DIFFERENTIAL GEOMETRY OF CURVED EXPONENTIAL-FAMILIES - CURVATURES AND INFORMATION LOSS

被引:241
作者
AMARI, SI
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D O I
10.1214/aos/1176345779
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
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页码:357 / 385
页数:29
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共 33 条
[1]  
AKAHIRA M, 1981, LECTURE NOTES STATIS, V7
[2]   NEW LOOK AT STATISTICAL-MODEL IDENTIFICATION [J].
AKAIKE, H .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1974, AC19 (06) :716-723
[3]  
AMARI S, 1982, BIOMETRIKA, V69, P1, DOI 10.1093/biomet/69.1.1
[4]  
AMARI S, 1981, METR817 U TOK TECHN
[5]  
Amari S., 1968, RAAG MEMOIRS, V4, P373
[6]  
[Anonymous], ANN STAT
[7]  
ATKINSON C, 1981, UNPUB SANKHYA A, V43
[8]  
BARNDORFFNIELSE.O, 1978, INFORMATION EXPONENT
[9]   A SYSTEMATIC THEORY OF EXPONENTIAL FAMILIES OF PROBABILITY DISTRIBUTIONS [J].
CHENTSOV, NN .
THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1966, 11 (03) :425-&
[10]  
CHENTSOV NN, 1972, STATISTICAL DECISION