In many economic applications involving comparisons of multivariate distributions, supermodularity of an objective function is a natural property for capturing a preference for greater interdependence. One multivariate distribution dominates another according to the supermodular stochastic ordering if it yields a higher expectation than the other for all supermodular objective functions. We pro...

The likelihood ratio test is often used to test hypotheses involving a stochastic ordering. Distribution theory for the likelihood ratio test has been developed only for two stochastically ordered distributions. For testing equality of distributions against a stochastic ordering in several populations, this paper derives the null asymptotic distribution of the likelihood ratio test statistic, w...

We obtain stochastic inequalities, error bounds, and classification probability for a general class of distributions. We introduce the notion of variability ordering via the probability functional and comparisons made for the weighted and the original distributions. We present moment inequalities, comparisons, and applications. 2000 Mathematics Subject Classification. 62N05, 62B10.

This study is the first to consider a distribution-free approach in newsvendor model with transfer of risk and back-ordering. Previously, many articles, discrete demand considered. In this model, we selling single seasonal item price-dependent stochastic demand. Competition markets has forced retailer manufacturer coordinate decentralized supply chain management. A coordination contract made be...

We present stochastic comparison results for the delays experienced by various types of sessions scheduled by Weighted Round Robin. We show that some sessions may take advantage (in the sample-path ordering sense) of an aggregation of sessions. We also show that this aggregation may have some unexpected consequences.