8. Statistical Manifolds

  1. Robert E. Kass1 and
  2. Paul W. Vos2

Published Online: 13 SEP 2011

DOI: 10.1002/9781118165980.ch8

Geometrical Foundations of Asymptotic Inference

Geometrical Foundations of Asymptotic Inference

How to Cite

Kass, R. E. and Vos, P. W. (1997) Statistical Manifolds, in Geometrical Foundations of Asymptotic Inference, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118165980.ch8

Author Information

  1. 1

    Department of Statistics, Carnegie Mellon University

  2. 2

    Department of Biostatistics, School of Allied Health Sciences, East Carolina University

Publication History

  1. Published Online: 13 SEP 2011
  2. Published Print: 3 JUL 1997

ISBN Information

Print ISBN: 9780471826682

Online ISBN: 9781118165980

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Keywords:

  • statistical manifolds;
  • non-Riemannian connections;
  • information recovery;
  • efficient estimators;
  • efficient tests

Summary

This chapter contains sections titled:

  • Introduction

  • Non-Riemannian Connections

  • Statistical Manifolds

  • Curvature and Supermanifolds

  • Applications

  • Bibliographical Remarks