Compound Poisson approximation for dissociated random variables via Stein's method

被引：10

作者：

Eichelsbacher, P

Roos, M

机构：

[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

[2] Univ Zurich, ISPM, CH-8006 Zurich, Switzerland

来源：

COMBINATORICS PROBABILITY & COMPUTING | 1999年 / 8卷 / 04期

关键词：

D O I：

10.1017/S0963548399003880

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In the present paper we consider compound Poisson approximation by Stein's method for dissociated random variables. We present some applications to problems in system reliability. In particular, our examples have the structure of an incomplete U-statistics. We mainly apply techniques from Barbour and Utev, who gave new bounds for the solutions of the Stein equation in compound Poisson approximation in two recent papers.

引用

页码：335 / 346

页数：12

共 13 条

[1]

Aldous D., 1989, PROBABILITY APPROXIM

[2]

Arratia R., 1990, STAT SCI, P403, DOI [10.1214/ss/1177012015, DOI 10.1214/SS/1177012015]

[3]

Barbour AD, 1996, NAV RES LOG, V43, P251, DOI 10.1002/(SICI)1520-6750(199603)43:2<251::AID-NAV6>3.0.CO

[4]

2-9

[5] Compound Poisson approximation in total variation [J].

Barbour, AD ;

Utev, S .

STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1999, 82 (01) :89-125

[6] Solving the Stein equation in compound Poisson approximation [J].

Barbour, AD ;

Utev, S .

ADVANCES IN APPLIED PROBABILITY, 1998, 30 (02) :449-475

[7] COMPOUND POISSON APPROXIMATION FOR NONNEGATIVE RANDOM-VARIABLES VIA STEIN METHOD [J].

BARBOUR, AD ;

CHEN, LHY ;

LOH, WL .

ANNALS OF PROBABILITY, 1992, 20 (04) :1843-1866

[8]

BARBOUR AD, 1984, J ROY STAT SOC B MET, V46, P397

[9]

Barbour AD, 1992, Poisson approximation

[10]

Lee AJ, 1990, U STAT THEORY PRACTI

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