Asymptotically efficient estimators for algebraic statistical manifolds

Kei Kobayashi, Henry P. Wynn

研究成果: Conference contribution

1 被引用数 (Scopus)

抄録

A strong link between information geometry and algebraic statistics is made by investigating statistical manifolds which are algebraic varieties. In particular it it shown how first and second order efficiency estimators can be constructed, such as bias corrected Maximum Likelihood Estimators and more general estimators, but for which the estimating equations are purely algebraic. In addition it is shown how Gröbner basis technology, which is at the heart of algebraic statistics, can be used to reduce the degrees of the terms in the estimating equations. This points the way to the feasible use, to find the estimators, of special methods for solving polynomial equations, such are homotopy methods.

本文言語English
ホスト出版物のタイトルGeometric Science of Information - First International Conference, GSI 2013, Proceedings
ページ721-728
ページ数8
DOI
出版ステータスPublished - 2013
外部発表はい
イベント1st International SEE Conference on Geometric Science of Information, GSI 2013 - Paris, France
継続期間: 2013 8月 282013 8月 30

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
8085 LNCS
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

Other

Other1st International SEE Conference on Geometric Science of Information, GSI 2013
国/地域France
CityParis
Period13/8/2813/8/30

ASJC Scopus subject areas

  • 理論的コンピュータサイエンス
  • コンピュータサイエンス一般

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