{"title":"Transmuted Kumaraswamy Weibull Distribution with Covariates Regression Modelling to Analyze Reliability Data","authors":"Muhammad Shuaib Khan, R. King, I. Hudson","doi":"10.2991/jsta.d.201016.003","DOIUrl":null,"url":null,"abstract":"This paper investigates the potential usefulness of the transmuted Kumaraswamy Weibull distribution by using quadratic rank transmutationmap technique formodelling reliability data. Some structural properties of the transmutedKumaraswamyWeibull distribution are discussed. We propose a location-scale regression model based on the transmuted log-Kumaraswamy Weibull distribution for modelling survival data. We discuss estimation of the model parameters by the method of maximum likelihood and provide two applications to illustrate the potentiality of the proposed family of lifetime distributions.","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":"17 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Statistical Theory and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2991/jsta.d.201016.003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 1
Abstract
This paper investigates the potential usefulness of the transmuted Kumaraswamy Weibull distribution by using quadratic rank transmutationmap technique formodelling reliability data. Some structural properties of the transmutedKumaraswamyWeibull distribution are discussed. We propose a location-scale regression model based on the transmuted log-Kumaraswamy Weibull distribution for modelling survival data. We discuss estimation of the model parameters by the method of maximum likelihood and provide two applications to illustrate the potentiality of the proposed family of lifetime distributions.