List questions from random-variables

Published on 07 May 2026 - 14:20

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Expectations of absolute values

Published on 11 Apr 2026 - 16:08

271

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Variance of sum of $2n$ random variables.

Published on 30 Apr 2026 - 4:58

116

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Correlation of all zero rows and columns in matrix

Published on 06 May 2026 - 8:16

120

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

Published on 05 May 2026 - 16:24

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

Published on 10 May 2026 - 11:20

228

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

Published on 07 May 2026 - 10:09

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 10 May 2026 - 11:06

34

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Differences in random variables and estimating second moments

Published on 14 Apr 2026 - 10:03

92

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

Published on 29 Apr 2026 - 12:27

80

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

Published on 30 Apr 2026 - 20:39

53

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Using Chebychev's inequality

Published on 16 Apr 2026 - 5:43

40

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Using Probabilistic argument to show an inequality

Published on 12 Apr 2026 - 18:53

66

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

Published on 10 May 2026 - 12:17

1.2k

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

Published on 16 Apr 2026 - 13:55

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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