{"title":"A New Weighted Topp-Leone Family of Distributions","authors":"Gorgees Shaheed","doi":"10.19139/soic-2310-5070-1514","DOIUrl":null,"url":null,"abstract":"Based on T-X transform due to Alzaatreh et al. (2013), we propose the new weighted Topp-Leone (NWTL-Π) continuous statistical distributions with two extra shpae parameters .Then we study some basic mathematical properties. Then we study Uniform model as member of the new class with more details. Using a simulation study, we compared some methods of estimation. Finally we analyzed and used lifetime and failure time real data sets to illustrate the purposes.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"176 23","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistics, Optimization & Information Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.19139/soic-2310-5070-1514","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Based on T-X transform due to Alzaatreh et al. (2013), we propose the new weighted Topp-Leone (NWTL-Π) continuous statistical distributions with two extra shpae parameters .Then we study some basic mathematical properties. Then we study Uniform model as member of the new class with more details. Using a simulation study, we compared some methods of estimation. Finally we analyzed and used lifetime and failure time real data sets to illustrate the purposes.
基于Alzaatreh et al.(2013)的T-X变换，我们提出了带有两个额外形状参数的新的加权Topp-Leone (NWTL-Π)连续统计分布，并研究了一些基本的数学性质。然后，我们作为新类的一员对统一模型进行了更详细的研究。通过仿真研究，对几种估计方法进行了比较。最后，我们用寿命和故障时间的实际数据集来分析和说明目的。
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