Coherent systems based on sequential order statistics |
| |
Authors: | Jorge Navarro Marco Burkschat |
| |
Affiliation: | 1. Facultad de Matemáticas, Universidad de Murcia, 30100 Murcia, Spain;2. Otto von Guericke University Magdeburg, D‐39016 Magdeburg, Germany |
| |
Abstract: | The sequential order statistics (SOS) are a good way to model the lifetimes of the components in a system when the failure of a component at time t affects the performance of the working components at this age t. In this article, we study properties of the lifetimes of the coherent systems obtained using SOS. Specifically, we obtain a mixture representation based on the signature of the system. This representation is used to obtain stochastic comparisons. To get these comparisons, we obtain some ordering properties for the SOS, which in this context represent the lifetimes of k‐out‐of‐n systems. In particular, we show that they are not necessarily hazard rate ordered. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011 |
| |
Keywords: | coherent system k‐out‐of‐n system sequential order statistics system signature stochastic orders |
|
|