Two characterizations of conditional probability

Rao, M. M.

doi:10.1090/S0002-9939-1976-0410823-7

Two characterizations of conditional probability
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by M. M. Rao

Proc. Amer. Math. Soc. 59 (1976), 75-80

DOI: https://doi.org/10.1090/S0002-9939-1976-0410823-7

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Abstract:

This note contains two types of functional equations characterizing the conditional probability measures as subclasses of vector measures on general Banach function spaces. One uses the theory of vector integration and the other employs a form of the Šidák identity.

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