Barndorff-Nielsen O.E. Information and Exponential Families: In Statistical Theory

Wiley, 2014. — 236 p. — (Wiley series in probability and mathematical statistics - tracts). — ISBN: 111885750X.First published by Wiley in 1978, 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.Likelihood and plausibility
Sample-hypothesis duality and lods functions
Logic of inferential separation. Ancillarity and sufficiency
Convex analysis, unimodality, and Laplace transforms
Convex analysis
Log-concavity and unimodality
Laplace transforms
Exponential families
Introductory theory of exponential families
Duality and exponential families
Inferential separation and exponential families