List questions from conditional-expectation

Published on 12 Apr 2026 - 11:24

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Find a quadratic function that respect these 3 conditions

Published on 15 Apr 2026 - 8:16

406

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Conditional expectation and conditional variance

Published on 12 Apr 2026 - 23:58

229

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Why $\mathbb{E}[X\mid \sigma(\mathcal{H},\mathcal{E})]=\mathbb{E}[X\mid \mathcal{H}]$?

Published on 14 Apr 2026 - 11:30

46

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Find $E\left(\frac{2X}{(Y+1)^2}\right)$ For $Y\sim \operatorname{Pois}(1)$ and $E(X\mid Y)=\frac{Y+1}{2}$

Published on 14 Apr 2026 - 23:10

102

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Martingale $Y_n$ does it converge as $n \to \infty$ proof or counterexample.

Published on 14 Apr 2026 - 19:58

495

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Brownian motion conditional on the future

Published on 12 Apr 2026 - 17:46

146

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Is there an analogue to the product measure construction for conditional independence?

Published on 13 Apr 2026 - 6:36

45

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Can we always write $Z=E(Z|X)+E(Z|Y)+\varepsilon$ where $E(\varepsilon|X)=E(\varepsilon|Y)=0$?

Published on 14 Apr 2026 - 15:29

289

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Bayesian iterated expectation

Published on 10 Apr 2026 - 16:28

309

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What is $\mathbb{E}\!\left(X^2 \mid X + 2Y \right)$ if $X,Y \sim \mathcal{U}\left(\left[-1,1\right]\right)$ independently?

Published on 04 Apr 2026 - 8:42

58

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Conditional expectation with coins

Published on 11 Apr 2026 - 18:25

136

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How can we compute this conditional expectation?

Published on 12 Apr 2026 - 16:20

61

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Constructing a random variable $Y$ whose values are $\pm 1$ with conditional expectation $\mathbb E[Y|X] = X$

Published on 12 Apr 2026 - 1:19

834

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Variance of Conditional Variance

Published on 15 Apr 2026 - 5:43

List Question

Curie-Weiss probability and expected value distribution?

Find a quadratic function that respect these 3 conditions

Conditional expectation and conditional variance

Why $\mathbb{E}[X\mid \sigma(\mathcal{H},\mathcal{E})]=\mathbb{E}[X\mid \mathcal{H}]$?

Find $E\left(\frac{2X}{(Y+1)^2}\right)$ For $Y\sim \operatorname{Pois}(1)$ and $E(X\mid Y)=\frac{Y+1}{2}$

Martingale $Y_n$ does it converge as $n \to \infty$ proof or counterexample.

Brownian motion conditional on the future

Is there an analogue to the product measure construction for conditional independence?

Can we always write $Z=E(Z|X)+E(Z|Y)+\varepsilon$ where $E(\varepsilon|X)=E(\varepsilon|Y)=0$?

Bayesian iterated expectation

What is $\mathbb{E}\!\left(X^2 \mid X + 2Y \right)$ if $X,Y \sim \mathcal{U}\left(\left[-1,1\right]\right)$ independently?

Conditional expectation with coins

How can we compute this conditional expectation?

Constructing a random variable $Y$ whose values are $\pm 1$ with conditional expectation $\mathbb E[Y|X] = X$

Variance of Conditional Variance

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