PRHR模型次序统计量的普通多元随机序

Usual Multivariate Stochastic Order on the Proportional Reversed Hazard Rates Model

摘要: 设, , , 都是独立的PRHR随机变量. 首先, 我们由, 可得成立. 其次, 我们考虑了独立的PRHR 随机变量卷积的一般序比较. 假定和, 我们证明了由 , 可得对任意的, 有成立. 本文中建立的结果推广了已有文献的相关结论.

Abstract: Let , , , be all independent PRHR variables. Firstly, we show that implies . Secondly, we consider the comparison of convolutions of independent heterogeneous PRHR variables with respect to the usual stochastic ordering. Suppose and , we prove that implies , for all . The results established here strengthen some of the results known in the literature.