Question

If $\mathbb E [ |X-Y|^2 ] < +\infty$ then both $X$ and $Y$ have finite second-moments

score 41 · Answer 1 · 2023-03-01 15:16:15

41

Views

If $\mathbb E [ |X-Y|^2 ] < +\infty$ then both $X$ and $Y$ have finite second-moments

Published on 01 Mar 2023 - 15:16

score 42 · Answer 2 · 2023-03-01 15:35:21

42

Views

How to show $\mathbb{E}[\frac{X}{X+Y}] = 1/2$ when X and Y are identically distributed but not necessarily independent.

Published on 01 Mar 2023 - 15:35

score 246 · Answer 3 · 2023-03-01 15:54:55

246

Views

Expected average of differences between two points in a uniform distribution

Published on 01 Mar 2023 - 15:54

score 315 · Answer 4 · 2023-03-01 17:19:44

315

Views

The mathematical problem with beer

Published on 01 Mar 2023 - 17:19

score 58 · Answer 5 · 2026-04-02 20:56:17

58

Views

Expectation of $S$ where $S=\sum_{i=1}^{n}y_{i}$

Published on 02 Apr 2026 - 20:56

score 65 · Answer 6 · 2026-04-01 01:19:57

65

Views

Solving the variance of a compound pdf

Published on 01 Apr 2026 - 1:19

score 52 · Answer 7 · 2026-04-09 06:05:07

52

Views

How do I calculate this expectation?

Published on 09 Apr 2026 - 6:05

score 69 · Answer 8 · 2026-04-09 11:42:50

69

Views

Showing that randomness is undesired for prediction accuracy

Published on 09 Apr 2026 - 11:42

score 69 · Answer 9 · 2023-03-05 08:21:34

69

Views

How $\varphi (s)=0$ in this paper about stochastic processes?

Published on 05 Mar 2023 - 8:21

score 141 · Answer 10 · 2026-02-23 11:54:02

141

Views

Derivation of expected value of sample variance

Published on 23 Feb 2026 - 11:54

score 104 · Answer 11 · 2026-03-27 22:57:30

104

Views

Proof of Helly Bray theorem: $X_n\overset{d}{\rightarrow}X\Leftrightarrow Eg(X_n)\rightarrow Eg(X)$ for bounded continuous $g$

Published on 27 Mar 2026 - 22:57

score 91 · Answer 12 · 2026-03-26 02:54:24

91

Views

Relation between $g(\mathbb{E}[X])$ and $\mathbb{E}[g(X)]$ when $g(X)=\frac{X}{1-X}$ is the "odds" function

Published on 26 Mar 2026 - 2:54

score 670 · Answer 13 · 2023-03-06 04:15:54

670

Views

Let X and Y be jointly normal random variables with $X,Y \sim N(0, 1)$ and correlation 1/2. Eval $\mathbb{E}\left[ e^{X} \ | \ Y=1 \right]$

Published on 06 Mar 2023 - 4:15

score 89 · Answer 14 · 2026-03-26 09:40:21

89

Views

How does the expected value change in a lottery when one stops playing after winning?

Published on 26 Mar 2026 - 9:40

score 56 · Answer 15 · 2026-03-29 20:38:43

56

Views

Mean position $\langle X\rangle$ and Squared mean position $\langle X^2\rangle$ for a 1D random walk.

Published on 29 Mar 2026 - 20:38

List Question

If $\mathbb E [ |X-Y|^2 ] < +\infty$ then both $X$ and $Y$ have finite second-moments

How to show $\mathbb{E}[\frac{X}{X+Y}] = 1/2$ when X and Y are identically distributed but not necessarily independent.

Expected average of differences between two points in a uniform distribution

The mathematical problem with beer

Expectation of $S$ where $S=\sum_{i=1}^{n}y_{i}$

Solving the variance of a compound pdf

How do I calculate this expectation?

Showing that randomness is undesired for prediction accuracy

How $\varphi (s)=0$ in this paper about stochastic processes?

Derivation of expected value of sample variance

Proof of Helly Bray theorem: $X_n\overset{d}{\rightarrow}X\Leftrightarrow Eg(X_n)\rightarrow Eg(X)$ for bounded continuous $g$

Relation between $g(\mathbb{E}[X])$ and $\mathbb{E}[g(X)]$ when $g(X)=\frac{X}{1-X}$ is the "odds" function

Let X and Y be jointly normal random variables with $X,Y \sim N(0, 1)$ and correlation 1/2. Eval $\mathbb{E}\left[ e^{X} \ | \ Y=1 \right]$

How does the expected value change in a lottery when one stops playing after winning?

Mean position $\langle X\rangle$ and Squared mean position $\langle X^2\rangle$ for a 1D random walk.

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