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 New discrete trigonometric distributions: estimation with application to count data Subject The topic of the resource Data fitting; discrete distributions; maximum likelihood estimation; reliability; trigonometric families of distributions; Weibull distribution Description An account of the resource In this research, we contribute to the development of original discrete distributions for count data analysis. We elaborate four new and different discrete trigonometric distributions with two parameters based on a discretization of the so-called sin-Weibull, cos-Weibull, tan-Weibull, and type II tan-Weibull distributions. We investigate the advantages of the proposed distributions and their trigonometric nature for capturing count data. In particular, some fundamental distributional properties of the discrete sin-Weibull distribution are derived. Subsequently, we turn it into a statistical model. Parameter estimation by the maximum likelihood and proportion of zeros and ones methods are then discussed. A simulation study is carried out to evaluate some frequentist properties of the developed methodology. As the study focuses mainly on the practical aspect, the applicability of the proposed models is evaluated using real-count datasets from various fields. 2024 Informa UK Limited, trading as Taylor &amp; Francis Group. Creator An entity primarily responsible for making the resource Chesneau C.; Gillariose J.; Joseph J.; Tyagi A. Source A related resource from which the described resource is derived International Journal of Modelling and Simulation Publisher An entity responsible for making the resource available Taylor and Francis Ltd. 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/10.1080/02286203.2024.2315328" target="_blank" rel="noreferrer noopener">https://doi.org/10.1080/02286203.2024.2315328</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85185696462&amp;doi=10.1080%2F02286203.2024.2315328&amp;partnerID=40&amp;md5=d917613b0cf67a5b9b7eae8cc35172cf" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85185696462&amp;doi=10.1080%2f02286203.2024.2315328&amp;partnerID=40&amp;md5=d917613b0cf67a5b9b7eae8cc35172cf</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 2286203; CODEN: IMSIE 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 Chesneau C., Department of Mathematics, LMNO, University of Caen, Caen, France; Gillariose J., Department of Statistics and Data Science, CHRIST (Deemed to be University), Karnataka, Bangalore, India; Joseph J., SCAPS, Marian College Kuttikkanam, Peermade, Idukki District, Kerala, India; Tyagi A., Department of Statistics, Chaudhary Charan Singh University, Meerut, India