Joint Distributions of Numbers of Success-Runs and Failures Until the First Consecutive k Successes in a Binary Sequence

被引：0

作者：

N. Balakrishnan

机构：

[1] McMaster University,Department of Mathematics and Statistics

来源：

Annals of the Institute of Statistical Mathematics | 1997年 / 49卷

关键词：

Probability generating function; waiting time; binary sequence of order k; geometric distribution of order k;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Joint distributions of the numbers of failures, successes andsuccess-runs of length less than k until the first consecutive k successesin a binary sequence were derived recently by Aki and Hirano (1995, Ann.Inst. Statist. Math., 47, 225-235). In this paper, we present an alternatederivation of these results and also use this approach to establish someadditional results. Extensions of these results to binary sequences of orderh are also presented.

引用

页码：519 / 529

页数：10

共 17 条

[1]

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[2]

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[3]

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[4]

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[5]

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[6]

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[10]

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