Properties of System Lifetime in the Classical Model with I.I.D. Exponential Component Lifetimes
[ 1 ] Instytut Automatyki i Robotyki, Wydział Automatyki, Robotyki i Elektrotechniki, Politechnika Poznańska | [ P ] employee
2021
chapter in monograph
english
- coherent system
- mixed system
- exponential component lifetime
- Samaniego signature
- unimodality
- strong unimodality failure rate function
- mean residual life
EN We consider coherent and mixed systems composed of components with independent identically exponentially distributed lifetimes. We describe sufficient conditions assuring specific properties of the system lifetime density and failure rate functions expressed in terms of the system Samaniego signature. In particular, we determine conditions which guarantee monotonicity, unimodality, and strong unimodality of the density function, and monotonicity of the failure rate and mean residual life.
18.11.2020
43 - 68
20