On the Residual Lifetime and Inactivity Time in Mixtures

Badía Blasco, Francisco Germán (Universidad de Zaragoza) ; Berrade, María Dolores (Universidad de Zaragoza)

Resumen: In this paper we study the aging characteristics in mixtures of distributions, providing characterizations for their derivatives that explain the smooth behavior of the mixture. The classical preservation results for the reversed hazard rate, mean residual life and mean inactivity time are derived under a different approach than in previous studies. We focus on the variance of both the residual life and inactivity time in mixtures, obtaining some preservation properties. We also state conditions for weak and strong bending properties for the variance of the residual life and the inactivity time in mixtures.

Idioma: Inglés

DOI: 10.3390/math10152795

Año: 2022

Publicado en: Mathematics 10, 15 (2022), 2795 [20 pp.]
ISSN: 2227-7390

Factor impacto JCR: 2.4 (2022)

Categ. JCR: MATHEMATICS rank: 23 / 329 = 0.07 (2022) - Q1 - T1

Factor impacto CITESCORE: 3.5 - Engineering (Q2) - Mathematics (Q1) - Computer Science (Q2)

Factor impacto SCIMAGO: 0.446 - Computer Science (miscellaneous) (Q2) - Mathematics (miscellaneous) (Q2) - Engineering (miscellaneous) (Q2)

Financiación: info:eu-repo/grantAgreement/ES/MINECO/PGC2018-094964-B-100

Tipo y forma: Article (Published version)

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