Best textbook on Bayes and Empirical Bayes Methods for Data Analysis

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收藏 2006-06-29

Contents:

<UL type=disc>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l4 level1 lfo1; tab-stops: list .5in">Introduction<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l4 level1 lfo1; tab-stops: list .5in">Motivating Vignettes<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l4 level1 lfo1; tab-stops: list .5in">Defining the approaches<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l4 level1 lfo1; tab-stops: list .5in">The Bayes-Frequentist Controversy<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l4 level1 lfo1; tab-stops: list .5in">Some Basic Bayesian Models<o:p></o:p></LI></UL>
 THE BAYES APPROACH<o:p></o:p>
<o:p> </o:p>
<UL type=disc>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l6 level1 lfo2; tab-stops: list .5in">Introduction<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l6 level1 lfo2; tab-stops: list .5in">Prior Distributions<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l6 level1 lfo2; tab-stops: list .5in">Bayesian Inference<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l6 level1 lfo2; tab-stops: list .5in">Model Assessment<o:p></o:p></LI></UL>
 THE EMPIRICAL BAYES APPROACH<o:p></o:p>
<o:p> </o:p>
<UL type=disc>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l0 level1 lfo3; tab-stops: list .5in">Introduction<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l0 level1 lfo3; tab-stops: list .5in">Nonparametric EB (NPEB) Point Estimation<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l0 level1 lfo3; tab-stops: list .5in">Parametric EB (PEB) Point Estimation<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l0 level1 lfo3; tab-stops: list .5in">Computation via the EM Algorithm<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l0 level1 lfo3; tab-stops: list .5in">Interval Estimation<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l0 level1 lfo3; tab-stops: list .5in">Generalization to Regression Structures<o:p></o:p></LI></UL>
 PERFORMANCE OF BAYES PROCEDURES<o:p></o:p>
<o:p> </o:p>
<UL type=disc>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l2 level1 lfo4; tab-stops: list .5in">Bayesian Processing<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l2 level1 lfo4; tab-stops: list .5in">Frequentist Performance: Point Estimates<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l2 level1 lfo4; tab-stops: list .5in">Frequentist Performance: Confidence <o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l2 level1 lfo4; tab-stops: list .5in">Intervals<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l2 level1 lfo4; tab-stops: list .5in">Empirical Bayes Performance<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l2 level1 lfo4; tab-stops: list .5in">Design of Experiments<o:p></o:p></LI></UL>
 BAYESIAN COMPUTATION<o:p></o:p>
<o:p> </o:p>
<UL type=disc>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l7 level1 lfo5; tab-stops: list .5in">Introduction<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l7 level1 lfo5; tab-stops: list .5in">Asymptotic Methods<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l7 level1 lfo5; tab-stops: list .5in">Noniterative <st1:place w:st="on">Monte Carlo</st1:place> Methods<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l7 level1 lfo5; tab-stops: list .5in">Markov Chain <st1:place w:st="on">Monte Carlo</st1:place> Methods<o:p></o:p></LI></UL>
 MODEL CRITICISM AND SELECTION<o:p></o:p>
<o:p> </o:p>
<UL type=disc>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l1 level1 lfo6; tab-stops: list .5in">Bayesian Robustness<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l1 level1 lfo6; tab-stops: list .5in">Model Assessment<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l1 level1 lfo6; tab-stops: list .5in">Bayes Factors via Marginal Density <o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l1 level1 lfo6; tab-stops: list .5in">Estimation<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l1 level1 lfo6; tab-stops: list .5in">Bayes Factors via Sampling over the Model Space<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l1 level1 lfo6; tab-stops: list .5in">Other Model Selection Methods<o:p></o:p></LI></UL>
 SPECIAL METHODS AND MODELS<o:p></o:p>
<o:p> </o:p>
<UL type=disc>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l3 level1 lfo7; tab-stops: list .5in">Estimating Histograms and Ranks<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l3 level1 lfo7; tab-stops: list .5in">Order Restricted Inference<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l3 level1 lfo7; tab-stops: list .5in">Nonlinear Models<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l3 level1 lfo7; tab-stops: list .5in">Longitudinal Data Models<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l3 level1 lfo7; tab-stops: list .5in">Continuous and Categorical Time Series<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l3 level1 lfo7; tab-stops: list .5in">Survival Analysis and Frailty Models<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l3 level1 lfo7; tab-stops: list .5in">Sequential Analysis<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l3 level1 lfo7; tab-stops: list .5in">Spatial and Spatio-Temporal Models<o:p></o:p></LI></UL>
 CASE STUDIES<o:p></o:p>
<o:p> </o:p>
<UL type=disc>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l8 level1 lfo8; tab-stops: list .5in">Analysis of Longitudinal AIDS Data<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l8 level1 lfo8; tab-stops: list .5in">Robust Analysis of Clinical Trials<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l8 level1 lfo8; tab-stops: list .5in">Spatio-Temporal Mapping of Lung Cancer Rates<o:p></o:p></LI></UL>
 APPENDICES<o:p></o:p>
<o:p> </o:p>
<UL type=disc>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l5 level1 lfo9; tab-stops: list .5in">A Distributional Catalog<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l5 level1 lfo9; tab-stops: list .5in">Decision Theory<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: #0557a5; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l5 level1 lfo9; tab-stops: list .5in">Software Guide<o:p></o:p></LI></UL>
<o:p> </o:p>