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Preface
Communications in Statistics - Theory and Methods ( IF 0.8 ) Pub Date : 2020-06-07 , DOI: 10.1080/03610926.2020.1776049
Xufeng Zhao 1 , Jingyuan Shen 2
Affiliation  

This special issue of the journal Communications in Statistics – Theory and Methods includes selected papers presented at the symposium on Stochastic Models in Reliability Engineering, Life Sciences and Operations Management (SMRLO 2019). The symposium was held during May 29-31, 2019, in Beijing, China, and it provided a forum for exchanging and sharing new ideas and knowledge on stochastic modeling from theory to applications on the directions of Quality and Reliability, Life Science and Operations Management. This issue mainly includes fifteen papers that are with real-world applications over purely theoretical works in reliability, after the peer-review process according to the standards of the journal handled by the guest editors. In the first paper “Reliability analysis for stress-strength model from a general truncated distribution under censored data”, Liang Wang et al. discuss inference of stressstrength reliability (SSR) for a general family of lower truncated distributions. When the lifetime models of the strength and stress variables have arbitrary and common parameters, maximum likelihood and pivotal quantities based generalized estimators of SSR are established, respectively. Confidence intervals are constructed based on generalized pivotal quantities and bootstrap technique under different parameter cases as well. In addition, to compare the equivalence of the strength and stress parameters, likelihood ratio testing of interested parameters is provided as a complementary. The second paper “A multiple warm standby repairable system under N-policy with multiple vacations following Markovian arrival process” by Baoliang Liu et al., considers a warm standby n-unit system under N-policy with one repairman taking multiple vacations. The lifetime of the online unit due to an internal failure follows a phase-type (PH) distribution. The inter-arrival time of shocks and the random amount of shock damage are governed by other two different PH distributions, respectively. Standby units are subject to shocks from a different cause, which are governed by a Markovian arrival process (MAP). A repairman who can take multiple vacations repairs the failed units based on the N-policy. The successive repair times and the successive vacation times of the repairman are governed by other two different MAPs, respectively. A Markov process is constructed to describe the warm standby n-unit system, and then, the system is studied in a transient and stationary regime using matrix-analytical approaches. The next paper “Failure analysis of network nodes and edges in scale-free networks” by Hongyan Dui et al., studies different types of nodes and edges for deterministic networks and their differences in location are considered by their contributions to the networks. The relative capacity of the flow for edges is proposed, and a quantitative description of scale of failure is explored to analyze the importance rank of network elements. The results show that single-to-multiple networks always perform well, no matter if we consider the distribution of edges importance, or the difference in scale of failure caused by different nodes.
更新日期:2020-06-07
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