Mean success run length

被引：9

作者：

Eryilmaz, Serkan ^{[1
]}

机构：

[1] Izmir Univ Econ, Dept Math, Izmir, Turkey

来源：

JOURNAL OF THE KOREAN STATISTICAL SOCIETY | 2009年 / 38卷 / 01期

关键词：

Limiting distribution; Run lengths; Sample mean; Success runs; SEQUENCE; PATTERNS;

D O I：

10.1016/j.jkss.2008.07.002

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：

In this paper we consider mean of success run lengths appearing in a sequence of binary trials. We derive the exact and limiting distributions of mean success run length for i.i.d. Bernoulli trials. The exact distribution of the corresponding random variable is also derived for a sequence of Markov-dependent Bernoulli trials. In addition, a combinatorial formula for the distribution of any success run statistic defined on Markov-dependent trials is presented. (C) 2008 The Korean Statistical Society, Published by Elsevier B.V. All rights reserved.

引用

页码：65 / 71

页数：7

共 15 条

[1]

[Anonymous], 1971, Nonparametric Statistical Inference

[2]

[Anonymous], 1999, Mathematical Statistics

[3] A direct method to obtain the joint distribution of successes, failures and patterns in enumeration problems [J].