Title : ( Residual lifetime prediction for sequential k-out-of-n systems with dependent component lifetimes )
Authors: Mohammad Baratnia , Abdolhamid Rezaei Roknabadi ,
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Abstract
ABSTRACT This paper deals with residual lifetimes of sequential k-out-of-n systems when component lifetimes are dependent. Given the first j component failure times, an unbiased predictor for the (jþ i)-th component failure time is derived. Maximum likelihood prediction of future component failure times is also studied. Estimation of the nuisance parameters is investigated under the conditional proportional hazard rates model with the Exponential baseline distribution and the Gumbel-Hougaard copula. Illustrative examples are also given.
Keywords
Developed sequential order statistics; Residual lifetime; Prediction; Archimedean copulas
@article{paperid:1086334,
author = {Baratnia, Mohammad and Rezaei Roknabadi, Abdolhamid},
title = {Residual lifetime prediction for sequential k-out-of-n systems with dependent component lifetimes},
journal = {Communications in Statistics - Theory and Methods},
year = {2021},
volume = {52},
number = {9},
month = {September},
issn = {0361-0926},
pages = {3178--3192},
numpages = {14},
keywords = {Developed sequential order
statistics; Residual lifetime;
Prediction; Archimedean
copulas},
}
%0 Journal Article
%T Residual lifetime prediction for sequential k-out-of-n systems with dependent component lifetimes
%A Baratnia, Mohammad
%A Rezaei Roknabadi, Abdolhamid
%J Communications in Statistics - Theory and Methods
%@ 0361-0926
%D 2021
