Kethamile Rannona, B. Oluyede, Simbarashe Chamunorwa
{"title":"The Gompertz-Topp Leone-G Family of Distributions with Applications","authors":"Kethamile Rannona, B. Oluyede, Simbarashe Chamunorwa","doi":"10.37119/jpss2022.v20i1.630","DOIUrl":null,"url":null,"abstract":"We introduce a new family of distributions, referred to as the Gompertz-Topp-Leone-G (Gom-TL-G) distribution. The new family of distributions can be expressed as an infinite linear combination of the Exp-G distributions. It can handle extremely tailed data and has both monotonic and non-monotonic hazard rate functions. A simulation study is used to assess the estimation method. Some real data examples are analyzed for illustrative purposes.","PeriodicalId":161562,"journal":{"name":"Journal of Probability and Statistical Science","volume":"111 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Probability and Statistical Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37119/jpss2022.v20i1.630","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
We introduce a new family of distributions, referred to as the Gompertz-Topp-Leone-G (Gom-TL-G) distribution. The new family of distributions can be expressed as an infinite linear combination of the Exp-G distributions. It can handle extremely tailed data and has both monotonic and non-monotonic hazard rate functions. A simulation study is used to assess the estimation method. Some real data examples are analyzed for illustrative purposes.