List questions from conditional-expectation

Published on 25 Mar 2026 - 8:12

50

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Let $X,Y\sim U(0,1)$ and suppose $X$ and $Y$ Are independent. How to find explicitly the distribution of $Z=XY$ Using conditional expectation?

Published on 25 May 2020 - 20:57

197

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Given a sequence of i.i.d. random variables, prove a result involving conditional expectation by means of symmetry argument

Published on 27 Mar 2026 - 11:48

41

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Is it true that $\mathbb{E}\{X\}=\mathbb{E}\{Y\}$ $\Rightarrow$ $\mathbb{E}\{X|\mathcal{F}\}=\mathbb{E}\{Y|\mathcal{F}\}$?

Published on 26 May 2020 - 10:04

55

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Is it true that $\mathbb{E}\{X_n\}=\mathbb{E}\{X_m\}\Rightarrow\mathbb{E}\{X_n|\mathcal{F}_m\}=\mathbb{E}\{X_m|\mathcal{F}_m\}=X_m$?

Published on 26 Mar 2026 - 4:32

71

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Why do E(X|Y)=Y and E(Y|X)=X imply P(X=Y)=1?

Published on 27 May 2020 - 6:56

276

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The conditional expectation of i.i.d. random variables

Published on 01 Apr 2026 - 4:36

135

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Where is the mistake with this conditional expectation calculation?

Published on 29 May 2020 - 18:31

48

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Conditional Expectation of A Normal R.V. on a Discrete Variable

Published on 31 May 2020 - 21:06

1k

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Mean of the Geometric random variable

Published on 01 Jun 2020 - 5:57

121

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Conditional expectation of poisson procces problem

Published on 27 Mar 2026 - 15:11

29

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How would you obtain (not prove) this equality regarding conditional probability?

Published on 02 Jun 2020 - 4:44

781

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Question on the use of the Markov Kernel for conditional probability

Published on 02 Jun 2020 - 22:13

395

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Conditional expectation of markov chain

Published on 03 Jun 2020 - 2:56

89

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Describe all martingales that only take values in $\{−1, 0, 1\}$.

Published on 01 Apr 2026 - 6:07

List Question

Could a limiting result (in terms of convergence) imply an equivalence relation?

Let $X,Y\sim U(0,1)$ and suppose $X$ and $Y$ Are independent. How to find explicitly the distribution of $Z=XY$ Using conditional expectation?

Given a sequence of i.i.d. random variables, prove a result involving conditional expectation by means of symmetry argument

Is it true that $\mathbb{E}\{X\}=\mathbb{E}\{Y\}$ $\Rightarrow$ $\mathbb{E}\{X|\mathcal{F}\}=\mathbb{E}\{Y|\mathcal{F}\}$?

Is it true that $\mathbb{E}\{X_n\}=\mathbb{E}\{X_m\}\Rightarrow\mathbb{E}\{X_n|\mathcal{F}_m\}=\mathbb{E}\{X_m|\mathcal{F}_m\}=X_m$?

Why do E(X|Y)=Y and E(Y|X)=X imply P(X=Y)=1?

The conditional expectation of i.i.d. random variables

Where is the mistake with this conditional expectation calculation?

Conditional Expectation of A Normal R.V. on a Discrete Variable

Mean of the Geometric random variable

Conditional expectation of poisson procces problem

How would you obtain (not prove) this equality regarding conditional probability?

Question on the use of the Markov Kernel for conditional probability

Conditional expectation of markov chain

Describe all martingales that only take values in $\{−1, 0, 1\}$.

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