Question

Given a random variable $X \in R$ with zero mean and covariance matrix $\Sigma$. What is the mean of $Z=X^{T}X$?

score 60 · Answer 1 · 2017-11-16 10:06:58

60

Views

Given a random variable $X \in R$ with zero mean and covariance matrix $\Sigma$. What is the mean of $Z=X^{T}X$?

Published on 16 Nov 2017 - 10:06

score 198 · Answer 2 · 2017-11-18 18:13:45

198

Views

Prove $E[g(X,Y)|X\geq a, Y\geq b]=E[g(X+a,Y+b)]$

Published on 18 Nov 2017 - 18:13

score 121 · Answer 3 · 2017-11-20 15:54:12

121

Views

Inequality of means for functions

Published on 20 Nov 2017 - 15:54

score 24 · Answer 4 · 2017-11-22 01:24:33

24

Views

$C=\sum_{i=1}^{n} Z(X_{i}-\mu)Z^{T}$ . Find $Z$ if $X$ follows a bivariate normal distribution

Published on 22 Nov 2017 - 1:24

score 41 · Answer 5 · 2026-02-25 16:32:40

41

Views

Confidence intervals for means

Published on 25 Feb 2026 - 16:32

score 8.4k · Answer 6 · 2017-11-30 10:23:56

8.4k

Views

Geometric mean on negative numbers - work-around

Published on 30 Nov 2017 - 10:23

score 41 · Answer 7 · 2017-12-06 13:04:14

41

Views

Number of mean and variance possible for normal distribution

Published on 06 Dec 2017 - 13:04

score 19 · Answer 8 · 2017-12-06 20:12:36

19

Views

Means for complex values

Published on 06 Dec 2017 - 20:12

score 308 · Answer 9 · 2017-12-07 10:35:16

308

Views

generalized mean for negative numbers

Published on 07 Dec 2017 - 10:35

score 85 · Answer 10 · 2017-12-07 13:44:43

85

Views

$\lim_{r\to\infty}\frac{1}{r}\int_{-r}^r|f(x)|dx=0$ and uniform continuity implies $\lim_{x\to \pm \infty}f(x)=0$?

Published on 07 Dec 2017 - 13:44

score 184 · Answer 11 · 2017-12-08 15:47:54

184

Views

Harmonic and geometric mean convergence to $L$ $\Rightarrow$ the series converges to $L$

Published on 08 Dec 2017 - 15:47

score 1.8k · Answer 12 · 2017-12-08 20:37:43

1.8k

Views

Covariance between given iid random variable and sample average

Published on 08 Dec 2017 - 20:37

score 278 · Answer 13 · 2017-12-13 11:26:02

278

Views

Generalized mean inequality for traces

Published on 13 Dec 2017 - 11:26

score 539 · Answer 14 · 2026-03-25 10:56:07

539

Views

Mean Value and Variance of a Birth and Death Process

Published on 25 Mar 2026 - 10:56

score 39 · Answer 15 · 2017-12-17 11:16:37

39

Views

Solving formulas involving multiple means and standard deviations

Published on 17 Dec 2017 - 11:16

List Question

Given a random variable $X \in R$ with zero mean and covariance matrix $\Sigma$. What is the mean of $Z=X^{T}X$?

Prove $E[g(X,Y)|X\geq a, Y\geq b]=E[g(X+a,Y+b)]$

Inequality of means for functions

$C=\sum_{i=1}^{n} Z(X_{i}-\mu)Z^{T}$ . Find $Z$ if $X$ follows a bivariate normal distribution

Confidence intervals for means

Geometric mean on negative numbers - work-around

Number of mean and variance possible for normal distribution

Means for complex values

generalized mean for negative numbers

$\lim_{r\to\infty}\frac{1}{r}\int_{-r}^r|f(x)|dx=0$ and uniform continuity implies $\lim_{x\to \pm \infty}f(x)=0$?

Harmonic and geometric mean convergence to $L$ $\Rightarrow$ the series converges to $L$

Covariance between given iid random variable and sample average

Generalized mean inequality for traces

Mean Value and Variance of a Birth and Death Process

Solving formulas involving multiple means and standard deviations

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