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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:
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
Descripción
Sumario: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.