与独立非同均匀随机变量和有关的狄拉克分布

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY

Brazilian Journal of Probability and Statistics Pub Date : 2021-07-01 DOI:10.1214/20-BJPS484

Youssef Lazar, Bander N. Almutairi

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引用次数: 0

摘要

本文的目的是给出E.G.Olds的一个结果的优雅证明，该结果涉及非同分布的独立一致随机变量之和的密度分布。证明使用了狄拉克分布及其卷积的分析和组合性质。这种方法是新的，可以应用于其他情况。

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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Dirac distributions related to sums of independent nonidentically uniform random variables

The aim of this note is to give an elegant proof of a result due to E. G. Olds which concerns the density distribution of the sum of independent uniform random variables non-identically distributed. The proof uses both analytical and combinatorial properties of Dirac distributions and their convolutions. The method is new and can apply to other situations.

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来源期刊

Brazilian Journal of Probability and Statistics STATISTICS & PROBABILITY-

CiteScore

1.60

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Brazilian Journal of Probability and Statistics aims to publish high quality research papers in applied probability, applied statistics, computational statistics, mathematical statistics, probability theory and stochastic processes. More specifically, the following types of contributions will be considered: (i) Original articles dealing with methodological developments, comparison of competing techniques or their computational aspects. (ii) Original articles developing theoretical results. (iii) Articles that contain novel applications of existing methodologies to practical problems. For these papers the focus is in the importance and originality of the applied problem, as well as, applications of the best available methodologies to solve it. (iv) Survey articles containing a thorough coverage of topics of broad interest to probability and statistics. The journal will occasionally publish book reviews, invited papers and essays on the teaching of statistics.