{"title":"改进的原木毛刺分布","authors":"F. Bhatti, G. Hamedani, M. Ahmad","doi":"10.29252/JIRSS.17.2.5","DOIUrl":null,"url":null,"abstract":"In this paper, we present a modified Log Burr XII (MLBXII) distribution developed on the basis of a generalized log Pearson differential equation. This distribution is also obtained from a compounding mixture of distributions. Moments, inequality measures, uncertainty measures and reliability measures are theoretically established. Characterizations of MLBXII distribution are also studied via different techniques. Parameters of MLBXII distribution are estimated using the maximum likelihood method. Goodness of fit of this distribution through different methods is studied.","PeriodicalId":42965,"journal":{"name":"JIRSS-Journal of the Iranian Statistical Society","volume":"1 1","pages":""},"PeriodicalIF":0.1000,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"On Modified Log Burr XII Distribution\",\"authors\":\"F. Bhatti, G. Hamedani, M. Ahmad\",\"doi\":\"10.29252/JIRSS.17.2.5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we present a modified Log Burr XII (MLBXII) distribution developed on the basis of a generalized log Pearson differential equation. This distribution is also obtained from a compounding mixture of distributions. Moments, inequality measures, uncertainty measures and reliability measures are theoretically established. Characterizations of MLBXII distribution are also studied via different techniques. Parameters of MLBXII distribution are estimated using the maximum likelihood method. Goodness of fit of this distribution through different methods is studied.\",\"PeriodicalId\":42965,\"journal\":{\"name\":\"JIRSS-Journal of the Iranian Statistical Society\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2018-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"JIRSS-Journal of the Iranian Statistical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.29252/JIRSS.17.2.5\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"JIRSS-Journal of the Iranian Statistical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29252/JIRSS.17.2.5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 6
摘要
在本文中,我们提出了一个改进的Log Burr XII (MLBXII)分布,该分布是在广义对数皮尔逊微分方程的基础上发展起来的。这种分布也可以从分布的复合混合物中得到。从理论上建立了矩量、不等式测度、不确定性测度和可靠性测度。通过不同的技术研究了MLBXII的分布特征。采用极大似然法估计MLBXII分布的参数。通过不同的方法研究了该分布的拟合优度。
In this paper, we present a modified Log Burr XII (MLBXII) distribution developed on the basis of a generalized log Pearson differential equation. This distribution is also obtained from a compounding mixture of distributions. Moments, inequality measures, uncertainty measures and reliability measures are theoretically established. Characterizations of MLBXII distribution are also studied via different techniques. Parameters of MLBXII distribution are estimated using the maximum likelihood method. Goodness of fit of this distribution through different methods is studied.