{"title":"基于阶统计量的广义指数分布的推断","authors":"M. Abbasnejad","doi":"10.18869/ACADPUB.JIRSS.16.1.1004","DOIUrl":null,"url":null,"abstract":". Recently, a new distribution, named as extended generalized exponential distribution, has been introduced by Kundu and Gupta (2011). In this paper, we con-sider the extended generalized exponential distribution with known shape parameters (cid:11) and (cid:12) . At first, the exact expressions for marginal and product moments of order statistics are derived. Then, these values are used to obtain the necessary coe ffi cients for the best linear unbiased estimators and L-moments estimators of the location and scale parameters. The mean squared errors of these estimators are also given and com-pared.","PeriodicalId":42965,"journal":{"name":"JIRSS-Journal of the Iranian Statistical Society","volume":"16 1","pages":"53-67"},"PeriodicalIF":0.1000,"publicationDate":"2017-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Inferences for Extended Generalized Exponential Distribution based on Order Statistics\",\"authors\":\"M. Abbasnejad\",\"doi\":\"10.18869/ACADPUB.JIRSS.16.1.1004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". Recently, a new distribution, named as extended generalized exponential distribution, has been introduced by Kundu and Gupta (2011). In this paper, we con-sider the extended generalized exponential distribution with known shape parameters (cid:11) and (cid:12) . At first, the exact expressions for marginal and product moments of order statistics are derived. Then, these values are used to obtain the necessary coe ffi cients for the best linear unbiased estimators and L-moments estimators of the location and scale parameters. The mean squared errors of these estimators are also given and com-pared.\",\"PeriodicalId\":42965,\"journal\":{\"name\":\"JIRSS-Journal of the Iranian Statistical Society\",\"volume\":\"16 1\",\"pages\":\"53-67\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2017-06-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"JIRSS-Journal of the Iranian Statistical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18869/ACADPUB.JIRSS.16.1.1004\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"JIRSS-Journal of the Iranian Statistical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18869/ACADPUB.JIRSS.16.1.1004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
Inferences for Extended Generalized Exponential Distribution based on Order Statistics
. Recently, a new distribution, named as extended generalized exponential distribution, has been introduced by Kundu and Gupta (2011). In this paper, we con-sider the extended generalized exponential distribution with known shape parameters (cid:11) and (cid:12) . At first, the exact expressions for marginal and product moments of order statistics are derived. Then, these values are used to obtain the necessary coe ffi cients for the best linear unbiased estimators and L-moments estimators of the location and scale parameters. The mean squared errors of these estimators are also given and com-pared.
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