List questions from conditional-expectation

Published on 17 Apr 2026 - 11:58

111

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$X=\mathbb{E}[X\mid\mathcal{F}] $ implying $\mathcal{F}$-measurability of $X$

Published on 15 Apr 2026 - 2:24

339

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E[E[A|B]|C], law of total expectation with two conditional expectations

Published on 11 Apr 2026 - 1:12

173

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Two fair dice roll. Lower score discarded. In case of tie, either die is discarded. Compute the mean value of the remaining number

Published on 16 Apr 2026 - 5:39

120

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Estimate to arrive at $\mathbb{E}[(|X^{i}_t|+\frac{1}{N}\sum_{j=1}^N|X^j_t|)^q\mid X_0^{i}=x]\leq C x^q$

Published on 17 Apr 2026 - 12:18

98

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Conditional expectation of one random variable

Published on 12 Apr 2026 - 5:51

925

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Efron-Stein Inequality proof clarification.

Published on 10 Apr 2026 - 15:48

498

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On the requirements of the Jensen inequality for conditional expectation

Published on 14 Apr 2026 - 2:07

84

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Conditional expectation of uniform given normal

Published on 13 Apr 2026 - 17:38

187

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Question about how to use martingale decomposition to bound the variance of a random variable.

Published on 12 Apr 2026 - 13:22

72

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Expectation of an Expectation

Published on 11 Apr 2026 - 5:19

116

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expectation on different steps

Published on 11 Apr 2026 - 12:00

69

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Intuitive Difference between posterior variance $V(Y|X)$ and variance of conditional expectation $V(E(Y|X))$

Published on 15 Apr 2026 - 15:59

366

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Conditional expectation given sum

Published on 11 Apr 2026 - 6:54

124

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Conditional expectation of second order statistic

Published on 14 Apr 2026 - 3:11

List Question

Prove that two random variables are equal almost surely

$X=\mathbb{E}[X\mid\mathcal{F}] $ implying $\mathcal{F}$-measurability of $X$

E[E[A|B]|C], law of total expectation with two conditional expectations

Two fair dice roll. Lower score discarded. In case of tie, either die is discarded. Compute the mean value of the remaining number

Estimate to arrive at $\mathbb{E}[(|X^{i}_t|+\frac{1}{N}\sum_{j=1}^N|X^j_t|)^q\mid X_0^{i}=x]\leq C x^q$

Conditional expectation of one random variable

Efron-Stein Inequality proof clarification.

On the requirements of the Jensen inequality for conditional expectation

Conditional expectation of uniform given normal

Question about how to use martingale decomposition to bound the variance of a random variable.

Expectation of an Expectation

expectation on different steps

Intuitive Difference between posterior variance $V(Y|X)$ and variance of conditional expectation $V(E(Y|X))$

Conditional expectation given sum

Conditional expectation of second order statistic

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