RT journal article
T1 Risk times in mission-oriented systems
A1 Arriaza Gómez, Antonio Jesús
A1 Navarro, Jorge
A1 Ortega Jiménez, Patricia
A2 Estadística e Investigación Operativa
K1 Coherent systems
K1 Copula
K1 PELCoV
K1 Distorted distributions
AB This article assesses risk times in mission-oriented systems with high safety standards. We examine critical times under two safety policies. The first requires that the system’s reliability function, known the first failure of the components, must exceed a predetermined reliability level throughout the mission. The second demands that the conditional distribution of the system’s lifetime, known the first failure of the components, must be more reliable, in terms of the usual stochastic order, than the original system’s lifetime. Our study analyzes the critical times at which both policies remain viable. Our methodology, applicable to multiple failure scenarios, identifies sufficient conditions for the existence of these times. We offer explicit solutions for parallel systems with IID components and a general method for dependent and identically distributed components. The study includes practical examples and introduces a non-parametric estimator for the critical times.
YR 2024
FD 2024
LK http://hdl.handle.net/10498/33395
UL http://hdl.handle.net/10498/33395
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026