000169123 001__ 169123
000169123 005__ 20260223150115.0
000169123 0247_ $$2doi$$a10.1007/s44007-025-00184-8
000169123 0248_ $$2sideral$$a147744
000169123 037__ $$aART-2026-147744
000169123 041__ $$aeng
000169123 100__ $$aIrshad, M. R.
000169123 245__ $$aOn the discrete power Teissier distribution and the associated inar(1) process
000169123 260__ $$c2026
000169123 5060_ $$aAccess copy available to the general public$$fUnrestricted
000169123 5203_ $$aA 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.
000169123 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E24-23R
000169123 540__ $$9info:eu-repo/semantics/embargoedAccess$$aby-nc-nd$$uhttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
000169123 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000169123 700__ $$aKrishna, A.
000169123 700__ $$aMaya, R.
000169123 700__ $$0(orcid)0000-0003-3694-5228$$aJodrá, P.$$uUniversidad de Zaragoza
000169123 7102_ $$12007$$2265$$aUniversidad de Zaragoza$$bDpto. Métodos Estadísticos$$cÁrea Estadís. Investig. Opera.
000169123 773__ $$g5, 1 (2026), [29 pp.]$$pMatematica$$tLa Matematica$$x2730-9657
000169123 8564_ $$s554859$$uhttps://zaguan.unizar.es/record/169123/files/texto_completo.pdf$$yPostprint$$zinfo:eu-repo/date/embargoEnd/2027-01-06
000169123 8564_ $$s1787429$$uhttps://zaguan.unizar.es/record/169123/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint$$zinfo:eu-repo/date/embargoEnd/2027-01-06
000169123 909CO $$ooai:zaguan.unizar.es:169123$$particulos$$pdriver
000169123 951__ $$a2026-02-23-14:58:24
000169123 980__ $$aARTICLE