Eustat

Seminar

INTRODUCCIÓN A LA ESTADÍSTICA BAYESIANA / BAYESIAN ESTATISTIKARAKO SARRERA / AN INTRODUCTION TO BAYESIAN STATISTICS

CONTENTS

1. INTRODUCTION (11)
2. FOUNDATIONS (14)
   1. Probability as a Measure of Conditional Uncertainty (14)
   2. Statistical Inference and Decision Theory (16)
   3. Exchangeability and Representation Theorem (18)
3. THE BAYESIAN PARADIGM (19)
   1. The Learning Process (20)
   2. Predictive Distributions(25)
   3. Asymptotic Behaviour (26)
4. INFERENCE SUMMARIES (28)
   1. Estimation (28)
   2. Hypothesis Testing (33)
5. REFERENCE ANALYSIS (36)
   1. Reference Distributions (37)
   2. Frequentist Properties (43)
6. A SIMPLIFIED CASE STUDY(45)
   1. Objective Bayesian Analysis(46)
   2. Sensitivity Analysis (49)
7. DISCUSSION AND FURTHER ISSUES(50)
   1. Coherence (51)
   2. Objectivity(51)
   3. Applicability (52)
8. ANNOTATED BIBLIOGRAPHY (54)