{"title":"On a flexible class of asymmetric mixture normal distribution and its applications","authors":"C. Satheesh Kumar, G. V. Anila","doi":"10.1515/rose-2022-2092","DOIUrl":null,"url":null,"abstract":"Abstract Here we consider a more flexible class of asymmetric mixture normal distribution and investigate some of its important statistical properties. We define its location-scale extension and discuss the method of maximum likelihood for estimating its parameters. Two real life data sets are considered for illustrating the usefulness of the model. Further, a simulation study is carried out for examining the efficiency of maximum likelihood estimators of the parameters of the distribution.","PeriodicalId":43421,"journal":{"name":"Random Operators and Stochastic Equations","volume":"31 1","pages":"1 - 8"},"PeriodicalIF":0.3000,"publicationDate":"2023-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Random Operators and Stochastic Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/rose-2022-2092","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
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Abstract
Abstract Here we consider a more flexible class of asymmetric mixture normal distribution and investigate some of its important statistical properties. We define its location-scale extension and discuss the method of maximum likelihood for estimating its parameters. Two real life data sets are considered for illustrating the usefulness of the model. Further, a simulation study is carried out for examining the efficiency of maximum likelihood estimators of the parameters of the distribution.
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