On some partial orderings of random closed sets

Helga Stoyan, Dietrich Stoyan · Mathematische Operationsforschung und Statistik Series Optimization · 1980

Three variants of stochastic ordering of random closed sets are suggested and used in order to prove monotonieity properties. Furthermore, a class of partial orderings of distribution functions is discussed which enable the comparison of distribution functions with equal n-th moment.

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