Differential-Geometrical Methods in Statistics / by Shun-ichi Amari
(Lecture Notes in Statistics ; 28)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | New York, NY : Springer New York |
| 出版年 | 1985 |
| 本文言語 | 英語 |
| 大きさ | V, 294 p : online resource |
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| 内容注記 | 1. Introduction I. Geometrical Structures of a Family of Probability Distributions 2. Differential Geometry of Statistical Models 3. ?-Divergence and ?-Projection in Statistical Manifold II. Higher-Order Asymptotic Theory of Statistical Inference in Curved Exponential Families 4. Curved Exponential Families and Edgeworth Expansions 5. Asymptotic Theory of Estimation 6. Asymptotic Theory of Tests and Interval Estimators 7. Information, Ancillarity and Conditional Inference 8. Statistical Inference in the Presence of Nuisance Parameters References Subject Indices |
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| 一般注記 | From the reviews: "In this Lecture Note volume the author describes his differential-geometric approach to parametrical statistical problems summarizing the results he had published in a series of papers in the last five years. The author provides a geometric framework for a special class of test and estimation procedures for curved exponential families. ... ... The material and ideas presented in this volume are important and it is recommended to everybody interested in the connection between statistics and geometry ..." #Metrika#1 "More than hundred references are given showing the growing interest in differential geometry with respect to statistics. The book can only strongly be recommended to a geodesist since it offers many new insights into statistics on a familiar ground." #Manuscripta Geodaetica#2 |
| 著者標目 | *Amari, Shun-ichi author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Applied mathematics LCSH:Engineering mathematics FREE:Mathematics FREE:Applications of Mathematics |
| 分 類 | DC23:519 |
| 巻冊次 | ISBN:9781461250562 
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| ISBN | 9781461250562 |
| URL | http://dx.doi.org/10.1007/978-1-4612-5056-2 |
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