Title: When properties of component lifetimes are inherited by system?
Abstract
We discuss the distributional properties of a system with components whose lifetimes are identically distributed, and their joint distribution admits the Samaniego signature representation. We present some conditions on the system signatures under which the monotone failure rate, density and reversed failure rate of the components’ lifetimes are inherited by the system lifetime distribution.
References
- Arnold, B.C., Rychlik, T. and Szymkowiak, M. (2022). Preservation of distributional properties of component lifetimes by system lifetimes. TEST 31, 901–930.
- Navarro, J., Rychlik, T. and Spizzichino, F. (2021). Conditions on marginals andcopula of component lifetimes for signature representation of system lifetime. Fuzzy Sets and Systems 415, 99–117.
- Rychlik, T. and Szymkowiak, M. (2022). Signature conditions for distributionalproperties of system lifetimes if component lifetimes are iid exponential, IEEE Transactions on Reliability, 71(2), 590 – 602.
- Samaniego, F.J. (1985). On closure of the IFR class under formation of coherentsystems. IEEE Transactions on Reliability 34, 69–72.
- Date: 25/05/2023, 15h30
- Lieu: IBISC, site Pelvoux, Amphithéâtre Y.Bestaoui – Bx30, voir le séminaire par Zoom: https://univ-evry-fr.zoom.us/j/95215657754?pwd=aEJuRWJwNmRDZzJldjB6MTNwWjJHQT09
- Invitante: Naïma AITOUFROUKH-MAMMAR (MCF HDR Univ. Évry, IBISC équipe SIAM)
- Organisatrices: Nadia ABCHICHE-MIMOUNI (MCF Univ. Évry, IBISC équipe IRA2), Naïma AITOUFROUKH-MAMMAR (MCF HDR Univ. Évry, IBISC équipe SIAM)
- Résumé du séminaire au format PDF
