{"title":"广义熵损失函数下毛刺III型分布的贝叶斯移位点估计","authors":"U. Srivastava, H. Kumar","doi":"10.37622/gjpam/18.2.2022.465-477","DOIUrl":null,"url":null,"abstract":"This paper considers a mean shift with an unknown shift point in a process Burr type III sequence and estimates the unknown shift point (change point) by the method of Bayesian Estimation Procedure. Pre-shift and post-shift means are estimated concurrently with the change point. When the underlying process overestimate or underestimate the mean shift in process we use asymmetric Loss function as General entropy Loss Function in order to estimate the mean shift. A Simulation Study is done by using R software.","PeriodicalId":198465,"journal":{"name":"Global Journal of Pure and Applied Mathematics","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bayesian Shift Point Estimation of Burr Type III Distribution under General Entropy Loss Function\",\"authors\":\"U. Srivastava, H. Kumar\",\"doi\":\"10.37622/gjpam/18.2.2022.465-477\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper considers a mean shift with an unknown shift point in a process Burr type III sequence and estimates the unknown shift point (change point) by the method of Bayesian Estimation Procedure. Pre-shift and post-shift means are estimated concurrently with the change point. When the underlying process overestimate or underestimate the mean shift in process we use asymmetric Loss function as General entropy Loss Function in order to estimate the mean shift. A Simulation Study is done by using R software.\",\"PeriodicalId\":198465,\"journal\":{\"name\":\"Global Journal of Pure and Applied Mathematics\",\"volume\":\"35 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Global Journal of Pure and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37622/gjpam/18.2.2022.465-477\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Global Journal of Pure and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37622/gjpam/18.2.2022.465-477","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Bayesian Shift Point Estimation of Burr Type III Distribution under General Entropy Loss Function
This paper considers a mean shift with an unknown shift point in a process Burr type III sequence and estimates the unknown shift point (change point) by the method of Bayesian Estimation Procedure. Pre-shift and post-shift means are estimated concurrently with the change point. When the underlying process overestimate or underestimate the mean shift in process we use asymmetric Loss function as General entropy Loss Function in order to estimate the mean shift. A Simulation Study is done by using R software.