Stochastic comparisons of random extremes from non-identical random variables
摘要
We propose some new results on the comparison of the minimum or maximum order statistics from a random number of non-identically distributed random variables. Under the non-identical set-up, with certain conditions, we prove that random minimum (maximum) of one system dominates the other in the likelihood ratio order. Further, we prove variation diminishing property (Karlin, 1968) for all possible restrictions to derive the new results.