Question

Does $|x| \leq |y|$ imply $|\mathsf E[x]| \leq |\mathsf E[y]|$?

score 85 · Answer 1 · 2026-04-11 12:38:40

85

Views

Does $|x| \leq |y|$ imply $|\mathsf E[x]| \leq |\mathsf E[y]|$?

Published on 11 Apr 2026 - 12:38

score 101 · Answer 2 · 2026-04-13 04:51:52

101

Views

Does $|\mathsf{E}(xy)|\leq |\mathsf{E}(x)| \cdot |\mathsf{E}(y)|$ hold?

Published on 13 Apr 2026 - 4:51

score 68 · Answer 3 · 2026-04-16 00:34:52

68

Views

Independence of Bernoulli random variables defined by a uniform random number

Published on 16 Apr 2026 - 0:34

score 45 · Answer 4 · 2026-04-16 14:41:51

45

Views

Is there a way to calculate $E\left[\mathrm{sgn}(X)X^n\right]$ if I don't know the pdf for $X$ but I do know the characteristic function?

Published on 16 Apr 2026 - 14:41

score 77 · Answer 5 · 2026-04-14 08:13:43

Computing the expectation of the minimum difference between $0$-th i.i.d. random vaiable and $i$-th random variable where $1 \leq i \leq n$

score 74 · Answer 6 · 2026-04-11 11:59:53

74

Views

Expectation of function of dependent random variables

Published on 11 Apr 2026 - 11:59

score 20 · Answer 7 · 2026-04-11 09:10:11

20

Views

Determining Perfect vs. Imperfect Information in Calculating Expected Value

Published on 11 Apr 2026 - 9:10

score 39 · Answer 8 · 2026-04-10 04:46:20

39

Views

Parsing an expectation problem about daily stock prices

Published on 10 Apr 2026 - 4:46

score 42 · Answer 9 · 2026-04-13 19:24:55

42

Views

What is the expected value of the expected distance of a leaf from the root of a full binary tree?

Published on 13 Apr 2026 - 19:24

score 52 · Answer 10 · 2026-04-13 14:39:49

52

Views

Expected value and variance of the random binary number generator

Published on 13 Apr 2026 - 14:39

score 34 · Answer 11 · 2026-04-09 09:03:05

34

Views

Finding expectation of coordinates in random walk

Published on 09 Apr 2026 - 9:03

score 592 · Answer 12 · 2026-03-24 06:42:59

592

Views

A square contains many random points. From each point, a disc grows until it hits another disc. What proportion of the square is covered by the discs?

Published on 24 Mar 2026 - 6:42

score 61 · Answer 13 · 2026-04-15 10:51:54

61

Views

Expected value of the number of vertices more than 2 edges apart in a random graph

Published on 15 Apr 2026 - 10:51

score 90 · Answer 14 · 2026-04-15 13:13:40

90

Views

sequence of random variables converge to $X$ in probability with all expectation zero, but $\mathbb{E}[X] = \infty$.

Published on 15 Apr 2026 - 13:13

score 127 · Answer 15 · 2026-04-16 00:25:10

127

Views

A square contains many random points. From each point, a disc grows until it hits the nearest neighboring point. What is the total area of the discs?

Published on 16 Apr 2026 - 0:25

List Question

Does $|x| \leq |y|$ imply $|\mathsf E[x]| \leq |\mathsf E[y]|$?

Does $|\mathsf{E}(xy)|\leq |\mathsf{E}(x)| \cdot |\mathsf{E}(y)|$ hold?

Independence of Bernoulli random variables defined by a uniform random number

Is there a way to calculate $E\left[\mathrm{sgn}(X)X^n\right]$ if I don't know the pdf for $X$ but I do know the characteristic function?

Computing the expectation of the minimum difference between $0$-th i.i.d. random vaiable and $i$-th random variable where $1 \leq i \leq n$

Expectation of function of dependent random variables

Determining Perfect vs. Imperfect Information in Calculating Expected Value

Parsing an expectation problem about daily stock prices

What is the expected value of the expected distance of a leaf from the root of a full binary tree?

Expected value and variance of the random binary number generator

Finding expectation of coordinates in random walk

A square contains many random points. From each point, a disc grows until it hits another disc. What proportion of the square is covered by the discs?

Expected value of the number of vertices more than 2 edges apart in a random graph

sequence of random variables converge to $X$ in probability with all expectation zero, but $\mathbb{E}[X] = \infty$.

A square contains many random points. From each point, a disc grows until it hits the nearest neighboring point. What is the total area of the discs?

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