List questions from conditional-expectation

Published on 12 Apr 2026 - 23:01

155

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What can one say about the ratio $E[\mathrm{Var}[X\mid \mathcal H]]/E[\mathrm{Var}[X\mid \mathcal G]]$ if $ \mathcal G\subseteq \mathcal H$?

Published on 12 Apr 2026 - 8:35

65

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Given that $\operatorname{E}[Y\mid X] = 1$, show that $\operatorname{Var}(XY)\geqslant\operatorname{Var}(X)$

Published on 03 Apr 2026 - 16:49

614

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Conditional expectation of standard random walk conditioned on its position at a given future time

Published on 12 Apr 2026 - 11:14

282

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two random variables and conditional expectation

Published on 11 Apr 2026 - 20:12

260

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Conditional mean of normally distributed variable given several normally distributed signals.

Published on 12 Apr 2026 - 3:42

678

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One step analysis in Poisson Processes

Published on 11 Apr 2026 - 17:20

1.2k

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Conditional Expectation of Random Sum of Random Variables

Published on 13 Apr 2026 - 2:40

96

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Conditional Expectation involving $\sigma$-algebras

Published on 03 Apr 2026 - 16:54

66

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$E[\theta|x_1,x_2]=E[\theta|x_1]+E[\theta|x_2]$

Published on 31 Oct 2017 - 7:21

78

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Step in proof $E_\theta T^*=E_\theta T$ of Rao-Blackwell

Published on 09 Apr 2026 - 16:47

42

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A notation about conditional expectation

Published on 11 Apr 2026 - 13:16

1.6k

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Conditional Expectation and the Tower Law

Published on 31 Oct 2017 - 16:16

389

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Property of conditional expectation ( symmetry )

Published on 09 Apr 2026 - 16:29

116

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Conditional expectation as a random variable new

Published on 26 Mar 2026 - 19:23

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Need help prooving a conditional expectation identity [solved]

What can one say about the ratio $E[\mathrm{Var}[X\mid \mathcal H]]/E[\mathrm{Var}[X\mid \mathcal G]]$ if $ \mathcal G\subseteq \mathcal H$?

Given that $\operatorname{E}[Y\mid X] = 1$, show that $\operatorname{Var}(XY)\geqslant\operatorname{Var}(X)$

Conditional expectation of standard random walk conditioned on its position at a given future time

two random variables and conditional expectation

Conditional mean of normally distributed variable given several normally distributed signals.

One step analysis in Poisson Processes

Conditional Expectation of Random Sum of Random Variables

Conditional Expectation involving $\sigma$-algebras

$E[\theta|x_1,x_2]=E[\theta|x_1]+E[\theta|x_2]$

Step in proof $E_\theta T^*=E_\theta T$ of Rao-Blackwell

A notation about conditional expectation

Conditional Expectation and the Tower Law

Property of conditional expectation ( symmetry )

Conditional expectation as a random variable new

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