Inequalities and bounds for expected order statistics from
transform-ordered families
Inequalities and bounds for expected order statistics from
transform-ordered families
We introduce a comprehensive method for establishing stochastic orders among order statistics in the i.i.d. case. This approach relies on the assumption that the underlying distribution is linked to a reference distribution through a transform order. Notably, this method exhibits broad applicability, particularly since several well-known nonparametric distribution families can …