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Variations on the Expectation Due to Changes in the Probability Measure

Year: 2025
Type: article
Abstract: In this paper, closed-form expressions for the variation of the expectation of a given function due to changes in the probability measure (probability distribution drifts) are presented. These expressions unveil interesting connections with Gibbs probability measures, information projections, Pythagorean identities for relative entropy, mutual information, and lautum information.
Source: Entropy
Language: English
Open Access status: gold
Estimated APC paid: $3,137
OpenAlex ID: W4413416565
FWCI:
Cites: 28
Cited by:
Related to: 10