Title of article
On Conditional Inactivity Time of Failed Components in an (n k+1)-out-of-n System with Nonidentical Independent Components
Author/Authors
Alsadat Sajadi, Farkhondeh Department of Statistics - Faculty of Mathematics and Statistics - University of Isfahan - Isfahan, Iran , Poursaeed, Mohammad Hossein Department of Statistics - Lorestan University - Khoramabad, Iran , Goli, Sareh Department of Mathematical Sciences - Isfahan University of Technology - Isfahan, Iran
Pages
15
From page
69
To page
83
Abstract
In this paper, we study an (n k + 1)-out-of-n system by adopting their
components to be statistically independent though nonidentically distributed. By
assuming that at least m components at a fixed time have failed while the system is
still working, we obtain the mixture representation of survival function for a quantity
called the conditional inactivity time of failed components in the system. Moreover,
this quantity for (n k + 1)-out-of-n system, in one sample with respect to k and m and
in two samples, are stochastically compared
Keywords
Residual Lifetime , Nonidentical Components , Conditional Inactivity Time
Journal title
Journal of the Iranian Statistical Society (JIRSS)
Serial Year
2020
Record number
2527298
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