Question

How to evaluate $\mathrm{Cov}(\vec x^T A \vec x,\vec x^T B \vec x )$ for $\vec x\sim N(\vec 0, \Sigma)$ and square matrices $A,B$?

score 108 · Answer 1 · 2026-04-17 05:55:27

108

Views

How to evaluate $\mathrm{Cov}(\vec x^T A \vec x,\vec x^T B \vec x )$ for $\vec x\sim N(\vec 0, \Sigma)$ and square matrices $A,B$?

Published on 17 Apr 2026 - 5:55

score 180 · Answer 2 · 2026-04-12 18:50:17

180

Views

Inequality of independent random variables.

Published on 12 Apr 2026 - 18:50

score 4k · Answer 3 · 2026-04-13 09:54:14

4k

Views

Fisher's information of normal distribution

Published on 13 Apr 2026 - 9:54

score 110 · Answer 4 · 2026-04-11 20:26:33

110

Views

What is the expected value of this random variable?

Published on 11 Apr 2026 - 20:26

score 40 · Answer 5 · 2026-04-14 22:24:13

40

Views

Expected number of $1$s in a "similarity matrix"

Published on 14 Apr 2026 - 22:24

score 442 · Answer 6 · 2026-03-28 17:41:17

442

Views

A simple upper bound of expectation number of cycles in a random directed graph $G(n,p)$?

Published on 28 Mar 2026 - 17:41

score 154 · Answer 7 · 2026-04-08 22:53:00

154

Views

Expected Value where finite outcomes are random variables

Published on 08 Apr 2026 - 22:53

score 50 · Answer 8 · 2026-04-16 18:46:45

50

Views

Proof for $\sup\limits_{i_1,i_2,...i_j}|E(X_{i_1}X_{i_2}...X_{i_j})| = E(|X_{1}|^j)$

Published on 16 Apr 2026 - 18:46

score 158 · Answer 9 · 2026-04-13 05:02:12

158

Views

Implications of law of iterated expectation

Published on 13 Apr 2026 - 5:02

score 3.5k · Answer 10 · 2026-04-15 11:55:22

3.5k

Views

Variance of squared sum of i.i.d random variables

Published on 15 Apr 2026 - 11:55

score 45 · Answer 11 · 2026-04-09 01:11:30

45

Views

expectation of product between constant

Published on 09 Apr 2026 - 1:11

score 1k · Answer 12 · 2026-04-16 05:21:00

1k

Views

Expected value of X given its p.m.f and $Y=X^2-1$

Published on 16 Apr 2026 - 5:21

score 58 · Answer 13 · 2026-04-11 18:24:11

58

Views

Mean of a given distribution

Published on 11 Apr 2026 - 18:24

score 195 · Answer 14 · 2026-04-12 06:11:40

195

Views

Let $X$ be a continuous random variable with probability density function $f(x)$ and $a$ be a constant with $y=g(x)=a$. ..

Published on 12 Apr 2026 - 6:11

score 1.3k · Answer 15 · 2026-04-09 17:12:12

1.3k

Views

Expectation value of the sum of two probability density functions

Published on 09 Apr 2026 - 17:12

List Question

How to evaluate $\mathrm{Cov}(\vec x^T A \vec x,\vec x^T B \vec x )$ for $\vec x\sim N(\vec 0, \Sigma)$ and square matrices $A,B$?

Inequality of independent random variables.

Fisher's information of normal distribution

What is the expected value of this random variable?

Expected number of $1$s in a "similarity matrix"

A simple upper bound of expectation number of cycles in a random directed graph $G(n,p)$?

Expected Value where finite outcomes are random variables

Proof for $\sup\limits_{i_1,i_2,...i_j}|E(X_{i_1}X_{i_2}...X_{i_j})| = E(|X_{1}|^j)$

Implications of law of iterated expectation

Variance of squared sum of i.i.d random variables

expectation of product between constant

Expected value of X given its p.m.f and $Y=X^2-1$

Mean of a given distribution

Let $X$ be a continuous random variable with probability density function $f(x)$ and $a$ be a constant with $y=g(x)=a$. ..

Expectation value of the sum of two probability density functions

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