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The interesting performance of estimators based on generalized means leads us to base the estimation of the Weibull tail coefficient on the power mean-of-order-<jats:inline-formula><a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><a:mi>p<\/a:mi><\/a:math><\/jats:inline-formula>. Consistency and asymptotic normality of the estimators under study are put forward. Their performance for finite samples is illustrated through a Monte Carlo simulation. It is always possible to find a negative value of<jats:inline-formula><c:math xmlns:c=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><c:mi>p<\/c:mi><\/c:math><\/jats:inline-formula>(contrarily to what happens with the mean-of-order-<jats:inline-formula><e:math xmlns:e=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><e:mi>p<\/e:mi><\/e:math><\/jats:inline-formula>estimator for the extreme value index), such that, for adequate values of the threshold, there is a reduction in both bias and root mean square error.<\/jats:p>","DOI":"10.1155\/2022\/7290822","type":"journal-article","created":{"date-parts":[[2022,6,26]],"date-time":"2022-06-26T21:35:08Z","timestamp":1656279308000},"page":"1-12","source":"Crossref","is-referenced-by-count":5,"title":["The Use of Generalized Means in the Estimation of the Weibull Tail Coefficient"],"prefix":"10.1155","volume":"2022","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8628-7281","authenticated-orcid":true,"given":"Frederico","family":"Caeiro","sequence":"first","affiliation":[{"name":"NOVA School of Science and Technology (FCT NOVA), NOVA University Lisbon, Caparica, Portugal"},{"name":"Centro de Matem\u00e1tica e Aplica\u00e7\u00f5es (CMA), NOVA University Lisbon, Caparica, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4881-4188","authenticated-orcid":true,"given":"L\u00edgia","family":"Henriques-Rodrigues","sequence":"additional","affiliation":[{"name":"Department of Mathematics, School of Sciences and Technology, University of \u00c9vora, \u00c9vora, Portugal"},{"name":"Research Center in Mathematics and Applications (CIMA), University of \u00c9vora, \u00c9vora, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2903-6993","authenticated-orcid":true,"given":"M. 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