Ebook: Empirical Bayes and Likelihood Inference

Bayesian and likelihood approaches to inference have a number of points of close contact, especially from an asymptotic point of view. Both approaches emphasize the construction of interval estimates of unknown parameters. Empirical Bayes methods have historically emphasized instead the construction of point estimates. In this volume researchers present recent work on several aspects of Bayesian, likelihood and empirical Bayes methods, presented at a workshop held in Montreal, Canada. The goal of the workshop was to explore the linkages among the methods, and to suggest new directions for research in the theory of inference.

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Bayesian and likelihood approaches to inference have a number of points of close contact, especially from an asymptotic point of view. Both approaches emphasize the construction of interval estimates of unknown parameters. Empirical Bayes methods have historically emphasized instead the construction of point estimates. In this volume researchers present recent work on several aspects of Bayesian, likelihood and empirical Bayes methods, presented at a workshop held in Montreal, Canada. The goal of the workshop was to explore the linkages among the methods, and to suggest new directions for research in the theory of inference.

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Bayesian and likelihood approaches to inference have a number of points of close contact, especially from an asymptotic point of view. Both approaches emphasize the construction of interval estimates of unknown parameters. Empirical Bayes methods have historically emphasized instead the construction of point estimates. In this volume researchers present recent work on several aspects of Bayesian, likelihood and empirical Bayes methods, presented at a workshop held in Montreal, Canada. The goal of the workshop was to explore the linkages among the methods, and to suggest new directions for research in the theory of inference.
Content:
Front Matter....Pages i-xiv
Bayes/EB Ranking, Histogram and Parameter Estimation: Issues and Research Agenda....Pages 1-16
Empirical Bayes Estimators and EM Algorithms in One-Way Analysis of Variance Situations....Pages 17-32
EB and EBLUP in Small Area Estimation....Pages 33-43
Semiparametric Empirical Bayes Estimation in Linear Models....Pages 45-65
Empirical Bayes Procedures for a Change Point Problem with Application to HIV/AIDS Data....Pages 67-79
Bayes and Empirical Bayes Estimates of Survival and Hazard Functions of a Class of Distributions....Pages 81-87
Bayes and Empirical Bayes Procedures for Selecting Good Populations From a Translated Exponential Family....Pages 89-101
Shrinkage Estimation of Regression Coefficients From Censored Data With Multiple Observations....Pages 103-120
Bayesian and Likelihood Inference for the Generalized Fieller—Creasy Problem....Pages 121-139
The Estimation of Ratios From Paired Data....Pages 141-159
Meta-Analysis: Conceptual Issues of Addressing Apparent Failure of Individual Study Replication or “Inexplicable” Heterogeneity....Pages 161-183
Ancillary Information for Statistical Inference....Pages 185-209
The Relevance Weighted Likelihood With Applications....Pages 211-235
Back Matter....Pages 237-238

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Bayesian and likelihood approaches to inference have a number of points of close contact, especially from an asymptotic point of view. Both approaches emphasize the construction of interval estimates of unknown parameters. Empirical Bayes methods have historically emphasized instead the construction of point estimates. In this volume researchers present recent work on several aspects of Bayesian, likelihood and empirical Bayes methods, presented at a workshop held in Montreal, Canada. The goal of the workshop was to explore the linkages among the methods, and to suggest new directions for research in the theory of inference.
Content:
Front Matter....Pages i-xiv
Bayes/EB Ranking, Histogram and Parameter Estimation: Issues and Research Agenda....Pages 1-16
Empirical Bayes Estimators and EM Algorithms in One-Way Analysis of Variance Situations....Pages 17-32
EB and EBLUP in Small Area Estimation....Pages 33-43
Semiparametric Empirical Bayes Estimation in Linear Models....Pages 45-65
Empirical Bayes Procedures for a Change Point Problem with Application to HIV/AIDS Data....Pages 67-79
Bayes and Empirical Bayes Estimates of Survival and Hazard Functions of a Class of Distributions....Pages 81-87
Bayes and Empirical Bayes Procedures for Selecting Good Populations From a Translated Exponential Family....Pages 89-101
Shrinkage Estimation of Regression Coefficients From Censored Data With Multiple Observations....Pages 103-120
Bayesian and Likelihood Inference for the Generalized Fieller—Creasy Problem....Pages 121-139
The Estimation of Ratios From Paired Data....Pages 141-159
Meta-Analysis: Conceptual Issues of Addressing Apparent Failure of Individual Study Replication or “Inexplicable” Heterogeneity....Pages 161-183
Ancillary Information for Statistical Inference....Pages 185-209
The Relevance Weighted Likelihood With Applications....Pages 211-235
Back Matter....Pages 237-238
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