Probability inequalities via negative dependence for random variables conditioned on order statistics
研究了独立同分布随机变量在顺序统计量事件条件下的分布，证明其具有强负相关性，并给出分布函数界，应用于k-out-of-n系统可靠性分析。
Distributions are studied which arise by considering independent and identically distributed random variables conditioned on events involving order statistics. It is shown that these distributions are negatively dependent in a very strong sense. Furthermore, bounds are found on the distribution functions. The conditioning events considered occur naturally in reliability theory as the time to system failure for k-out-of-n systems. An application to systems formed with “second-hand” components is given.