List questions from random-variables

Published on 19 Mar 2026 - 23:11

41

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Expectations of absolute values

Published on 30 Jan 2018 - 8:12

266

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Variance of sum of $2n$ random variables.

Published on 20 Mar 2026 - 9:16

107

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Correlation of all zero rows and columns in matrix

Published on 22 Mar 2026 - 20:15

113

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Why do we use a sequence of random variables to model Univariate Time Series?

Published on 20 Mar 2026 - 8:48

13.6k

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why is the PDF of the sum of two continuous random variables the convolution of the PDF's?

Published on 25 Mar 2026 - 15:04

220

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How should I think of the uniform distribution on the sphere?

Published on 20 Mar 2026 - 6:20

2.8k

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Show that $\operatorname{Cov}(X,X^2)=0$ if X is a continuous random variable with symmetric distribution around the origin

Published on 22 Mar 2026 - 18:47

31

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Differences in random variables and estimating second moments

Published on 30 Jan 2018 - 21:24

85

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$X,Y \sim Exp(1), X \perp Y$, joint density of $V = X, U = X/Y$

Published on 22 Mar 2026 - 10:24

70

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prove that $E(Y) = 0$ if $X$ is a random variable and $Y = x- E(x)$

Published on 23 Mar 2026 - 11:30

49

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Using Chebychev's inequality

Published on 25 Mar 2026 - 15:45

37

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Using Probabilistic argument to show an inequality

Published on 01 Feb 2018 - 1:21

60

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Show that $p\mapsto ||X||_p$ is nondecreasing for $p\in (0,\infty]$

Published on 24 Mar 2026 - 20:32

1.2k

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4 People 4 Hats, probably exactly 0,1,2,3,4 get their hats back

Published on 25 Mar 2026 - 3:07

List Question

Mean and Variance of Random Sum of Random Variables

Expectations of absolute values

Variance of sum of $2n$ random variables.

Correlation of all zero rows and columns in matrix

Why do we use a sequence of random variables to model Univariate Time Series?

why is the PDF of the sum of two continuous random variables the convolution of the PDF's?

How should I think of the uniform distribution on the sphere?

Show that $\operatorname{Cov}(X,X^2)=0$ if X is a continuous random variable with symmetric distribution around the origin

Differences in random variables and estimating second moments

$X,Y \sim Exp(1), X \perp Y$, joint density of $V = X, U = X/Y$

prove that $E(Y) = 0$ if $X$ is a random variable and $Y = x- E(x)$

Using Chebychev's inequality

Using Probabilistic argument to show an inequality

Show that $p\mapsto ||X||_p$ is nondecreasing for $p\in (0,\infty]$

4 People 4 Hats, probably exactly 0,1,2,3,4 get their hats back

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