多项式分布的改进与应用

arXiv - MATH - Probability Pub Date : 2024-09-09 DOI:arxiv-2409.05788

Andrew V. Sills

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引用次数: 0

摘要

本文介绍了多叉分布的一种细化方法，即对结果序列中的反转次数进行统计。这种对多叉分布的改进是其与伴随实验中的反转次数的联合分布。本文介绍了这一额外信息的应用，其中反转次数可作为结果序列中同质性（或缺乏同质性）的替代测量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A refinement of the multinomial distribution with application

A refinement of the multinomial distribution is presented where the number of inversions in the sequence of outcomes is tallied. This refinement of the multinomial distribution is its joint distribution with the number of inversions in the accompanying experiment. An application of this additional information is described in which the number of inversions acts as a proxy measure of homogeneity (or lack thereof) in the sequence of outcomes.

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arXiv - MATH - Probability

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