I-DIVERGENCE GEOMETRY OF PROBABILITY DISTRIBUTIONS AND MINIMIZATION PROBLEMS

被引：953

作者：

CSISZAR, I ^{[1
]}

机构：

[1] HUNGARIAN ACAD SCI,MATH INST,REALTANODA-U 13-15,1053 BUDAPEST,HUNGARY

来源：

关键词：

D O I：

10.1214/aop/1176996454

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 ;

摘要：

引用

页码：146 / 158

页数：13

共 21 条

[1] Beckenbach E. F., 1961, INEQUALITIES
[2] CSISZAR I, 1964, 3 PRAG C INF THEOR S, P63
[3] Csiszar I., 1967, STUD SCI MATH HUNG, V2, P299
[4] On a least squares adjustment of a sampled frequency table when the expected marginal totals are known
Deming, WE
Stephan, FF
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1940, 11 : 427 - 444
[5] AN ITERATIVE PROCEDURE FOR ESTIMATION IN CONTINGENCY TABLES
FIENBERG, SE
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1970, 41 (03): : 907 - &
[6] MAXIMUM-ENTROPY FOR HYPOTHESIS FORMULATION, ESPECIALLY FOR MULTIDIMENSIONAL CONTINGENCY-TABLES
GOOD, IJ
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1963, 34 (03): : 911 - +
[7] DOUBLY STOCHASTIC OPERATORS OBTAINED FROM POSITIVE OPERATORS
HOBBY, C
PYKE, R
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1965, 15 (01) : 153 - &
[8] INFORMATION THEORY AND STATISTICAL MECHANICS
JAYNES, ET
[J]. PHYSICAL REVIEW, 1957, 106 (04): : 620 - 630
[9] Jeffreys H., 1948, THEORY PROBABILITY, V2nd
[10] KEMPERMAN JHB, 1967, PROBABILITY INFORMAT, P126