Differential geometry of edgeworth expansions in curved exponential family-Reference-Cited by-同舟云学术

Differential geometry of edgeworth expansions in curved exponential family

Published:1983-12 Issue:1 Volume:35 Page:1-24
ISSN:0020-3157
Container-title:Annals of the Institute of Statistical Mathematics
language:en
Short-container-title:Ann Inst Stat Math

Author:

Amari Shun-ichi,Kumon Masayuki

Publisher

Springer Science and Business Media LLC

Subject

Statistics and Probability

Link

http://link.springer.com/content/pdf/10.1007/BF02480959.pdf

Reference19 articles.

1. Akahira, M. and Takeuchi, K. (1981). Asymptotic efficiency of statistical estimators: Concepts and higher order asymptotic efficiency,Lecture Notes in Statistics, No. 7, Springer.

2. Amari, S. (1968). Theory of information spaces—a geometrical foundation of the analysis of communication systems.RAAG Memoirs (ed. K. Kondo), Gakujutsu Bunken Fukyukai, Tokyo,4, F-X, 378–418.

3. Amari, S. (1980). Theory of information space: A differential-geometrical foundation of statistics,Post-RAAG Reports, 106.

4. Amari, S. (1982). Differential geometry of curved exponential families—curvatures and information loss,Ann. Statist.,10, 357–385.

5. Amari, S. (1982). Geometrical theory of asymptotic ancillarity and conditional inference,Biometrika,69, 1–17.

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