The existence of regular conditional probabilities for Markov kernels
In this work, considering a Markov kernel (also called a stochastic kernel or transition probability) as a generalization of the concepts of the σ-field and the random variable, the concept of a conditional distribution (or regular conditional probability) of a Markov kernel given another is introduced. The existence of such a conditional distribution is proved under standard regularity conditions concerning the measurable spaces involved.
Year of publication: |
2013
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---|---|
Authors: | Nogales, A.G. |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 83.2013, 3, p. 891-897
|
Publisher: |
Elsevier |
Subject: | Markov kernel | Regular conditional probability | Independence |
Saved in:
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