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On the effect of perturbation of conditional probabilities in total variation

arXiv:1311.3066 · doi:10.1016/j.spl.2014.01.009

Abstract

A celebrated result by A. Ionescu Tulcea provides a construction of a probability measure on a product space given a sequence of regular conditional probabilities. We study how the perturbations of the latter in the total variation metric affect the resulting product probability measure.