{"title":"Type II Topp-Leone exponentiated gamma distribution with application to breaking stress data","authors":"","doi":"10.1016/j.jrras.2024.101045","DOIUrl":null,"url":null,"abstract":"<div><p>This study introduces a novel three-parameter time distribution called Type II Topp-Leone exponentiated gamma (TIITL-EG) distribution. This new model offers excellent flexibility in handling skewed data. We analyze various mathematical properties such as ordinary moments, moment-generating functions, and conditional moments. Mean residual life, different entropy measures, and order statistics are computed. Model parameters are estimated using the maximum likelihood method. Finally, we demonstrate the use of this model through real data application, highlighting its versatility.</p></div>","PeriodicalId":16920,"journal":{"name":"Journal of Radiation Research and Applied Sciences","volume":null,"pages":null},"PeriodicalIF":1.7000,"publicationDate":"2024-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1687850724002292/pdfft?md5=5fe4abc034fa5c9deb13d31ccc118e9c&pid=1-s2.0-S1687850724002292-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Radiation Research and Applied Sciences","FirstCategoryId":"103","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1687850724002292","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
引用次数: 0
Abstract
This study introduces a novel three-parameter time distribution called Type II Topp-Leone exponentiated gamma (TIITL-EG) distribution. This new model offers excellent flexibility in handling skewed data. We analyze various mathematical properties such as ordinary moments, moment-generating functions, and conditional moments. Mean residual life, different entropy measures, and order statistics are computed. Model parameters are estimated using the maximum likelihood method. Finally, we demonstrate the use of this model through real data application, highlighting its versatility.
本研究介绍了一种新颖的三参数时间分布，称为 II 型 Topp-Leone 指数化伽马分布（TIITL-EG）。这种新模型在处理偏斜数据方面具有出色的灵活性。我们分析了各种数学特性，如普通矩、矩生成函数和条件矩。我们计算了平均残差寿命、不同的熵度量和阶次统计量。使用最大似然法估算模型参数。最后，我们通过实际数据应用演示了该模型的使用，突出了其多功能性。
期刊介绍：
Journal of Radiation Research and Applied Sciences provides a high quality medium for the publication of substantial, original and scientific and technological papers on the development and applications of nuclear, radiation and isotopes in biology, medicine, drugs, biochemistry, microbiology, agriculture, entomology, food technology, chemistry, physics, solid states, engineering, environmental and applied sciences.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
