Computing subsignatures of systems with exchangeable component lifetimes
Probability
2014-08-05 v2 Statistics Theory
Statistics Theory
Abstract
The subsignatures of a system with continuous and exchangeable component lifetimes form a class of indexes ranging from the Samaniego signature to the Barlow-Proschan importance index. These indexes can be computed through explicit linear expressions involving the values of the structure function of the system. We show how the subsignatures can be computed more efficiently from the reliability function of the system via identifications of variables, differentiations, and integrations.
Cite
@article{arxiv.1403.2247,
title = {Computing subsignatures of systems with exchangeable component lifetimes},
author = {Jean-Luc Marichal},
journal= {arXiv preprint arXiv:1403.2247},
year = {2014}
}