Some results on series and parallel systems of randomized components |
| |
Authors: | Nil Kamal Hazra Asok K Nanda |
| |
Institution: | Department of Mathematics and Statistics, IISER Kolkata, Mohanpur Campus, Mohanpur 741252, India |
| |
Abstract: | We study the system (series/parallel) where the components are randomly chosen from two different batches. We assume that one batch is more reliable than the other in some stochastic sense. In the case of series systems we show that, under certain conditions, lifetime of one system dominates that of the other in different stochastic orders viz. hazard rate, down shifted hazard rate and likelihood ratio orders. Further, we show that the same principle holds for the reversed hazard rate and the likelihood ratio orders in the case of parallel systems. |
| |
Keywords: | Series system Stochastic orders Parallel system TP2 function |
本文献已被 ScienceDirect 等数据库收录! |
|