{"title":"修正的反洛马克斯分布:模型和特性","authors":"Lal Babu Sah Telee, Ram Suresh Yadav, Vijay Kumar","doi":"10.54905/disssi.v59i333.e110d1352","DOIUrl":null,"url":null,"abstract":"Here, a new distribution having three called Modified Inverse Lomax Distribution is proposed. Important statistical properties like the survival, hazard rate, the probability density function (PDF) is studied. Least Square, Cramer-Von Mises and Maximum Likelihood estimation methods are used for estimation of parameters using R programming software. A data set is discussed and performed the goodness-of-fit to assess the application of the proposed distribution. Various methods of model comparison and model validation are also used. The proposed model called Modified Inverse Lomax Distribution is more applicable as compared to some existing probability model.","PeriodicalId":505009,"journal":{"name":"Discovery","volume":"10 4","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Modified Inverse Lomax Distribution: Model and properties\",\"authors\":\"Lal Babu Sah Telee, Ram Suresh Yadav, Vijay Kumar\",\"doi\":\"10.54905/disssi.v59i333.e110d1352\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Here, a new distribution having three called Modified Inverse Lomax Distribution is proposed. Important statistical properties like the survival, hazard rate, the probability density function (PDF) is studied. Least Square, Cramer-Von Mises and Maximum Likelihood estimation methods are used for estimation of parameters using R programming software. A data set is discussed and performed the goodness-of-fit to assess the application of the proposed distribution. Various methods of model comparison and model validation are also used. The proposed model called Modified Inverse Lomax Distribution is more applicable as compared to some existing probability model.\",\"PeriodicalId\":505009,\"journal\":{\"name\":\"Discovery\",\"volume\":\"10 4\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-12-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Discovery\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.54905/disssi.v59i333.e110d1352\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discovery","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54905/disssi.v59i333.e110d1352","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
在此,我们提出了一种新的分布,有三个称为修正的反洛马克斯分布(Modified Inverse Lomax Distribution)。研究了生存率、危险率、概率密度函数(PDF)等重要统计特性。使用 R 编程软件,采用最小平方、Cramer-Von Mises 和最大似然估计方法来估计参数。讨论了一组数据,并对拟合优度进行了测试,以评估拟议分布的应用。还使用了各种模型比较和模型验证方法。与现有的一些概率模型相比,所提出的名为 "修正的逆洛马克斯分布 "的模型更加适用。
Modified Inverse Lomax Distribution: Model and properties
Here, a new distribution having three called Modified Inverse Lomax Distribution is proposed. Important statistical properties like the survival, hazard rate, the probability density function (PDF) is studied. Least Square, Cramer-Von Mises and Maximum Likelihood estimation methods are used for estimation of parameters using R programming software. A data set is discussed and performed the goodness-of-fit to assess the application of the proposed distribution. Various methods of model comparison and model validation are also used. The proposed model called Modified Inverse Lomax Distribution is more applicable as compared to some existing probability model.