{"title":"论传统 I 类和 II 类删减下的莫迪指数分布","authors":"Harshita Kumawat, Pankaj Nagar","doi":"10.59467/ijass.2024.20.97","DOIUrl":null,"url":null,"abstract":"In this article, a new Modi-Exponential distribution is considered under Type-I and Type-II censoring. Some statistical and reliability characteristics of the distribution are specified. Statistical inferences of the Modi-Exponential parameters based on Type-I and Type-II censored data are discussed. The maximum likelihood estimation method is used for estimation of unknown parameters along with reliability characteristics. Asymptotic confidence intervals are also obtained for interval estimation. Monte-Carlo Simulation study is performed to study the performances of estimators. Further, two real data sets are provided to illustrate the results.. KEYWORDS :Censoring, Maximum likelihood estimation, Confidence bounds, Simulation.","PeriodicalId":50344,"journal":{"name":"International Journal of Agricultural and Statistical Sciences","volume":"95 2","pages":""},"PeriodicalIF":0.1000,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Modi-Exponential Distribution under Conventional Type-I and Type-II Censoring\",\"authors\":\"Harshita Kumawat, Pankaj Nagar\",\"doi\":\"10.59467/ijass.2024.20.97\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, a new Modi-Exponential distribution is considered under Type-I and Type-II censoring. Some statistical and reliability characteristics of the distribution are specified. Statistical inferences of the Modi-Exponential parameters based on Type-I and Type-II censored data are discussed. The maximum likelihood estimation method is used for estimation of unknown parameters along with reliability characteristics. Asymptotic confidence intervals are also obtained for interval estimation. Monte-Carlo Simulation study is performed to study the performances of estimators. Further, two real data sets are provided to illustrate the results.. KEYWORDS :Censoring, Maximum likelihood estimation, Confidence bounds, Simulation.\",\"PeriodicalId\":50344,\"journal\":{\"name\":\"International Journal of Agricultural and Statistical Sciences\",\"volume\":\"95 2\",\"pages\":\"\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2024-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Agricultural and Statistical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.59467/ijass.2024.20.97\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"AGRICULTURE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Agricultural and Statistical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.59467/ijass.2024.20.97","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"AGRICULTURE, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
摘要
本文考虑了在第一类和第二类普查条件下的一种新的莫迪指数分布。明确了该分布的一些统计和可靠性特征。讨论了基于 I 类和 II 类剔除数据的 Modi-Exponential 参数的统计推断。最大似然估计法用于估计未知参数和可靠性特征。还获得了区间估计的渐近置信区间。为研究估计器的性能,还进行了蒙特卡洛模拟研究。此外,还提供了两个真实数据集来说明结果。关键词 :删减 最大似然估计 置信限 仿真
On Modi-Exponential Distribution under Conventional Type-I and Type-II Censoring
In this article, a new Modi-Exponential distribution is considered under Type-I and Type-II censoring. Some statistical and reliability characteristics of the distribution are specified. Statistical inferences of the Modi-Exponential parameters based on Type-I and Type-II censored data are discussed. The maximum likelihood estimation method is used for estimation of unknown parameters along with reliability characteristics. Asymptotic confidence intervals are also obtained for interval estimation. Monte-Carlo Simulation study is performed to study the performances of estimators. Further, two real data sets are provided to illustrate the results.. KEYWORDS :Censoring, Maximum likelihood estimation, Confidence bounds, Simulation.