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Information and exponential families : in statistical theory / O. Barndorff-Nielsen.

By: Series: Wiley Series In probability and statisticsPublication details: Chichester : John Wiley, c2014.Description: ix, 238 pISBN:
  • 9781118857502
Subject(s): DDC classification:
  • 000SA.1 23 B259
Contents:
1. Introduction-- 2. Likelihood and plausibility-- 3. Sample-hypothesis duality and lods functions-- 4. Logic of inferential separation ancillarity and sufficiency-- 5. Convex analysis-- 6. Log-concavity and unimodality-- 7. Laplace transforms-- 8. Introductory theory of exponential families-- 9. Duality and exponential families-- 10. Inferential separation and exponential families-- References-- Indexes.
Summary: This book is being re-issued with a new Preface by the author. The roots of the book lie in the writings of RA Fisher both as concerns results and the general stance to statistical science, and this stance was the determining factor in the author's selection of topics. His treatise brings together results on aspects of statistical information, notably concerning likelihood functions, plausibility functions, ancillarity, and sufficiency, and on exponential families of probability distributions.
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Includes bibliographical references and index.

1. Introduction--
2. Likelihood and plausibility--
3. Sample-hypothesis duality and lods functions--
4. Logic of inferential separation ancillarity and sufficiency--
5. Convex analysis--
6. Log-concavity and unimodality--
7. Laplace transforms--
8. Introductory theory of exponential families--
9. Duality and exponential families--
10. Inferential separation and exponential families--
References--
Indexes.

This book is being re-issued with a new Preface by the author. The roots of the book lie in the writings of RA Fisher both as concerns results and the general stance to statistical science, and this stance was the determining factor in the author's selection of topics. His treatise brings together results on aspects of statistical information, notably concerning likelihood functions, plausibility functions, ancillarity, and sufficiency, and on exponential families of probability distributions.

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