The Marshall–Olkin Pareto Type-I Distribution: Properties, Inference under Complete and Censored Samples with Application to Breast Cancer Data

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-12-05 DOI:10.18187/pjsor.v19i4.4317

Maha A. Aldahlan, Abdelhamid M. Rabie, Mostafa Abdelhamid, Abdul Hadi N. Ahmed, A. Afify

引用次数: 0

Abstract

In this paper, we introduce the Marshall–Olkin Pareto type-I (MOPTI) distribution. Structural properties of the MOPTI distribution including the quantile function, mean residual life, and a new theorem for strength-stress measure are introduced. Five methods of estimation for the MOPTI parameters based on complete samples are presented. Furthermore, we explore the estimation of the MOPTI parameters under type-I and type-II censoring. Two Monte Carlo simulation studies are conducted to evaluate the performance of the estimation methods under complete and censored samples. A real-life data set is used to validate the proposed methods.

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马歇尔-奥尔金帕累托 I 型分布：特性、完整样本和剔除样本下的推论以及在乳腺癌数据中的应用

本文引入Marshall-Olkin Pareto type-I (MOPTI)分布。介绍了MOPTI分布的结构特性，包括分位数函数、平均剩余寿命和一个新的强度-应力测量定理。给出了五种基于完全样本的MOPTI参数估计方法。此外，我们还探讨了在i型和ii型审查下MOPTI参数的估计。通过蒙特卡罗模拟研究，对两种估计方法在完全样本和截尾样本下的性能进行了评价。一个真实的数据集被用来验证所提出的方法。

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.