平均样本间隔的性质及其在拍卖中的应用

研究了平均样本间隔E(Xk+1:n-Xk:n)的性质.证明了当X具有DRHR年龄性质时,E(Xk+1:n-Xk:n)关于样本容量n递减.而当X具有IFR年龄性质时,E(Xk+1:n-Xk:n)-E(Xk+2:n+1-Xk+1:n+1)非负.最后,讨论了主要结果在拍卖模型中的应用.     

A note on expected rent in auction theory

The expected rent in a reverse (buyer's) auction is shown to be monotonically nonincreasing in the number of bidders if the distribution of valuations is DRHR (IFR). Conditions under which an increase in the spread of bids results in an increase in the expected rent are established as well.     

关于反失效率序,DRHR和IEIT寿命分布类的几个结论

在这篇论文中,首先提出了一个基于期望休止时间序的反失效率序的等价刻画,并且利用膨胀序给出了递增期望休止时间分布类的一个新的刻画.然后,研究了当元件属于某个寿命分布类时所揭示的k-out-t-n系统的休止时间的变化情况,以及同一K-out-t-n系统不同的休止时间变化情况.类似的,考虑了在k-out-t-n系统中最先失效元件的休止时间的情况.     

Some new results involving general standby systems

This article presents a stochastic comparison on the total lifetime of the general standby system and a discussion of the optimal allocation of a general standby component in a series system with two independent components. Several examples are also presented to justify the main results, which provide nice generalizations of some existing conclusions in the literature. Copyright © 2009 John Wiley & Sons, Ltd.