{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,29]],"date-time":"2026-10-29T22:00:57Z","timestamp":1793311257521,"version":"4.5.0"},"reference-count":41,"publisher":"Oxford University Press (OUP)","issue":"1","license":[{"start":{"date-parts":[[2022,3,14]],"date-time":"2022-03-14T00:00:00Z","timestamp":1647216000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023,2,11]]},"abstract":"<jats:title>Summary<\/jats:title><jats:p>We consider the problem of empirical Bayes estimation of multiple variances when provided with sample variances. Assuming an arbitrary prior on the variances, we derive different versions of the Bayes estimators using different loss functions. For one particular loss function, the resulting Bayes estimator relies on the marginal cumulative distribution function of the sample variances only. When replacing it with the empirical distribution function, we obtain an empirical Bayes version called the $F$-modelling-based empirical Bayes estimator of variances. We provide theoretical properties of this estimator, and further demonstrate its advantages through extensive simulations and real data analysis.<\/jats:p>","DOI":"10.1093\/biomet\/asac019","type":"journal-article","created":{"date-parts":[[2022,3,13]],"date-time":"2022-03-13T12:06:56Z","timestamp":1647173216000},"page":"69-81","source":"Crossref","is-referenced-by-count":8,"title":["On<i>F<\/i>-modelling-based empirical Bayes estimation of variances"],"prefix":"10.1093","volume":"110","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1663-5401","authenticated-orcid":false,"given":"Yeil","family":"Kwon","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Central Arkansas , 201 Donaghey Avenue, Conway, Arkansas 72035, U.S.A"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9915-6448","authenticated-orcid":false,"given":"Zhigen","family":"Zhao","sequence":"additional","affiliation":[{"name":"Department of Statistics, Operations, and Data Science, Temple University , 1801 Liacouras Walk, Philadelphia, Pennsylvania 19122, U.S.A"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2022,3,14]]},"reference":[{"key":"2023031400055782900_","first-page":"6745","article-title":"Broad patterns of gene expression revealed by clustering analysis of tumor and normal colon tissues probed by oligonucleotide arrays","volume-title":"Proc. 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