Journal of the Iranian Statistical Society
پژوهشنامه انجمن آمار ایران
JIRSS
Basic Sciences
http://jirss.irstat.ir
1
admin
1726-4057
2538-189X
8
10.29252/jirss
14
1726-4057
13
en
jalali
1399
3
1
gregorian
2020
6
1
19
1
online
1
fulltext
en
On Conditional Inactivity Time of Failed Components in an (n-k+1)-out-of-n System with Nonidentical Independent Components
62Nxx: Survival analysis and censored data
62Nxx: Survival analysis and censored data
Original Paper
Original Paper
<p style="text-align: justify;">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.</p>
Conditional Inactivity Time, Nonidentical Components, Residual Lifetime.
69
83
http://jirss.irstat.ir/browse.php?a_code=A-11-832-1&slc_lang=en&sid=1
Farkhondeh Alsadat
Sajadi
f.sajadi@sci.ui.ac.ir
`10031947532846003368`

10031947532846003368
Yes
Department of Statistics, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan, Iran.
Mohammad Hossein
Poursaeed
poursaeed.m@lu.ac.ir
`10031947532846003369`

10031947532846003369
No
Department of Statistics, Lorestan University, Khoramabad, Iran.
Sareh
Goli
s.goli@cc.iut.ac.ir
`10031947532846003370`

10031947532846003370
No
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran.