Consistent Estimation of Distribution Functions under Increasing Concave and Convex Stochastic Ordering
Consistent Estimation of Distribution Functions under Increasing Concave and Convex Stochastic Ordering
A random variable Y1 is said to be smaller than Y2 in the increasing concave stochastic order if E[ϕ(Y1)]≤E[ϕ(Y2)] for all increasing concave functions ϕ for which the expected values exist, and smaller than Y2 in the increasing convex order if E[ψ(Y1)]≤E[ψ(Y2)] for all increasing convex ψ. This article develops …