On the discrete power Teissier distribution and the associated inar(1) process

Irshad, M. R. ; Krishna, A. ; Maya, R. ; Jodrá, P. (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.1007/s44007-025-00184-8

Año: 2026

Publicado en: La Matematica 5, 1 (2026), [29 pp.]
ISSN: 2730-9657

Financiación: info:eu-repo/grantAgreement/ES/DGA/E24-23R

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Estadís. Investig. Opera. (Dpto. Métodos Estadísticos)