WEIGHTED APPROXIMATION OF RANDOM FUNCTIONS

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Let(Ω,A,P) be a probability space,X(t,ω) a random function continuous in probability for t∈[0,∞) or (-∞,+∞)(ω∈Ω),and F(t) a positive function continuous for t∈[0,+∞) or (-∞,+∞). If X(t,ω) and F(t) verify certain conditions,then there exista a sequence {Qn
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