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Statistical Decision Rules and Optimal Inference

About this Title

N. N. Čencov. Translated by Israel Program for Scientific Translations

Publication: Translations of Mathematical Monographs
Publication Year: 1981; Volume 53
ISBNs: 978-0-8218-1347-8 (print); 978-1-4704-4467-9 (online)
DOI: https://doi.org/10.1090/mmono/053
MathSciNet review: MR645898
MSC: Primary 62-02; Secondary 62C05

Table of Contents

Front/Back Matter

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Chapters

• Introduction
• The formal decision problem
• Equivariant differential geometry of a collection of probability distributions
• Smooth families of probability distributions and the information inequality
• Geometry of exponent families of probability distributions
• Optimal decision rules in the equivariant problem of point estimation
• Appendix

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