LIMIT-THEOREMS FOR STRONGLY MIXING STATIONARY RANDOM MEASURES

被引：10

作者：

LEADBETTER, MR ^{[1
]}

HSING, T ^{[1
]}

机构：

[1] TEXAS A&M UNIV SYST,DEPT STAT,COLLEGE STN,TX 77843

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 1990年 / 36卷 / 02期

关键词：

D O I：

10.1016/0304-4149(90)90093-8

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：

Characterization theorems are obtained for the possible limits in distribution of a family of stationary random measures {zeta-T} satisfying a strong mixing condition, with necessary and sufficient conditions for convergence. The application of these results to `exceedance random measures' is shown to provide a unifying viewpoint for obtaining results in extremal theory for stationary processes.

引用

页码：231 / 243

页数：13

共 8 条

[1] SOJOURNS AND EXTREMES OF STATIONARY-PROCESSES [J].

BERMAN, SM .

ANNALS OF PROBABILITY, 1982, 10 (01) :1-46

[2]

Cramer H., 1967, STATIONARY RELATED S

[3] ON THE EXTREME ORDER-STATISTICS FOR A STATIONARY SEQUENCE [J].

HSING, T .

STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1988, 29 (01) :155-169

[4] ON THE EXCEEDANCE POINT PROCESS FOR A STATIONARY SEQUENCE [J].

HSING, T ;

HUSLER, J ;

LEADBETTER, MR .

PROBABILITY THEORY AND RELATED FIELDS, 1988, 78 (01) :97-112

[5]

Kallenberg O., 1976, RANDOM MEASURES

[6] EXTREMES AND LOCAL DEPENDENCE IN STATIONARY-SEQUENCES [J].

LEADBETTER, MR .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1983, 65 (02) :291-306

[7]

LEADBETTER MR, 1983, SPRINGER SER STATIST

[8]

VOLKONSKI AA, 1958, THEORY PROBAB APPL, V4, P178

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