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

Serdica Mathematical Journal (2012)

- Volume: 38, Issue: 4, page 633-644
- ISSN: 1310-6600

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topKsir, 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 -

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