New continuous bivariate distributions developed based on general shock models

Lee, Hyunju ; Badia, F.G. (Universidad de Zaragoza) ; Cha, Ji Hwan

Resumen: In this study, we develop novel classes of continuous bivariate distributions based on general shock models. One class is that of absolutely continuous bivariate distributions, whereas the other one is that of non-absolutely continuous bivariate distributions. These classes are versatile in the sense that they can generate numerous families of distributions. We explore the distributional characteristics of the proposed classes, examining the bivariate ageing property and the dependence structure. Under some conditions, the proposed class of distributions satisfy certain kind of dependence property, called conditional PQD. Our result also reveals that a well-defined subclass of the proposed class satisfies the bivariate lack of memory property. Finally, we generate particular distribution families and apply them to two real-world datasets to illustrate their usefulness.

Idioma: Inglés

DOI: 10.1016/j.cam.2026.117437

Año: 2026

Publicado en: Journal of Computational and Applied Mathematics 484 (2026), 117437 [16 pp.]
ISSN: 0377-0427

Financiación: info:eu-repo/grantAgreement/ES/MCIU/PID2024-155364NB-I00
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2021-123737NB-I00

Tipo y forma: Artículo (Versión definitiva)

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