巧合问题的广义匹配分布

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-12-14 DOI:10.1007/s11009-023-10067-6

Ben O’Neill

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引用次数: 0

摘要

本文研究了“巧合问题”中出现的经典匹配分布。我们将经典匹配分布推广为初始分配，其中项目以一定的固定概率正确匹配，剩余的不匹配项目使用简单随机抽样而不替换进行分配。我们的广义匹配分布是经典匹配分布与二项分布的卷积。我们考察后一种分布的性质，并说明如何计算它的概率函数。我们还展示了如何使用分布进行匹配测试和匹配能力的推断。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

A Generalised Matching Distribution for the Problem of Coincidences

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A Generalised Matching Distribution for the Problem of Coincidences

This paper examines the classical matching distribution arising in the “problem of coincidences”. We generalise the classical matching distribution with a preliminary round of allocation where items are correctly matched with some fixed probability, and remaining non-matched items are allocated using simple random sampling without replacement. Our generalised matching distribution is a convolution of the classical matching distribution and the binomial distribution. We examine the properties of this latter distribution and show how its probability functions can be computed. We also show how to use the distribution for matching tests and inferences of matching ability.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.