List questions from conditional-expectation

Published on 03 Apr 2026 - 0:22

49

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Prove $Z_i = \frac{2n-i}{2n-i-1}Y_i^2 - \frac1{2n-i-1} (1 \le i \le 2n-2) $ is a martingale

Published on 03 Apr 2026 - 0:24

56

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Conditional expectation with several conditions

Published on 03 Jul 2023 - 16:36

49

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Computing $\mathbb{E}[X \mid X \land t]$ for exponential$(1)$ random variable $X$

Published on 05 Jul 2023 - 21:37

119

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Conditional Expectation with complete sufficient statistics

Published on 07 Jul 2023 - 11:44

66

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Investigating Discrete Expectation Rigorously

Published on 10 Jul 2023 - 10:00

53

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Is this result about conditional expectation well known?

Published on 11 Jul 2023 - 14:16

114

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Conditional Expectation of Gaussian Vectors

Published on 12 Jul 2023 - 17:52

162

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Calculate expected number of hours to finish large donuts

Published on 13 Jul 2023 - 5:25

216

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Correlation of X and Y, when E[X] = 0

Published on 29 Mar 2026 - 15:32

331

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Martingale Difference Sequence Definition

Published on 03 Apr 2026 - 1:51

111

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Is every measurable function the conditional expectation of some random variable?

Published on 13 Jul 2023 - 23:27

105

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Computing conditional expectation of recursive process

Published on 17 Jul 2023 - 13:23

72

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Characteristic function of a normal variable and conditioning

Published on 17 Jul 2023 - 14:42

47

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Relationship between the conditional expectations of X conditioned on two values of Y.

Published on 19 Jul 2023 - 2:22

List Question

Prove $Y_i = \frac{2X_i-i}{2n-i}, (1\le i \le 2n-1)$ is a martingale

Prove $Z_i = \frac{2n-i}{2n-i-1}Y_i^2 - \frac1{2n-i-1} (1 \le i \le 2n-2) $ is a martingale

Conditional expectation with several conditions

Computing $\mathbb{E}[X \mid X \land t]$ for exponential$(1)$ random variable $X$

Conditional Expectation with complete sufficient statistics

Investigating Discrete Expectation Rigorously

Is this result about conditional expectation well known?

Conditional Expectation of Gaussian Vectors

Calculate expected number of hours to finish large donuts

Correlation of X and Y, when E[X] = 0

Martingale Difference Sequence Definition

Is every measurable function the conditional expectation of some random variable?

Computing conditional expectation of recursive process

Characteristic function of a normal variable and conditioning

Relationship between the conditional expectations of X conditioned on two values of Y.

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