On the right spread ordering of parallel systems with two heterogeneous components |
| |
Authors: | Peng Zhao N. Balakrishnan |
| |
Affiliation: | 1. School of Mathematical Sciences, Jiangsu Normal University, Xuzhou 221116, Chinazhaop07@gmail.com;3. Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada L8S 4K1 |
| |
Abstract: | This article discusses the variability ordering of lifetimes of parallel systems with two independent heterogeneous exponential components in terms of the right spread order. It is proved, among others, that the reciprocal majorization order between the two hazard rate vectors implies the right spread order between the lifetimes of two parallel systems. The result is then extended to the proportional hazard rate model as well. The results established here extend and enrich those known in the literature. |
| |
Keywords: | dispersive order right spread order majorization p-larger order reciprocal majorization order parallel system |
|
|