Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Articles Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Bivariate iterated FarlieGumbelMorgenstern stressstrength reliability model for Rayleigh margins: Properties and estimation Subject The topic of the resource dependence stressstrength; Iterated FGM; Monte-Carlo simulation; Rayleigh distribution; reliability Description An account of the resource In this paper, we propose bivariate iterated FarlieGumbelMorgenstern (FGM) due to[Huang and Kotz (1984). Correlation structure in iterated Farlie-Gumbel-Morgenstern distributions. Biometrika 71(3), 633636. https://doi.org/10.2307/2336577] with Rayleigh marginals. The dependence stressstrength reliability function is derived with its important reliability characteristics. Estimates of dependence reliability parameters are obtained. We analyse the effects of dependence parameters on the reliability function. We found that the upper bound of the positive correlation coefficient is attaining to 0.41 under a single iteration with Rayleigh marginals. A comprehensive comparison between classical FGM with iterated FGM copulas is graphically examined to assess the over or under estimation of reliability with respect to ? and ?. We propose a two-phase estimation procedure for estimating the reliability parameters. A Monte-Carlo simulation study is conducted to assess the finite sample behaviour of the proposed reliability estimators. Finally, the proposed estimators are examined and validated with real data sets. 2024 The Author(s). Published by Informa UK Limited, trading as Taylor &amp; Francis Group. Creator An entity primarily responsible for making the resource Chandra N.; James A.; Domma F.; Rehman H. Source A related resource from which the described resource is derived Statistical Theory and Related Fields, Vol-8, No. 4, pp. 315-334. Publisher An entity responsible for making the resource available Routledge Date A point or period of time associated with an event in the lifecycle of the resource 2024-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1080/24754269.2024.2398987" target="_blank" rel="noreferrer noopener">https://doi.org/10.1080/24754269.2024.2398987</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85205685313&amp;doi=10.1080%2F24754269.2024.2398987&amp;partnerID=40&amp;md5=74f1bc6118f3f1d7b4800656b6fc855d" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85205685313&amp;doi=10.1080%2f24754269.2024.2398987&amp;partnerID=40&amp;md5=74f1bc6118f3f1d7b4800656b6fc855d</a> Rights Information about rights held in and over the resource All Open Access; Gold Open Access Relation A related resource ISSN: 24754269 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Chandra N., Department of Statistics, Ramanujan School of Mathematical Sciences, Pondicherry University, Puducherry, India; James A., Department of Statistics and Data Science, CHRIST University, Bengaluru, India; Domma F., Department of Economics, Statistics and Finance Giovanni Anania, University of Calabria, CS, Arcavacata of Rende, Italy; Rehman H., Department of Medicine (Biomedical Genetics), Boston University Chobanian &amp; Avedisian School of Medicine, Boston, MA, United States