Variations on the Expectation Due to Changes in the Probability Measure

Perlaza, Samir M., Bisson, Gaetan

arXiv.org Artificial Intelligence 

Closed-form expressions are presented for the variation of the expectation of a given function due to changes in the probability measure used for the expectation. They unveil interesting connections with Gibbs probability measures, the mutual information, and the lautum information.

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