A COLLECTOR'S PROBLEM WITH RENEWAL ARRIVAL PROCESSES

被引：3

作者：

Kella, Offer ^{[1
]}

Stadje, Wolfgang ^{[2
]}

机构：

[1] Hebrew Univ Jerusalem, Dept Stat, IL-91905 Jerusalem, Israel

[2] Univ Osnabruck, Dept Math & Comp Sci, D-49069 Osnabruck, Germany

来源：

JOURNAL OF APPLIED PROBABILITY | 2008年 / 45卷 / 03期

基金：

以色列科学基金会;

关键词：

Collector's problem; complete set; renewal processes; superposition; asymptotic distribution; mixture;

D O I：

10.1239/jap/1222441817

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 study a collector's problem with K renewal arrival processes for different type items, where the objective is to collect complete sets. In particular, we derive the asymptotic distribution of the sequence of interarrival times between set completions.

引用

页码：610 / 620

页数：11

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