An Approach to Comparing Coherent Systems With Ordered Components by Using Survival Signatures
Weiyong Ding, Rui Fang, Peng Zhao
Abstract
In this article, we tackle the problem of using survival signatures to compare heterogeneous systems with ordered components. The scenarios where systems have the same size and those where they have different sizes are studied. Several sufficient conditions comparing two system lifetimes in the sense of the usual stochastic order are provided. Several numerical examples are presented to illustrate the main results.
Topics & Concepts
Stochastic orderingStatistical physicsStochastic processComputer scienceReliability theorySignature (topology)Applied mathematicsTheoretical computer scienceMathematicsAlgorithmMathematical optimizationStatisticsFailure ratePhysicsGeometryStatistical Distribution Estimation and ApplicationsBayesian Methods and Mixture ModelsFinancial Risk and Volatility Modeling