Question

Compute $E[a\cdot b|a \geq 0, b \geq 0]$ if $(a,b)$ is centered, jointly normal, with known covariance

score 54 · Answer 1 · 2026-03-25 12:27:20

54

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Compute $E[a\cdot b|a \geq 0, b \geq 0]$ if $(a,b)$ is centered, jointly normal, with known covariance

Published on 25 Mar 2026 - 12:27

score 1k · Answer 2 · 2026-04-01 15:48:11

1k

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Conditional Expectation to a non integrable Random Variable

Published on 01 Apr 2026 - 15:48

score 138 · Answer 3 · 2016-12-12 14:01:35

138

Views

Conditional expectation with respect to sigma algebra

Published on 12 Dec 2016 - 14:01

score 291 · Answer 4 · 2016-12-12 19:06:59

291

Views

Law of iterated expectations given inequality

Published on 12 Dec 2016 - 19:06

score 1k · Answer 5 · 2026-04-01 22:43:02

1k

Views

Martingale from the symmetric random walk.

Published on 01 Apr 2026 - 22:43

score 168 · Answer 6 · 2026-04-01 17:25:31

168

Views

Is the conditional expectation $E[ax^2-a\mid bx^2-b]=0$? where $x$ is a standard Gaussian variable.

Published on 01 Apr 2026 - 17:25

score 460 · Answer 7 · 2026-03-28 12:32:46

460

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If $\{X_n\}$ is an i.i.d. sequence of integrable random variables and $S_n=\sum_{i=1}^n X_i$, then $E[X_1|S_n,S_{n+1},\ldots]=\frac{S_n}{n}$.

Published on 28 Mar 2026 - 12:32

score 520 · Answer 8 · 2016-12-14 21:40:13

520

Views

$P(U_1+U_2 > U_3)$ with $U_i$ iid $U[0,1]$

Published on 14 Dec 2016 - 21:40

score 84 · Answer 9 · 2026-04-01 17:22:36

84

Views

Conditional Expectation and covariance

Published on 01 Apr 2026 - 17:22

score 190 · Answer 10 · 2026-03-29 14:54:34

190

Views

Conditional Expectation depending on two processes

Published on 29 Mar 2026 - 14:54

score 2k · Answer 11 · 2026-04-03 08:43:09

2k

Views

Help with the probability generating function for a conditional distribution.

Published on 03 Apr 2026 - 8:43

score 855 · Answer 12 · 2016-12-17 13:55:18

855

Views

If $F$ is a $\sigma$ -algebra generated by a countable partition, what is $E(X|F)$ for a random variable $X$?

Published on 17 Dec 2016 - 13:55

score 33 · Answer 13 · 2016-12-21 21:12:23

33

Views

Conditional expectation of depended random variables

Published on 21 Dec 2016 - 21:12

score 71 · Answer 14 · 2026-04-01 19:04:32

71

Views

Expectation of a random variable over the variable's conditional value.

Published on 01 Apr 2026 - 19:04

score 40 · Answer 15 · 2016-12-22 07:08:27

40

Views

Is this statement similar to law of total expectations true?

Published on 22 Dec 2016 - 7:08

List Question

Compute $E[a\cdot b|a \geq 0, b \geq 0]$ if $(a,b)$ is centered, jointly normal, with known covariance

Conditional Expectation to a non integrable Random Variable

Conditional expectation with respect to sigma algebra

Law of iterated expectations given inequality

Martingale from the symmetric random walk.

Is the conditional expectation $E[ax^2-a\mid bx^2-b]=0$? where $x$ is a standard Gaussian variable.

If $\{X_n\}$ is an i.i.d. sequence of integrable random variables and $S_n=\sum_{i=1}^n X_i$, then $E[X_1|S_n,S_{n+1},\ldots]=\frac{S_n}{n}$.

$P(U_1+U_2 > U_3)$ with $U_i$ iid $U[0,1]$

Conditional Expectation and covariance

Conditional Expectation depending on two processes

Help with the probability generating function for a conditional distribution.

If $F$ is a $\sigma$ -algebra generated by a countable partition, what is $E(X|F)$ for a random variable $X$?

Conditional expectation of depended random variables

Expectation of a random variable over the variable's conditional value.

Is this statement similar to law of total expectations true?

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