Central limit theorem for random measures generated by stationary processes of compact sets

被引：0

作者：

Pawlas, Z

机构：

[1] Charles Univ, Fac Math & Phys, Dept Probabil & Math Stat, Prague 18675 8, Czech Republic

[2] Acad Sci Czech Republ, Inst Informat Theory & Automat, CR-18208 Prague 8, Czech Republic

来源：

KYBERNETIKA | 2003年 / 39卷 / 06期

关键词：

central limit theorem; fibre process; point process; random measure; space of compact sets;

D O I：

暂无

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

Random measures derived from a stationary process of compact subsets of the Euclidean space are introduced and the corresponding central limit theorem is formulated. The result does not require the Poisson assumption on the process. Approximate confidence intervals for the intensity of the corresponding random measure are-constructed in the case of fibre processes.

引用

页码：719 / 729

页数：11

共 10 条

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[2]

Fritz J., 1970, STUDIA SCI MATH HUNG, V5, P369

[3]

Gnedenko BV., 1996, RANDOM SUMMATION LIM

[4]

Grandell J., 1976, LECT NOTES MATH, V529