@Article{JMS-50-1,
author = {Gui , WenyongHuang , RongtanLin , Jianhua and Lin , X. Sheldon},
title = {Conditional Residual Lifetimes of $(n-k+1)$-out-of-$n$ Systems with Mixed Erlang Components},
journal = {Journal of Mathematical Study},
year = {2017},
volume = {50},
number = {1},
pages = {1--16},
abstract = {<p style="text-align: justify;">We consider an $(n-k+1)$-out-of-$n$ system with component lifetimes being
correlated. The main objective of this paper is to study the conditional residual lifetime
of an $(n-k+1)$-out-of-$n$ system, given that at a fixed time a certain number of
components have failed, assuming that the component lifetimes follow a multivariate
Erlang mixture. Comparison studies of the stochastic ordering of the $(n-k+1)$-out-of-$n$ system are presented. Several examples are presented to illustrate and confirm our
results.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v50n1.17.01},
url = {http://global-sci.org/intro/article_detail/jms/976.html}
}