The Marshall–Olkin Pareto Type-I Distribution: Properties, Inference under Complete and Censored Samples with Application to Breast Cancer Data
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Published:2023-12-05
Issue:
Volume:
Page:603-622
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ISSN:2220-5810
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Container-title:Pakistan Journal of Statistics and Operation Research
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language:
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Short-container-title:Pak.j.stat.oper.res.
Author:
Aldahlan Maha A.,
Rabie Abdelhamid M.,
Abdelhamid Mostafa,
Ahmed Abdul Hadi N.,
Afify Ahmed Z.ORCID
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.
Publisher
Pakistan Journal of Statistics and Operation Research
Subject
Management Science and Operations Research,Statistics, Probability and Uncertainty,Modeling and Simulation,Statistics and Probability