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 Theory and practice of a bivariate trigonometric Burr XII distribution Subject The topic of the resource Applications; Bivariate continuous distribution; Copula; Inference; Modelling; Trigonometric function Description An account of the resource The precise modeling of bivariate continuous characteristics remains an actual challenge in probability and statistics. In this paper, we explore a new strategy based on the combination of a simple polynomial-sine copula and the Burr XII distribution. The idea is to use the oscillating functionalities of the polynomial-sine copula and the flexibility of the Burr XII distribution to propose a serious bivariate solution for the modelling of bivariate lifetime phenomena. Both theory and practice are developed. In particular, we determine the main functions related to the distribution, like the cumulative distribution function, probability density function, conditional density function, and hazard rate function, and perform a moment analysis, including various useful measures for bivariate modeling. On the practical plan, we derive the maximum likelihood and Bayes estimates for the unknown parameters. Also, the bootstrap confidence interval and the highest posterior density interval are obtained. The performance of the proposed bivariate distributions is examined using a simulation study. Finally, one data set is considered to illustrate its flexibility for real-life applications. 2023, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature. Creator An entity primarily responsible for making the resource Tyagi S.; Agiwal V.; Kumar S.; Chesneau C. Source A related resource from which the described resource is derived Afrika Matematika, Vol-34, No. 3 Publisher An entity responsible for making the resource available Springer Science and Business Media Deutschland GmbH Date A point or period of time associated with an event in the lifecycle of the resource 2023-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/s13370-023-01092-2" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s13370-023-01092-2</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85165252435&amp;doi=10.1007%2Fs13370-023-01092-2&amp;partnerID=40&amp;md5=b2c61e66f33bbbca87de08ed41a7480d" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85165252435&amp;doi=10.1007%2fs13370-023-01092-2&amp;partnerID=40&amp;md5=b2c61e66f33bbbca87de08ed41a7480d</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 10129405 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 Tyagi S., Department of Statistics and Data Science, Christ Deemed to be University, Karnataka, Bangalore, India; Agiwal V., Indian Institute of Public Health, Telangana, Hyderabad, India; Kumar S., Department of Statistics, University of Delhi, Delhi, 110007, India; Chesneau C., LMNO, Universitde Caen Normandie, Campus II, Science 3, Caen, 14032, France