Geodesic
Invariant loss functions in problems of mathematical statistics
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 22 (1967) no. 1 Cet article a éte moissonné depuis la source Math-Net.Ru

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     title = {Invariant loss functions in problems of mathematical statistics},
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     url = {http://geodesic.mathdoc.fr/item/RM_1967_22_1_a16/}
}
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N. N. Chentsov. Invariant loss functions in problems of mathematical statistics. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 22 (1967) no. 1. http://geodesic.mathdoc.fr/item/RM_1967_22_1_a16/

[1] N. N. Chentsov, “Kategorii matematicheskoi statistiki”, UMN, 20:4 (1965), 194–195

[2] N. N. Chentsov, “Kategorii matematicheskoi statistiki”, DAN, 164:3 (1965), 511–514

[3] N. Morse, R. Sacksteder, “Statistical isomorphism”, Ann. Math. Statistics, 37:1 (1966), 203–214 | DOI | MR | Zbl

[4] S. Kullback, Information Theory and Statistics, J. Wiley and Sons Inc., New York, 1959 | MR | Zbl

[5] I. N. Sanov, “O veroyatnosti bolshikh uklonenii sluchainykh velichin”, Matem. sb., 42:1 (1957), 11–44 | MR | Zbl

[6] N. N. Chentsov, “Geometriya «mnogoobraziya» raspredelenii veroyatnostei”, DAN, 158:3 (1964), 543–546

[7] S. Kullback, “Certain inequalities in information theory and the Cramér-Rao inequality”, Ann. Math. Statistics, 25 (1954), 745–751 | DOI | MR | Zbl

[8] V. P. Kozlov, “Emkost mnozhestva v prostranstve signalov i rimanova metrika”, DAN, 166:4 (1966), 779–782 | MR | Zbl

[9] V. M. Tikhomirov, “Poperechniki mnozhestv v funktsionalnykh prostranstvakh i teoriya nailuchshikh priblizhenii”, UMN, 15:3 (1960), 81–120 | MR | Zbl

[10] N. N. Chentsov, “Otsenka neizvestnoi plotnosti raspredeleniya po nablyudeniyam”, DAN, 147:1 (1962), 45–48 | MR | Zbl