The Exponentiated Generalized Alpha Power Family of Distribution: Properties and Applications

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-06-01 DOI:10.18187/pjsor.v18i2.3515

E. Elsherpieny, E. Almetwally

引用次数: 10

Abstract

In this paper, we introduce the exponentiated generalized alpha power family of distributions to extend the several other distributions. We used the new family to discuss the exponentiated generalized alpha power exponential (EGAPEx) distribution. Some statistical properties of the EGAPEx distribution are obtained. The model parameters are obtained by the maximum likelihood estimation (MLE), maximum product spacing (MPS) and Bayesian estimation methods. A Monte Carlo Simulation is performed to compare between different methods. We illustrate the performance of the proposed new family of distributions by means of two real data sets and the data sets show the new family of distributions is more appropriate as compared to the exponentiated generalized exponential, alpha power generalized exponential, alpha power exponential, generalized exponential and exponential distributions.

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分布的指数广义Alpha幂族：性质与应用

在本文中，我们引入了指数广义α幂分布族来扩展其他几种分布。我们使用新的族来讨论指数化的广义α幂指数（EGAPEx）分布。得到了EGAPEx分布的一些统计性质。通过最大似然估计（MLE）、最大乘积间距（MPS）和贝叶斯估计方法获得模型参数。进行蒙特卡罗模拟以比较不同方法。我们通过两个真实数据集说明了所提出的新分布族的性能，数据集表明，与指数广义指数、α幂广义指数、a幂指数、广义指数和指数分布相比，新分布族更合适。

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.