Two characterizations of conditional probability

Author:
M. M. Rao

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

MSC:
Primary 60A10; Secondary 46G10

MathSciNet review:
0410823

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

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

Keywords:
Conditional probability and expectation,
vector integration,
Šidák's identity

Article copyright:
© Copyright 1976
American Mathematical Society