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De la Vallée-Poussin theorem for the integrals over general random measures. (English. Ukrainian original) Zbl 0939.60033

Theory Probab. Math. Stat. 57, 171-173 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 160-162 (1997).
The author deals with integrals of real functions \(f\) over general random measure \(\mu.\) A criterion for the set of \(\mu\)-integrated functions \(f\) to be uniformly integrated is proposed. This result is analogous to the De la Vallée-Poussin theorem for integrals with respect to real measure.

MSC:

60G57 Random measures
60H05 Stochastic integrals