ON LARGE DEVIATIONS OF EMPIRICAL MEASURES IN THE TAU-TOPOLOGY

被引：16

作者：

DEACOSTA, A

机构：

来源：

JOURNAL OF APPLIED PROBABILITY | 1994年 / 31A卷

关键词：

LARGE DEVIATIONS; EMPIRICAL MEASURES; SANOV THEOREM; TAU-TOPOLOGY;

D O I：

10.1017/S0021900200106977

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：

We prove a generalization of Sanov's theorem in which the state space S is arbitrary and the set of probability measures on S is endowed with the tau-topologY.

引用

页码：41 / 47

页数：7

共 9 条

[1]

[Anonymous], 1984, LARGE DEVIATIONS APP

[2]

AZENCOTT R, 1980, LECTURE NOTES MATH, V774

[3] LARGE DEVIATIONS OF THE SAMPLE MEAN IN GENERAL VECTOR-SPACES [J].

BAHADUR, RR ;

ZABELL, SL .

ANNALS OF PROBABILITY, 1979, 7 (04) :587-621

[4]

DEACOSTA A, 1985, LECT NOTES MATH, V1153, P1

[5] 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

[6] LARGE DEVIATION THEOREMS FOR EMPIRICAL PROBABILITY MEASURES [J].

GROENEBOOM, P ;

OOSTERHOFF, J ;

RUYMGAART, FH .

ANNALS OF PROBABILITY, 1979, 7 (04) :553-586

[7]

Meyer P. A., 1966, PROBABILITY POTENTIA

[8]

Sanov IN, 1958, MAT SBORNIK, V42, P11

[9]

[No title captured]

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