169123 20260223150115.0 doi 10.1007/s44007-025-00184-8 sideral 147744 ART-2026-147744 eng Irshad, M. R. On the discrete power Teissier distribution and the associated inar(1) process 2026 Access copy available to the general public Unrestricted A discrete analogue of the continuous power Teissier distribution is introduced by means of the survival discretization approach. Some statistical measures and properties are studied such as the moments, quantile function and hazard rate function, among others, and a Monte Carlo simulation study is conducted to verify that the maximum likelihood method provides satisfactory estimates of the model parameters. It is relevant to remark that the new distribution can handle both underdispersed and overdispersed count data and also that its hazard rate function can be increasing, decreasing and bathtub shaped. Therefore, the proposed distribution is flexible enough to model a wide variety of count data from different fields in practical applications, which is illustrated using several real data sets. Additionally, the first order integer-valued autoregressive process INAR(1) associated to the new discrete distribution is constructed and compared to other competing processes when time series of counts are considered. info:eu-repo/grantAgreement/ES/DGA/E24-23R info:eu-repo/semantics/embargoedAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Krishna, A. Maya, R. Jodrá, P. Universidad de Zaragoza (orcid)0000-0003-3694-5228 2007 265 Universidad de Zaragoza Dpto. Métodos Estadísticos Área Estadís. Investig. Opera. 5, 1 (2026), [29 pp.] Matematica La Matematica 2730-9657 554859 http://zaguan.unizar.es/record/169123/files/texto_completo.pdf Postprint info:eu-repo/date/embargoEnd/2027-01-06 1787429 http://zaguan.unizar.es/record/169123/files/texto_completo.jpg?subformat=icon icon Postprint info:eu-repo/date/embargoEnd/2027-01-06 oai:zaguan.unizar.es:169123 articulos driver 2026-02-23-14:58:24 ARTICLE