# Induced Measures and Product Measures

@inproceedings{Simonnet1996InducedMA, title={Induced Measures and Product Measures}, author={Michel Simonnet}, year={1996} }

- Published 1996
DOI:10.1007/978-1-4612-4012-9_9

9.1 Let µ be a measure on a semiring S whose underlying set is X. Let Y be a µ-measurable subset of X. Let T be a semiring whose underlying set is Y. Assume that µ, Y, and T are endowed with adequate properties. We define the measure µ/ T induced by µ on T and see how to integrate with respect to this induced measure (Theorem 9.1.1).