{"title":"Properties of extropy and its weighted version for doubly truncated random variables","authors":"E. I. Abdul Sathar, R. Dhanya Nair","doi":"10.1007/s11587-024-00863-8","DOIUrl":null,"url":null,"abstract":"<p>This paper proposes interval extropy and its length-biased version to measure the uncertainty of a doubly truncated random variable. Properties and characterizations of some important life distributions in terms of the new measures are obtained. Nonparametric estimators for the proposed measures are also suggested, and their performance is verified using simulated and real data sets.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ricerche di Matematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11587-024-00863-8","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper proposes interval extropy and its length-biased version to measure the uncertainty of a doubly truncated random variable. Properties and characterizations of some important life distributions in terms of the new measures are obtained. Nonparametric estimators for the proposed measures are also suggested, and their performance is verified using simulated and real data sets.
期刊介绍：
“Ricerche di Matematica” publishes high-quality research articles in any field of pure and applied mathematics. Articles must be original and written in English. Details about article submission can be found online.
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