List questions from conditional-expectation

Published on 20 Jul 2016 - 3:05

1k

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Define the function $g (y) = E[f(X,y)]$. Show that $g$ is Borel-measurable, and that $E[f (X,Y)|Y=y] = g(y)$

Published on 21 Jul 2016 - 3:27

562

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Trying to understand $\mathbb E[X\mid \mathcal F]$ and Martingale concept

Published on 01 Apr 2026 - 12:55

90

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Is expectation finite almost surely or not almost surely?

Published on 01 Apr 2026 - 12:55

37

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Proof that $\mathbb{E}(|y_n|) <\infty$?

Published on 01 Apr 2026 - 12:47

525

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Conditional expectation and variance of exponential distributions

Published on 25 Jul 2016 - 4:13

41

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Detailed explanation needed for basic query regarding expectation

Published on 30 Mar 2026 - 17:15

133

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For $X,Y $ random variables, $h $ a function, show that $E (Xh(Y)|Y)=h (Y)E (X|Y) $ almost surely

Published on 25 Jul 2016 - 18:49

338

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What is the expectation of $X$ given $XY > \alpha$

Published on 26 Jul 2016 - 19:35

1.4k

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Conditional expectation of the product of two random variables

Published on 27 Jul 2016 - 9:04

149

Views

expectation of X only given conditional pdf

Published on 29 Jul 2016 - 7:32

111

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Conditional Expecation of a function of independent random variables

Published on 27 Mar 2026 - 9:56

314

Views

Expected value of a function of a uniform and a exponential

Published on 08 Aug 2016 - 18:43

10k

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Conditional expectation of uniform distribution

Published on 30 Mar 2026 - 3:18

164

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How to show $\mathbb{E}[AB\mid B]=B\cdot\mathbb{E}[A\mid B]$?

Published on 12 Aug 2016 - 21:38

List Question

Conditional Expectation

Define the function $g (y) = E[f(X,y)]$. Show that $g$ is Borel-measurable, and that $E[f (X,Y)|Y=y] = g(y)$

Trying to understand $\mathbb E[X\mid \mathcal F]$ and Martingale concept

Is expectation finite almost surely or not almost surely?

Proof that $\mathbb{E}(|y_n|) <\infty$?

Conditional expectation and variance of exponential distributions

Detailed explanation needed for basic query regarding expectation

For $X,Y $ random variables, $h $ a function, show that $E (Xh(Y)|Y)=h (Y)E (X|Y) $ almost surely

What is the expectation of $X$ given $XY > \alpha$

Conditional expectation of the product of two random variables

expectation of X only given conditional pdf

Conditional Expecation of a function of independent random variables

Expected value of a function of a uniform and a exponential

Conditional expectation of uniform distribution

How to show $\mathbb{E}[AB\mid B]=B\cdot\mathbb{E}[A\mid B]$?

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