Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1151973 | Statistics & Probability Letters | 2012 | 8 Pages |
Abstract
In this paper, we investigate the number of failed components in a coherent system. We consider an (n−m+1)(n−m+1)-out-of-nn system and we compute the probability that there are exactly ii failures, i=0,…,m−1i=0,…,m−1, in the system under the condition that it is operating at time tt. Several properties of the proposed time dependent probabilities are studied. The results are then extended to coherent systems consisting of nn components with an arbitrary signature vector.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Majid Asadi, Alexandre Berred,