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

2 votes
2 answers
1k views

Intution behind conditional expectation when sigma algebra isn't generated by a partition

I'm struggling with the concept of conditional expectation, when the sigma algebra on which it is conditioned isn't generated by a partition. If $(\Omega,\mathcal{F},P)$ is a probability field such t …
Adwaitvedant Mathkar's user avatar
0 votes
1 answer
434 views

Why are simple functions defined for positive coefficients (in measure theory) [duplicate]

Possible Duplicate: Why is Lebesgue integration taught using positive and negative parts of functions? Hey, I am currently referring 'probability with martingales'. To develop lesbegue integ …
Adwaitvedant Mathkar's user avatar