Distribution of runs in a sequence of exchangeable multi-state trials

被引：15

作者：

Eryilmaz, Serkan ^{[1
]}

机构：

[1] Izmir Univ Econ, Grad Sch Nat & Appl Sci, Div Appl Stat, TR-35330 Izmir, Turkey

来源：

STATISTICS & PROBABILITY LETTERS | 2008年 / 78卷 / 12期

关键词：

D O I：

10.1016/j.spl.2008.01.002

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：

Let {X-i}(i >= 1) be a all infinite sequence of exchangeable multi-state trials with in (m >= 2) possible values. The exact distributions of runs, particularly the total number of runs, longest and shortest runs, in (X-i)(i >= l) are derived. Applications associated with multi-color Polya urn sampling scheme and statistical process control are also provided. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：1505 / 1513

页数：9

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