LARGE DEVIATION THEOREMS FOR EMPIRICAL PROBABILITY MEASURES

被引:80
作者
GROENEBOOM, P
OOSTERHOFF, J
RUYMGAART, FH
机构
[1] CATHOLIC UNIV NIJMEGEN,DEPT MATH,NIJMEGEN,NETHERLANDS
[2] FREE UNIV AMSTERDAM,DEPT MATH,AMSTERDAM,NETHERLANDS
关键词
D O I
10.1214/aop/1176994984
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
收藏
页码:553 / 586
页数:34
相关论文
共 27 条
[1]   LARGE DEVIATIONS OF THE SAMPLE MEAN IN GENERAL VECTOR-SPACES [J].
BAHADUR, RR ;
ZABELL, SL .
ANNALS OF PROBABILITY, 1979, 7 (04) :587-621
[2]  
Bahadur RR, 1971, SOME LIMIT THEOREMS
[3]  
BARTFAI P, 1977, PREPRINT MATH I HUNG
[4]   DESCRIPTIVE STATISTICS FOR NONPARAMETRIC MODELS .2. LOCATION [J].
BICKEL, PJ ;
LEHMANN, EL .
ANNALS OF STATISTICS, 1975, 3 (05) :1045-1069
[5]   BOUNDARY-VALUE PROBLEMS FOR RANDOM WALKS AND LARGE DEVIATIONS IN FUNCTION SPACES [J].
BOROVKOV, AA .
THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1967, 12 (04) :575-&
[6]  
BOROVKOV AA, 1962, SIBERIAN MATH J, V3, P645
[7]  
Bourbaki N., 1965, ELEMENTS MATH
[8]   I-DIVERGENCE GEOMETRY OF PROBABILITY DISTRIBUTIONS AND MINIMIZATION PROBLEMS [J].
CSISZAR, I .
ANNALS OF PROBABILITY, 1975, 3 (01) :146-158
[9]  
CSISZAR I, 1962, A MAGYAR TUD AK MAT, V7, P137
[10]   ASYMPTOTIC EVALUATION OF CERTAIN MARKOV PROCESS EXPECTATIONS FOR LARGE TIME .3. [J].
DONSKER, MD ;
VARADHAN, SRS .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1976, 29 (04) :389-461