Marshall-Olkin幂广义威布尔分布及其在工程和医学上的应用

IF 1 Q3 Mathematics

Journal of Statistical Theory and Applications Pub Date : 2020-05-01 DOI:10.2991/jsta.d.200507.004

A. Afify, D. Kumar, I. Elbatal

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引用次数: 12

摘要

本文提出了一种新的柔性四参数模型Marshall - Olkin power广义Weibull (MOPGW)分布，该分布提供对称、倒j形、左偏和右偏密度，以及浴缸、单峰、increas-ing,不变,减少,Jshaped、andreversed-Jshapedhazardrates.SomeoftheMOPGWstructuralpropertiesarediscussed.ThemaximumlikelihoodisutilizedtoestimatetheMOPGWunknownparameters.Simulationresultsareprovidedtoassesstheperformanceofthemaximumlikelihoodmethod.Finally weillustratetheimportanceoftheMOPGWmodel, comparedwithsomerivalmodels viatworealdataapplicationsfromtheengineeringandmedicinefields。

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Marshall–Olkin Power Generalized Weibull Distribution with Applications in Engineering and Medicine

This paper proposes a new flexible four-parameter model called Marshall – Olkin power generalized Weibull (MOPGW) distribution which provides symmetrical, reversed-J shaped, left-skewed and right-skewed densities, and bathtub, unimodal, increas-ing,constant,decreasing,Jshaped,andreversed-Jshapedhazardrates.SomeoftheMOPGWstructuralpropertiesarediscussed.ThemaximumlikelihoodisutilizedtoestimatetheMOPGWunknownparameters.Simulationresultsareprovidedtoassesstheperformanceofthemaximumlikelihoodmethod.Finally,weillustratetheimportanceoftheMOPGWmodel,comparedwithsomerivalmodels,viatworealdataapplicationsfromtheengineeringandmedicinefields.

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来源期刊

Journal of Statistical Theory and Applications STATISTICS & PROBABILITY-

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

13 weeks