{"title":"Marshall-Olkin右截断frécet -倒威布尔分布的性质及应用","authors":"Nora Nader, M. El-Damcese, B. El-Desouky","doi":"10.4236/OJMSI.2021.91005","DOIUrl":null,"url":null,"abstract":"In this paper, a new probability distribution is \nproposed by using Marshall and Olkin transformation. Some of its properties \nsuch as moments, moment generating function, order statistics and reliability \nfunctions are derived. The method of maximum \nlikelihood is used to estimate the model parameters. The graphs of the \nreliability function and hazard rate function are plotted by taken some values \nof the parameters. Three real life applications are introduced to compare the \nbehaviour of the new distribution with other distributions.","PeriodicalId":56990,"journal":{"name":"建模与仿真(英文)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The Marshall-Olkin Right Truncated Fréchet-Inverted Weibull Distribution: Its Properties and Applications\",\"authors\":\"Nora Nader, M. El-Damcese, B. El-Desouky\",\"doi\":\"10.4236/OJMSI.2021.91005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a new probability distribution is \\nproposed by using Marshall and Olkin transformation. Some of its properties \\nsuch as moments, moment generating function, order statistics and reliability \\nfunctions are derived. The method of maximum \\nlikelihood is used to estimate the model parameters. The graphs of the \\nreliability function and hazard rate function are plotted by taken some values \\nof the parameters. Three real life applications are introduced to compare the \\nbehaviour of the new distribution with other distributions.\",\"PeriodicalId\":56990,\"journal\":{\"name\":\"建模与仿真(英文)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"建模与仿真(英文)\",\"FirstCategoryId\":\"1093\",\"ListUrlMain\":\"https://doi.org/10.4236/OJMSI.2021.91005\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"建模与仿真(英文)","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.4236/OJMSI.2021.91005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Marshall-Olkin Right Truncated Fréchet-Inverted Weibull Distribution: Its Properties and Applications
In this paper, a new probability distribution is
proposed by using Marshall and Olkin transformation. Some of its properties
such as moments, moment generating function, order statistics and reliability
functions are derived. The method of maximum
likelihood is used to estimate the model parameters. The graphs of the
reliability function and hazard rate function are plotted by taken some values
of the parameters. Three real life applications are introduced to compare the
behaviour of the new distribution with other distributions.
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