Description

Book Synopsis
This book provides a thorough introduction to asymptotic inference. It begins with an elementary treatment of one-parameter statistical models and goes on to discuss basic properties of curved exponential families, the Fisher-Efron-Amari theory and Jeffreys-Rao Riemannian geometry based on Fisher information.

Trade Review
"I highly recommend this book to anyone interested in asymptoticinferences." (Statistics & Decisions, Vol.19 No. 3, 2001)

Table of Contents
Overview and Preliminaries.

ONE-PARAMETER CURVED EXPONENTIAL FAMILIES.

First-Order Asymptotics.

Second-Order Asymptotics.

MULTIPARAMETER CURVED EXPONENTIAL FAMILIES.

Extensions of Results from the One-Parameter Case.

Exponential Family Regression and Diagnostics.

Curvature in Exponential Family Regression.

DIFFERENTIAL-GEOMETRIC METHODS.

Information-Metric Riemannian Geometry.

Statistical Manifolds.

Divergence Functions.

Recent Developments.

Appendices.

References.

Indexes.

Geometrical Foundations of Asymptotic Inference 125 Wiley Series in Probability and Statistics

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    A Hardback by RE Kass, Paul W. Vos

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      View other formats and editions of Geometrical Foundations of Asymptotic Inference 125 Wiley Series in Probability and Statistics by RE Kass

      Publisher: Wiley
      Publication Date: 17/07/1997
      ISBN13: 9780471826682, 978-0471826682
      ISBN10:

      Description

      Book Synopsis
      This book provides a thorough introduction to asymptotic inference. It begins with an elementary treatment of one-parameter statistical models and goes on to discuss basic properties of curved exponential families, the Fisher-Efron-Amari theory and Jeffreys-Rao Riemannian geometry based on Fisher information.

      Trade Review
      "I highly recommend this book to anyone interested in asymptoticinferences." (Statistics & Decisions, Vol.19 No. 3, 2001)

      Table of Contents
      Overview and Preliminaries.

      ONE-PARAMETER CURVED EXPONENTIAL FAMILIES.

      First-Order Asymptotics.

      Second-Order Asymptotics.

      MULTIPARAMETER CURVED EXPONENTIAL FAMILIES.

      Extensions of Results from the One-Parameter Case.

      Exponential Family Regression and Diagnostics.

      Curvature in Exponential Family Regression.

      DIFFERENTIAL-GEOMETRIC METHODS.

      Information-Metric Riemannian Geometry.

      Statistical Manifolds.

      Divergence Functions.

      Recent Developments.

      Appendices.

      References.

      Indexes.

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