title: A Reliability Test of a Complex System Based on Empirical Likelihood.
abstract: 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.
authors.affiliation: College of Mathematics and Statistics, Institute of Statistical Sciences, Shenzhen University, Shenzhen, China.
authors.forename: Yan
authors.initials: Y
authors.lastname: Zhou
authors.affiliation: School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China.
authors.forename: Liya
authors.initials: L
authors.lastname: Fu
authors.affiliation: College of Mathematics and Computational Science, Institute of Statistical Sciences, Shen Zhen-Hong Kong Joint Research Center for Applied Statistical Sciences, Shenzhen University, Shenzhen, China.
authors.forename: Jun
authors.initials: J
authors.lastname: Zhang
authors.affiliation: School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China.
authors.forename: Yongchang
authors.initials: Y
authors.lastname: Hui
mesh_terms: D016013:Likelihood Functions; D009010:Monte Carlo Method; D015203:Reproducibility of Results; D013223:Statistics as Topic / Q000379:methods*