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

IF 1.1 Q3 STATISTICS & PROBABILITY

Pakistan Journal of Statistics and Operation 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

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引用次数: 0

摘要

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

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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来源期刊

Pakistan Journal of Statistics and Operation Research STATISTICS & PROBABILITY-

CiteScore

3.30

自引率

26.70%

发文量

期刊介绍： Pakistan Journal of Statistics and Operation Research. PJSOR is a peer-reviewed journal, published four times a year. PJSOR publishes refereed research articles and studies that describe the latest research and developments in the area of statistics, operation research and actuarial statistics.