation and Interval CensoringChong Z. He and Dongchu Sun
33 Software ReliabilityLynn Kuo
34 Bayesian Aspects of Small Area EstimationTapabrata Maiti
35 Teaching Bayesian Thought to NonstatisticiansDalene K. Stangl
Colour Figures
Subject Index
Contents of Previous Volumes
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