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Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.

4 votes

Conditional probabilities are measurable functions - when are they continuous?

Tue Tjur studied the existence of continuous disintegrations in a 1975 preprint "A Constructive Definition of Conditional Distributions," Issue 13, Copenhagen Universitet. He gives necessary and suff …
Daniel Roy's user avatar
9 votes

Disintegrations are measurable measures - when are they continuous?

Tue Tjur studied the existence of continuous disintegrations in a 1975 preprint "A Constructive Definition of Conditional Distributions," Issue 13, Copenhagen Universitet. He gives necessary and suff …
Daniel Roy's user avatar