On the Residual Lifetime and Inactivity Time in Mixtures

Francisco Germán Badía () and María Dolores Berrade
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Francisco Germán Badía: Departamento de Metodos Estadísticos, Escuela de Ingeniería y Arquitectura, Universidad de Zaragoza, 50018 Zaragoza, Spain
María Dolores Berrade: Departamento de Metodos Estadísticos, Escuela de Ingeniería y Arquitectura, Universidad de Zaragoza, 50018 Zaragoza, Spain

Mathematics, 2022, vol. 10, issue 15, 1-20

Abstract: 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.

Keywords: mixture; residual life variance; inactivity time variance; aging class; bending property (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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