Question

Using Law of Total Variance to find the Variance of Mixture Distribution

score 219 · Answer 1 · 2026-04-01 09:38:15

219

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Using Law of Total Variance to find the Variance of Mixture Distribution

Published on 01 Apr 2026 - 9:38

score 141 · Answer 2 · 2026-03-25 06:27:41

141

Views

Expected (maximum minus minimum) of Laplacian random variables

Published on 25 Mar 2026 - 6:27

score 28 · Answer 3 · 2026-04-09 04:41:57

28

Views

Expectation of minimum growth

Published on 09 Apr 2026 - 4:41

score 28 · Answer 4 · 2023-04-19 10:36:52

28

Views

Joint expectation of independent random variables

Published on 19 Apr 2023 - 10:36

score 89 · Answer 5 · 2023-04-19 14:15:36

89

Views

Find the sum $2\cdot\frac23+4\cdot\frac23\cdot\frac13+6\cdot\frac23\cdot\frac1{3^2}+8\cdot\frac23\cdot\frac1{3^3}+10\cdot\frac23\cdot\frac1{3^4}+...$

Published on 19 Apr 2023 - 14:15

score 71 · Answer 6 · 2026-04-11 14:20:29

71

Views

How to find the bounds of the marginal pdf given joint density bounds?

Published on 11 Apr 2026 - 14:20

score 153 · Answer 7 · 2026-04-11 12:48:57

153

Views

Almost surely convergence of a random variable with bounded expectation

Published on 11 Apr 2026 - 12:48

score 105 · Answer 8 · 2026-03-29 12:05:35

105

Views

Expected value, dispersion and correlation coefficient of losses during the day

Published on 29 Mar 2026 - 12:05

score 72 · Answer 9 · 2026-04-10 21:31:06

72

Views

Why the following integral over $\mathbb{R}$ is considered hard to compute?

Published on 10 Apr 2026 - 21:31

score 61 · Answer 10 · 2026-03-27 17:53:04

61

Views

The expectation of the minimum of two IID binomial distribution Bi(m,1/M) only depends on m/M

Published on 27 Mar 2026 - 17:53

score 50 · Answer 11 · 2026-03-25 23:10:09

50

Views

What is the difference between Expectation and Sum formula for the slope of line in regression?

Published on 25 Mar 2026 - 23:10

score 99 · Answer 12 · 2023-04-22 08:19:12

99

Views

Show that $\mathbb{E}[X^2]< \infty \Longleftrightarrow \sum_{n=1}^{\infty}n\mathbb{P}[|X|>n]< \infty$

Published on 22 Apr 2023 - 8:19

score 25 · Answer 13 · 2026-04-05 17:15:01

25

Views

Deriving the result $\mathbb{E}[Y\mid A=a] = \frac{\mathbb{E}[Y\cdot\mathbf{1}\{A=a\}]}{P(A=a)}$

Published on 05 Apr 2026 - 17:15

score 86 · Answer 14 · 2026-03-26 03:01:44

86

Views

Lower bounding the mean of a quadratic form with a positive semi-definite matrix

Published on 26 Mar 2026 - 3:01

score 59 · Answer 15 · 2023-04-23 07:36:24

59

Views

If $X_n \sim U[0,1]$, $\forall n \in \mathbb{N}$ and $X:=\sum_{n=1}^{\infty} \prod_{i=1}^n X_i$ Show that $\mathbb{E}[X] < \infty$

Published on 23 Apr 2023 - 7:36

List Question

Using Law of Total Variance to find the Variance of Mixture Distribution

Expected (maximum minus minimum) of Laplacian random variables

Expectation of minimum growth

Joint expectation of independent random variables

Find the sum $2\cdot\frac23+4\cdot\frac23\cdot\frac13+6\cdot\frac23\cdot\frac1{3^2}+8\cdot\frac23\cdot\frac1{3^3}+10\cdot\frac23\cdot\frac1{3^4}+...$

How to find the bounds of the marginal pdf given joint density bounds?

Almost surely convergence of a random variable with bounded expectation

Expected value, dispersion and correlation coefficient of losses during the day

Why the following integral over $\mathbb{R}$ is considered hard to compute?

The expectation of the minimum of two IID binomial distribution Bi(m,1/M) only depends on m/M

What is the difference between Expectation and Sum formula for the slope of line in regression?

Show that $\mathbb{E}[X^2]< \infty \Longleftrightarrow \sum_{n=1}^{\infty}n\mathbb{P}[|X|>n]< \infty$

Deriving the result $\mathbb{E}[Y\mid A=a] = \frac{\mathbb{E}[Y\cdot\mathbf{1}\{A=a\}]}{P(A=a)}$

Lower bounding the mean of a quadratic form with a positive semi-definite matrix

If $X_n \sim U[0,1]$, $\forall n \in \mathbb{N}$ and $X:=\sum_{n=1}^{\infty} \prod_{i=1}^n X_i$ Show that $\mathbb{E}[X] < \infty$

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