An estimation method for the reliability of "consecutive-k-out-of-n system"

Ksir, Brahim. "An estimation method for the reliability of "consecutive-k-out-of-n system"." Serdica Mathematical Journal 38.4 (2012): 633-644. <http://eudml.org/doc/288257>.

@article{Ksir2012,
abstract = {2010 Mathematics Subject Classification: 60K10, 60K20, 60J10, 60J20, 62G02, 62G05, 68M15, 62N05, 68M15.This paper is concerned with consecutive-k-out-of-n system in which all the components have the same q lifetime probability, so, it's possible to estimate q from a sample by using the maximum likelihood principle. In the reliability formula of the consecutive-k-out-of-n system appears the term q^k. The goal in this work is to propose a direct estimation of q^k to avoid the accumulated errors owed to the power. More precisely, we establish a new method based on the Markov chains to calculate and estimate the reliability of the system.},
author = {Ksir, Brahim},
journal = {Serdica Mathematical Journal},
keywords = {Consecutive-k-out-of-n System; Likelihood Estimation; Markov Chains},
language = {eng},
number = {4},
pages = {633-644},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {An estimation method for the reliability of "consecutive-k-out-of-n system"},
url = {http://eudml.org/doc/288257},
volume = {38},
year = {2012},
}

TY - JOUR
AU - Ksir, Brahim
TI - An estimation method for the reliability of "consecutive-k-out-of-n system"
JO - Serdica Mathematical Journal
PY - 2012
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 38
IS - 4
SP - 633
EP - 644
AB - 2010 Mathematics Subject Classification: 60K10, 60K20, 60J10, 60J20, 62G02, 62G05, 68M15, 62N05, 68M15.This paper is concerned with consecutive-k-out-of-n system in which all the components have the same q lifetime probability, so, it's possible to estimate q from a sample by using the maximum likelihood principle. In the reliability formula of the consecutive-k-out-of-n system appears the term q^k. The goal in this work is to propose a direct estimation of q^k to avoid the accumulated errors owed to the power. More precisely, we establish a new method based on the Markov chains to calculate and estimate the reliability of the system.
LA - eng
KW - Consecutive-k-out-of-n System; Likelihood Estimation; Markov Chains
UR - http://eudml.org/doc/288257
ER -