Characterization and Goodness-of-Fit Test of Pareto and Some Related Distributions Based on Near-Order Statistics

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-07-15 DOI:10.1155/2020/4262574

M. Akbari

引用次数: 2

Abstract

In this paper, a new definition of the number of observations near the th order statistics is developed. Then some characterization results for Pareto and some related distributions are established in terms of mass probability function, first moment of these new counting random variables, and using completeness properties of the sequence of functions . Finally, new goodness-of-fit tests based on these new characterizations for Pareto distribution are presented. And the power values of the proposed tests are compared with the power values of well-known tests such as Kolmogorovâ€“Smirnov and Cramer-von Mises tests by Monte Carlo simulations.

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基于近阶统计量的Pareto及其相关分布的拟合优性检验

在本文中，提出了一个新的定义，接近于一阶统计量的观测次数。然后根据质量概率函数、这些新的计数随机变量的一阶矩以及函数序列的完备性，建立了Pareto和一些相关分布的一些表征结果。最后，基于帕累托分布的这些新特征，提出了新的拟合优度检验。通过蒙特卡洛模拟，将所提出的测试的功率值与著名测试的功率值相比较，如Kolmogorov“Smirnov”和Cramer von Mises测试。

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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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.