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Statistical decision rules and optimal inference. Transl. from the Russian by the Israel Program for Scientific Translations; ed. by Lev J. Leifman. (English) Zbl 0484.62008
Translations of Mathematical Monographs, 53. Providence, R.I.: American Mathematical Society (AMS). VIII, 499 p. $ 76.00 (1982).

62C05 General considerations in statistical decision theory
62-02 Research exposition (monographs, survey articles) pertaining to statistics
18F99 Categories in geometry and topology
62A01 Foundations and philosophical topics in statistics
53B99 Local differential geometry
53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions
53C99 Global differential geometry
53B20 Local Riemannian geometry