Non-positive upper bounds on expectations of small order statistics from DDA and DFRA populations
Non-positive upper bounds on expectations of small order statistics from DDA and DFRA populations
Rychlik [Appl Math (Warsaw) 29:15–32, 2002] presented positive sharp upper bounds on the expectations of order statistics with sufficiently large ranks, based on i.i.d. samples from the decreasing density and failure rate populations (DDA and DFRA, for short). They were expressed in terms of the population mean and standard deviation. …