{"title":"弗雷谢特分布的对数矩估计法","authors":"Victor Nawa , Saralees Nadarajah","doi":"10.1016/j.cam.2024.116293","DOIUrl":null,"url":null,"abstract":"<div><div>New estimators for the Fréchet distribution based on the method of logarithmic moments are proposed. These are the first estimators for the Fréchet distribution taking closed forms and applicable for all parameter values. Large sample properties of the proposed estimators are derived. The proposed estimators are compared to the maximum likelihood estimators by simulation.</div></div>","PeriodicalId":2,"journal":{"name":"ACS Applied Bio Materials","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Logarithmic method of moments estimators for the Fréchet distribution\",\"authors\":\"Victor Nawa , Saralees Nadarajah\",\"doi\":\"10.1016/j.cam.2024.116293\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>New estimators for the Fréchet distribution based on the method of logarithmic moments are proposed. These are the first estimators for the Fréchet distribution taking closed forms and applicable for all parameter values. Large sample properties of the proposed estimators are derived. The proposed estimators are compared to the maximum likelihood estimators by simulation.</div></div>\",\"PeriodicalId\":2,\"journal\":{\"name\":\"ACS Applied Bio Materials\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2024-09-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACS Applied Bio Materials\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0377042724005417\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, BIOMATERIALS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Bio Materials","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0377042724005417","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, BIOMATERIALS","Score":null,"Total":0}
Logarithmic method of moments estimators for the Fréchet distribution
New estimators for the Fréchet distribution based on the method of logarithmic moments are proposed. These are the first estimators for the Fréchet distribution taking closed forms and applicable for all parameter values. Large sample properties of the proposed estimators are derived. The proposed estimators are compared to the maximum likelihood estimators by simulation.
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