A Generalized Form of Power Transformation on Exponential Family of Distribution with Properties and Application

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-09-07 DOI:10.18187/pjsor.v18i3.3883

Seema Chettri, Bhanita Das, Imliyangba Imliyangba, P. Hazarika

引用次数: 0

Abstract

In this paper, we proposed a new generalized family of distribution namely new alpha power Exponential (NAPE) distribution based on the new alpha power transformation (NAPT) method by Elbatal et al. (2019). Various statistical properties of the proposed distribution are obtained including moment, incomplete moment, conditional moment, probability weighted moments (PWMs), quantile function, residual and reversed residual lifetime function, stress-strength parameter, entropy and order statistics. The percentage point of NAPE distribution for some specific values of the parameters is also obtained. The method of maximum likelihood estimation (MLE) has been used for estimating the parameters of NAPE distribution. A simulation study has been performed to evaluate and execute the behavior of the estimated parameters for mean square errors (MSEs) and bias. Finally, the efficiency and flexibility of the new proposed model are illustrated by analyzing three real-life data sets.

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指数分布族幂变换的一种广义形式及其性质及应用

本文基于Elbatal et al.(2019)的new alpha power transformation (NAPT)方法，提出了一种新的广义分布族，即new alpha power Exponential (NAPE)分布。得到了该分布的各种统计性质，包括矩、不完全矩、条件矩、概率加权矩、分位数函数、残差和反残差寿命函数、应力-强度参数、熵和阶统计量。还得到了一些具体参数值的NAPE分布的百分比。本文采用极大似然估计(MLE)方法对NAPE分布参数进行估计。进行了模拟研究，以评估和执行均方误差(MSEs)和偏差估计参数的行为。最后，通过对三个实际数据集的分析，说明了该模型的有效性和灵活性。

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.