List questions from conditional-expectation

Published on 11 Oct 2019 - 12:27

71

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Equality on the definition of conditional expectation

Published on 12 Oct 2019 - 13:06

876

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Expectation of the Radon-Nikodym derivative

Published on 23 Feb 2026 - 10:03

461

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Why is the expected value of the truncated normal distribution $E(x|x>a) = \mu + \sigma \frac{\phi(\alpha)}{1 -\Phi(\alpha)}$?

Published on 15 Oct 2019 - 13:00

299

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Recursive martingale

Published on 30 Mar 2026 - 6:26

32

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want to show $E({(X - E(X| \mathcal{F} )}^2) + E({(E(X| \mathcal{F} ) - E(X| \mathcal{G} )}^2) = E({(X - E(X| \mathcal{G})}^2) $

Published on 16 Oct 2019 - 2:49

69

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What's the expectation of the number of times of a loop being fully covered

Published on 16 Oct 2019 - 14:03

388

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Conditional Expectation and Craps Bet

Published on 18 Oct 2019 - 3:34

24

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Under which conditions does the linear least square regression equal conditional mathematical expectations?

Published on 29 Mar 2026 - 13:40

320

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Conditional Expectation of $XY$ given $X^2+Y^2$

Published on 21 Oct 2019 - 0:34

100

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Pointwise approximation of a nested function by simple functions

Published on 21 Oct 2019 - 7:22

59

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Expected value of the following players’ scores?

Published on 22 Oct 2019 - 2:44

42

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Is it true that $\int_\mathcal{X}\int_\mathcal{Z} \eta(x,z)d\mathbb{P}_{f(x,Y)}(z)d\mathbb{P}_X(x)=\mathbb{E}_\mathbb{P}(\eta(X,f(X,Y))?$

Published on 23 Oct 2019 - 15:44

103

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Covariance and expectation of joint continuous random variables

Published on 29 Mar 2026 - 23:24

72

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$X \sim\operatorname{Exp}(1/2), Y \sim\operatorname{ Exp}(1) $ Given $Z$ find $E[Y|Z], V[Y|Z]$

Published on 26 Mar 2026 - 22:18

List Question

Building expectations recursively

Equality on the definition of conditional expectation

Expectation of the Radon-Nikodym derivative

Why is the expected value of the truncated normal distribution $E(x|x>a) = \mu + \sigma \frac{\phi(\alpha)}{1 -\Phi(\alpha)}$?

Recursive martingale

want to show $E({(X - E(X| \mathcal{F} )}^2) + E({(E(X| \mathcal{F} ) - E(X| \mathcal{G} )}^2) = E({(X - E(X| \mathcal{G})}^2) $

What's the expectation of the number of times of a loop being fully covered

Conditional Expectation and Craps Bet

Under which conditions does the linear least square regression equal conditional mathematical expectations?

Conditional Expectation of $XY$ given $X^2+Y^2$

Pointwise approximation of a nested function by simple functions

Expected value of the following players’ scores?

Is it true that $\int_\mathcal{X}\int_\mathcal{Z} \eta(x,z)d\mathbb{P}_{f(x,Y)}(z)d\mathbb{P}_X(x)=\mathbb{E}_\mathbb{P}(\eta(X,f(X,Y))?$

Covariance and expectation of joint continuous random variables

$X \sim\operatorname{Exp}(1/2), Y \sim\operatorname{ Exp}(1) $ Given $Z$ find $E[Y|Z], V[Y|Z]$

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