Random Sampling in the Evaluation of a Lebesgue Integral

Abstract

The purpose of this note is to show that in the evaluation of a Lebesgue integral a sort of random sampling scheme is permissible. I t is possible, therefore, that the results may have application to questions of probability or statistics. The chief positive result established here is embodied in Theorem 4. With the object of indicating clearly the question… (More)

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