The paper is concerned with the relationship between various modes of convergence for stochastically monotone sequences of random variables. A necessary and sufficient condition, as well as a ...
Let Pn, P be probabilities, and F, F* be collections of real functions. Simple conditions are derived under which the simple convergence of ʃ f(x)Pn(dx) to ʃ f(x)P(dx) for every f in F* implies ...
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