Information and Exponential Families: In Statistical Theory

✍ Scribed by Barndorff-Nielsen, Ole E.

• Publisher: Wiley
• Year: 2014
• Tongue: English
• Leaves: 236
• Series: Wiley series in probability and mathematical statistics - tracts
• Edition: Reprint
• Category: Library

✦ Table of Contents

A Note from the Author ......Page 3
Preface ......Page 4
Contents ......Page 5
1. Introduction ......Page 8
Part I. Lods Functions ad Inferential Separation ......Page 16
2. Likelihood and Plausibility ......Page 17
3. Sample-Hypothesis Duality and Lods Functions ......Page 24
4. Logic of Inferential Separation. Ancillarity and Sufficiency ......Page 37
Part II. Convex Analysis, Unimodality, and Laplace Transforms ......Page 75
5. Convex Analysis ......Page 76
6. Log-concavity and Unimodality ......Page 95
7. Laplace Transforms ......Page 105
Part III. Exponential Families ......Page 111
8. Introductory Theory of Exponential Families ......Page 112
9. Duality and Exponential Families ......Page 139
10. Inferential Separation and Exponential Families ......Page 191
References ......Page 220
Author Index ......Page 229
Subject Index ......Page 231