NON-UNIFORM ESTIMATES, MODERATE AND LARGE DEVIATIONS IN THE CENTRAL LIMIT-THEOREM FOR META-DEPENDENT RANDOM-VARIABLES

被引：15

作者：

HEINRICH, L

机构：

来源：

MATHEMATISCHE NACHRICHTEN | 1985年 / 121卷

关键词：

D O I：

10.1002/mana.19851210110

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

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页码：107 / 121

页数：15

相关论文

共 23 条

[1]

BABU GJ, 1978, INDIAN J STATISTIC A, V40, P278

[2] CENTRAL LIMIT THEOREM FOR META-DEPENDENT RANDOM-VARIABLES WITH UNBOUNDED META [J].

BERK, KN .

ANNALS OF PROBABILITY, 1973, 1 (02) :352-354

[3]

Bikyalis A., 1966, LITOVSKII MATEM SB, V6, P323

[4] L1 BOUNDS FOR ASYMPTOTIC NORMALITY OF META-DEPENDENT SUMS USING STEINS TECHNIQUE [J].

ERICKSON, RV .

ANNALS OF PROBABILITY, 1974, 2 (03) :522-529

[5]

FUK DK, SIB MATEM ZH, V14, P185

[6] PROBABILITIES OF MODERATE DEVIATIONS FOR SOME STATIONARY PHI-MIXING PROCESSES [J].

GHOSH, M ;

BABU, GJ .

ANNALS OF PROBABILITY, 1977, 5 (02) :222-234

[7] NON-UNIFORM ESTIMATES AND ASYMPTOTIC EXPANSIONS OF THE REMAINDER IN THE CENTRAL LIMIT-THEOREM FOR M-DEPENDENT RANDOM-VARIABLES [J].

HEINRICH, L .

MATHEMATISCHE NACHRICHTEN, 1984, 115 :7-20

[8] SOME ESTIMATES OF THE CUMULANT-GENERATING FUNCTION OF A SUM OF M-DEPENDENT RANDOM VECTORS AND THEIR APPLICATION TO LARGE DEVIATIONS [J].

HEINRICH, L .

MATHEMATISCHE NACHRICHTEN, 1985, 120 :91-101

[9]

HEINRICH L, 1984, MATH NACHR, V118, P253, DOI 10.1002/mana.19841180118

[10] A METHOD FOR THE DERIVATION OF LIMIT-THEOREMS FOR SUMS OF M-DEPENDENT RANDOM-VARIABLES [J].

HEINRICH, L .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1982, 60 (04) :501-515