Some Ordering Properties of Coherent Systems under Different Random Environments
LING Xiaoliang; GAO Yu; LI Ping
College of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018, China; School of Business, Hebei Normal University, Shijiazhuang, 050024, China
In reliability engineering, components of the coherent system may be dependent since they operate in a common random environment. This paper uses multivariate distortion function to describe the dependence among lifetimes of components and the structure function of the coherent system. Some sufficient conditions are given to compare two coherent systems under different random environments in the sense of usual stochastic order, failure rate order, reversed failure rate order and likelihood ratio order.
凌晓亮; 高宇; 李娉. 不同随机环境下关联系统的一些序性质[J]. 应用概率统计, 2021, 37(5): 441-448.
LING Xiaoliang; GAO Yu; LI Ping. Some Ordering Properties of Coherent Systems under Different Random Environments. CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST, 2021, 37(5): 441-448.
