Limiting Distributions in Sequential Occupancy Problem

Andrew L. Rukhin

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Limiting Distributions in Sequential Occupancy Problem

机译：顺序占用问题中的极限分布

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摘要

In a general sequential allocation scheme the limiting distribution of the instant at which a treatment receives the given number of subjects is derived. Classical occupancy problems, in particular, the Banach match-box problem and the birthday problem are shown to be closely related and are discussed.

机译：在一般的顺序分配方案中，得出治疗接收给定数目的对象的瞬间的极限分布。古典占用问题，特别是Banach火柴盒问题和生日问题，被显示为密切相关并进行了讨论。

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来源
《Sequential analysis》 |2004年第1期|p.141-158|共18页
作者
Andrew L. Rukhin;
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作者单位

University of Maryland, Baltimore County Campus, 1000 Hilltop Circle, Baltimore, MD 21250, USA;

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原文格式 PDF
正文语种 eng
中图分类统计学;
关键词
banach match-box problem; birthday problem; combinatorial extreme-value theory; load balancing; multinomial trials; poisson approximation; probability generating function; skew-normal distribution;

机译：banach匹配盒问题;生日问题;组合极值理论;负载均衡;多项式试验;泊松近似;概率生成函数;偏正态分布;

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8. The Limiting Distribution of the Sample Occupancy Numbers from the Multinomial Distribution with Equal Cell Probabilities [R] . Harris, B., Park, C. J. 1968

机译：具有等单元概率的多项分布的样本占有数的极限分布

Limiting Distributions in Sequential Occupancy Problem

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