A Reliability Test of a Complex System Based on Empirical Likelihood

To analyze the reliability of a complex system described by minimal paths, an empirical likelihood method is proposed to solve the reliability test problem when the subsystem distributions are unknown. Furthermore, we provide a reliability test statistic of the complex system and extract the limit d...

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Detalles Bibliográficos
Autores principales: Zhou, Yan, Fu, Liya, Zhang, Jun, Hui, Yongchang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2016
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5070807/
https://www.ncbi.nlm.nih.gov/pubmed/27760130
http://dx.doi.org/10.1371/journal.pone.0163557
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author Zhou, Yan
Fu, Liya
Zhang, Jun
Hui, Yongchang
author_facet Zhou, Yan
Fu, Liya
Zhang, Jun
Hui, Yongchang
author_sort Zhou, Yan
collection PubMed
description To analyze the reliability of a complex system described by minimal paths, an empirical likelihood method is proposed to solve the reliability test problem when the subsystem distributions are unknown. Furthermore, we provide a reliability test statistic of the complex system and extract the limit distribution of the test statistic. Therefore, we can obtain the confidence interval for reliability and make statistical inferences. The simulation studies also demonstrate the theorem results.
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spelling pubmed-50708072016-10-27 A Reliability Test of a Complex System Based on Empirical Likelihood Zhou, Yan Fu, Liya Zhang, Jun Hui, Yongchang PLoS One Research Article To analyze the reliability of a complex system described by minimal paths, an empirical likelihood method is proposed to solve the reliability test problem when the subsystem distributions are unknown. Furthermore, we provide a reliability test statistic of the complex system and extract the limit distribution of the test statistic. Therefore, we can obtain the confidence interval for reliability and make statistical inferences. The simulation studies also demonstrate the theorem results. Public Library of Science 2016-10-19 /pmc/articles/PMC5070807/ /pubmed/27760130 http://dx.doi.org/10.1371/journal.pone.0163557 Text en © 2016 Zhou et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Zhou, Yan
Fu, Liya
Zhang, Jun
Hui, Yongchang
A Reliability Test of a Complex System Based on Empirical Likelihood
title A Reliability Test of a Complex System Based on Empirical Likelihood
title_full A Reliability Test of a Complex System Based on Empirical Likelihood
title_fullStr A Reliability Test of a Complex System Based on Empirical Likelihood
title_full_unstemmed A Reliability Test of a Complex System Based on Empirical Likelihood
title_short A Reliability Test of a Complex System Based on Empirical Likelihood
title_sort reliability test of a complex system based on empirical likelihood
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5070807/
https://www.ncbi.nlm.nih.gov/pubmed/27760130
http://dx.doi.org/10.1371/journal.pone.0163557
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