Afrika StatistikaPub Date : 1900-01-01DOI: 10.16929/as/2021.2603.176
E. E. Nwezza, F. Ugwuowo
{"title":"The Marshall-Olkin Extended Gumbel-weibull Distribution: Properties And Applications","authors":"E. E. Nwezza, F. Ugwuowo","doi":"10.16929/as/2021.2603.176","DOIUrl":"https://doi.org/10.16929/as/2021.2603.176","url":null,"abstract":"We introduce a new lifetime distribution called Marshall-Olkin extended Gumbel-Weibull. Some properties of distribution such as moments, TL-moments, quantile function, en- tropy, and order statistics are studied. The fexibility of the distribution to model unimodal, monotone shapes as well as unimodal, bimodal, monotone failure rates are presented. The estimators of the parameters of the distribution were obtained using the maximum likeli- hood estimation method. The performance of the maximum likelihood estimates of the Marshall-Olkin extended Gumbel-Weibulll parameters was observed through simulation studies. Two real life applications to illustrate the potentials of the new distribution are presented, and comparison with other distribution having the same baseline is done using goodness-of-test statistics.","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128594993","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Afrika StatistikaPub Date : 1900-01-01DOI: 10.16929/as/2021.2529.172
M. Ahsanullah, Valerie B. Nevzorov
{"title":"On some Inferences of Lévy Distribution","authors":"M. Ahsanullah, Valerie B. Nevzorov","doi":"10.16929/as/2021.2529.172","DOIUrl":"https://doi.org/10.16929/as/2021.2529.172","url":null,"abstract":"The levy distribution is one of the three distributions that has probability density function in simple closed form. This distribution is used in modeling stock prices. In this paper, we present some properties of this distribution. Based on the basic properties some characterizations of this distribution are given.","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114109128","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}