Question

Given joint density $f_{X,Y}(x,y)$ find covariance, correlation, and specific expectations

score 1.9k · Answer 1 · 2019-11-21 19:42:56

1.9k

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Given joint density $f_{X,Y}(x,y)$ find covariance, correlation, and specific expectations

Published on 21 Nov 2019 - 19:42

score 23 · Answer 2 · 2026-03-30 11:37:48

23

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Sum of $n$ independent RV minus $n$ times their mean is martingale

Published on 30 Mar 2026 - 11:37

score 166 · Answer 3 · 2019-11-24 00:02:38

166

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Conditional Expectation, given $N=n$

Published on 24 Nov 2019 - 0:02

score 913 · Answer 4 · 2026-03-25 22:09:20

913

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Expected minimum value of weird coin/card problem?

Published on 25 Mar 2026 - 22:09

score 80 · Answer 5 · 2019-11-24 11:38:40

80

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Expectation of Rayleigh Distribution Conditional, or Given, X Less Than Y

Published on 24 Nov 2019 - 11:38

score 109 · Answer 6 · 2019-11-24 12:39:33

109

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Conditional variance of the convolution of two R.V.?

Published on 24 Nov 2019 - 12:39

score 26 · Answer 7 · 2026-03-29 02:44:43

26

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Conditional Expectation for exponential distribution.

Published on 29 Mar 2026 - 2:44

score 26 · Answer 8 · 2026-03-27 16:26:09

26

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Variance of a Sum of $n$ Variables

Published on 27 Mar 2026 - 16:26

score 33 · Answer 9 · 2019-11-25 10:51:00

33

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Compute the conditional expectation

Published on 25 Nov 2019 - 10:51

score 41 · Answer 10 · 2019-11-25 14:10:08

41

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Where does the extra $1_{X=x_n}$ come in discrete conditional expectation?

Published on 25 Nov 2019 - 14:10

score 177 · Answer 11 · 2026-03-28 19:30:53

177

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$\mathbb E[f(X,Y) \mid \mathfrak B] (\omega) = \mathbb E[f(X(\omega),Y) \mid \mathfrak B] (\omega)$, if $X$ is $\mathfrak B$-mb.

Published on 28 Mar 2026 - 19:30

score 92 · Answer 12 · 2019-11-27 17:39:19

92

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Reduced formula conditional variance

Published on 27 Nov 2019 - 17:39

score 1k · Answer 13 · 2026-02-23 08:27:04

1k

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If we start with $i$ active individuals, what is the expected number after $n$ periods?

Published on 23 Feb 2026 - 8:27

score 478 · Answer 14 · 2019-11-29 07:36:55

478

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Conditional Expectation and Variance inequality

Published on 29 Nov 2019 - 7:36

score 58 · Answer 15 · 2026-03-30 15:05:06

58

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Show $\sum_{n \geq 1}\mathbb{1}_{A_n}(\omega) = \infty$ iff $\sum_{n \geq 1} \mathbb{E}[\mathbb{1}_{A_n}|\mathcal{F}_{n-1}](\omega) = \infty$

Published on 30 Mar 2026 - 15:05

List Question

Given joint density $f_{X,Y}(x,y)$ find covariance, correlation, and specific expectations

Sum of $n$ independent RV minus $n$ times their mean is martingale

Conditional Expectation, given $N=n$

Expected minimum value of weird coin/card problem?

Expectation of Rayleigh Distribution Conditional, or Given, X Less Than Y

Conditional variance of the convolution of two R.V.?

Conditional Expectation for exponential distribution.

Variance of a Sum of $n$ Variables

Compute the conditional expectation

Where does the extra $1_{X=x_n}$ come in discrete conditional expectation?

$\mathbb E[f(X,Y) \mid \mathfrak B] (\omega) = \mathbb E[f(X(\omega),Y) \mid \mathfrak B] (\omega)$, if $X$ is $\mathfrak B$-mb.

Reduced formula conditional variance

If we start with $i$ active individuals, what is the expected number after $n$ periods?

Conditional Expectation and Variance inequality

Show $\sum_{n \geq 1}\mathbb{1}_{A_n}(\omega) = \infty$ iff $\sum_{n \geq 1} \mathbb{E}[\mathbb{1}_{A_n}|\mathcal{F}_{n-1}](\omega) = \infty$

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