ISRN Probability and Statistics
Random variables -- Mathematical models, Stochastic orders, Mathematical statistics, Order statistics
We review some of the recent developments in the area of stochastic comparisons of order statistics and sample spacings. We consider the cases when the parent observations are identically as well as nonidentically distributed. But most of the time we will be assuming that the observations are independent. The case of independent exponentials with unequal scale parameters as well as the proportional hazard rate model is discussed in detail.
Subhash Kochar, "Stochastic Comparisons of Order Statistics and Spacings: A Review," ISRN Probability and Statistics, vol. 2012, Article ID 839473, 47 pages, 2012.