奇Lomax广义指数分布：在工程和新冠肺炎数据中的应用

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-12-04 DOI:10.18187/pjsor.v18i4.4149

L. Sapkota, Vijay Kumar

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引用次数: 4

摘要

本文提出了用于工程和新冠肺炎数据研究的四参数奇Lomax广义指数分布。建立了这种分布的统计和数学性质，如概率密度函数、生存函数、危险率函数、矩、分位数函数、阶统计量、熵、平均偏差、特征函数和平均剩余寿命函数的线性表示。使用最大似然估计（MLE）、最大乘积间距（MPS）、最小二乘估计（LSE）和克雷默-冯-米塞斯估计（CVME）方法来获得所提出分布的参数估计。对MLE进行了蒙特卡罗模拟实验研究。使用与工程和新冠肺炎相关的两个真实数据集来评估所提出的分布的适用性。所有的计算工作都是在R编程软件中完成的。

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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Odd Lomax Generalized Exponential Distribution: Application to Engineering and COVID-19 data

This paper proposes the 4-parameter odd Lomax generalized exponential distribution for the study of engineering and COVID-19 data. The statistical and mathematical properties of this distribution such as a linear representation of the probability density function, survival function, hazard rate function, moments, quantile function, order statistics, entropy, mean deviation, characteristic function, and average residual life function are established. The estimates of parameters of the proposed distribution are obtained using maximum likelihood estimation (MLE), Maximum product spacings (MPS), least-square estimation (LSE), and Cramer-Von-Mises estimation (CVME) methods. A Monte-Carlo simulation experiment is carried out to study the MLEs. The applicability of the proposed distribution is evaluated using two real datasets related to engineering and COVID-19. All the computational work was performed in R programming software.

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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.