Rana Hasan Shamkhi, Wisam Kamil Ghafil, A. A. Jaaze
{"title":"基于右截法的Pareto分布参数估计","authors":"Rana Hasan Shamkhi, Wisam Kamil Ghafil, A. A. Jaaze","doi":"10.22075/IJNAA.2022.5819","DOIUrl":null,"url":null,"abstract":"In this paper, we found the estimation of the unknown parameter $delta$ when $vartheta$ is a known parameter in the Pareto distribution. First, we get the maximum probability estimators(MLEs) for unknown parameters. We have obtained the Bayes Estimators of unknown parameter $delta$ using Lindley's approximation. A Monte Carlo simulation is performed and used a programming language R to compare the performance of the method used, and the data set was analyzed for illustration purposes.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"40 1","pages":"1873-1877"},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Estimation of parameter for the Pareto distribution based on right censoring\",\"authors\":\"Rana Hasan Shamkhi, Wisam Kamil Ghafil, A. A. Jaaze\",\"doi\":\"10.22075/IJNAA.2022.5819\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we found the estimation of the unknown parameter $delta$ when $vartheta$ is a known parameter in the Pareto distribution. First, we get the maximum probability estimators(MLEs) for unknown parameters. We have obtained the Bayes Estimators of unknown parameter $delta$ using Lindley's approximation. A Monte Carlo simulation is performed and used a programming language R to compare the performance of the method used, and the data set was analyzed for illustration purposes.\",\"PeriodicalId\":14240,\"journal\":{\"name\":\"International Journal of Nonlinear Analysis and Applications\",\"volume\":\"40 1\",\"pages\":\"1873-1877\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Nonlinear Analysis and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22075/IJNAA.2022.5819\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Nonlinear Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22075/IJNAA.2022.5819","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Estimation of parameter for the Pareto distribution based on right censoring
In this paper, we found the estimation of the unknown parameter $delta$ when $vartheta$ is a known parameter in the Pareto distribution. First, we get the maximum probability estimators(MLEs) for unknown parameters. We have obtained the Bayes Estimators of unknown parameter $delta$ using Lindley's approximation. A Monte Carlo simulation is performed and used a programming language R to compare the performance of the method used, and the data set was analyzed for illustration purposes.