{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,11]],"date-time":"2026-06-11T00:05:45Z","timestamp":1781136345821,"version":"3.54.1"},"reference-count":15,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2014,7,1]],"date-time":"2014-07-01T00:00:00Z","timestamp":1404172800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this paper, based on a doubly generalized Type II censored sample, the maximum likelihood estimators (MLEs), the approximate MLE and the Bayes estimator for the entropy of the Rayleigh distribution are derived. We compare the entropy estimators\u2019 root mean squared error (RMSE), bias and Kullback\u2013Leibler divergence values. The simulation procedure is repeated 10,000 times for the sample size n = 10, 20, 40 and 100 and various doubly generalized Type II hybrid censoring schemes. Finally, a real data set has been analyzed for illustrative purposes.<\/jats:p>","DOI":"10.3390\/e16073655","type":"journal-article","created":{"date-parts":[[2014,7,1]],"date-time":"2014-07-01T12:08:07Z","timestamp":1404216487000},"page":"3655-3669","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":73,"title":["An Estimation of the Entropy for a Rayleigh Distribution Based on Doubly-Generalized Type-II Hybrid Censored Samples"],"prefix":"10.3390","volume":"16","author":[{"given":"Youngseuk","family":"Cho","sequence":"first","affiliation":[{"name":"Department of Statistics, Pusan National University, Geumjeong-gu, Busan 609-735, Korea"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0754-5172","authenticated-orcid":false,"given":"Hokeun","family":"Sun","sequence":"additional","affiliation":[{"name":"Department of Statistics, Pusan National University, Geumjeong-gu, Busan 609-735, Korea"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kyeongjun","family":"Lee","sequence":"additional","affiliation":[{"name":"Department of Statistics, Pusan National University, Geumjeong-gu, Busan 609-735, Korea"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2014,7,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Cover, T.M., and Thomas, J.A. 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Simul"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"555","DOI":"10.1214\/aoms\/1177728723","article-title":"Truncated life tests in the exponential case","volume":"25","author":"Epstein","year":"1954","journal-title":"Ann. Math. Stat"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1007\/BF02530502","article-title":"Exact likelihood inference based on type I and type II hybrid censored samples from the exponential distribution","volume":"55","author":"Childs","year":"2003","journal-title":"Ann. Inst. Stat. Math"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"994","DOI":"10.1002\/nav.20038","article-title":"Exact likelihood inferance for the exponential distribution under generalized type I and type II hybrid censoring","volume":"51","author":"Chandrasekar","year":"2004","journal-title":"Nav. Res. 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