Question

Given density function $f_{X,Y}(x,y) = 8xy$ determine the distribution of the variable $\frac{X}{Y}$. Then tell if this variable independent of $Y$.

score 781 · Answer 1 · 2023-05-16 09:23:57

781

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Given density function $f_{X,Y}(x,y) = 8xy$ determine the distribution of the variable $\frac{X}{Y}$. Then tell if this variable independent of $Y$.

Published on 16 May 2023 - 9:23

score 53 · Answer 2 · 2026-03-26 10:57:26

53

Views

Differing probabilities in discrete vs continuous two-envelopes

Published on 26 Mar 2026 - 10:57

score 77 · Answer 3 · 2026-03-31 05:10:57

77

Views

How to find the joint probability density function of three random variables

Published on 31 Mar 2026 - 5:10

score 93 · Answer 4 · 2026-03-28 16:20:01

93

Views

Finding the differential entropy for random variable

Published on 28 Mar 2026 - 16:20

score 64 · Answer 5 · 2023-05-25 22:23:50

64

Views

Variable $(X, Y)$ has Gaussian distribution and a given covariance matrix. Find $a$ such that the variables $X +Y$ and $X +aY$ are independent.

Published on 25 May 2023 - 22:23

score 28 · Answer 6 · 2023-05-26 11:13:24

28

Views

Joint density of discrete and continuous variables.

Published on 26 May 2023 - 11:13

score 64 · Answer 7 · 2026-03-25 20:34:03

64

Views

Density estimation with Orthogonal series

Published on 25 Mar 2026 - 20:34

score 29 · Answer 8 · 2026-03-31 22:43:45

29

Views

Is this called a density graph or a distribution graph

Published on 31 Mar 2026 - 22:43

score 42 · Answer 9 · 2026-03-28 21:50:28

42

Views

Differentiating a distribution function does not give me a density

Published on 28 Mar 2026 - 21:50

score 38 · Answer 10 · 2026-03-25 23:37:30

38

Views

Bound for MSE of the Kernel Density Estimator

Published on 25 Mar 2026 - 23:37

score 52 · Answer 11 · 2023-06-01 09:45:29

52

Views

Probability density function estimation?

Published on 01 Jun 2023 - 9:45

score 27 · Answer 12 · 2023-06-05 15:42:58

27

Views

Is a density in Sobolev-class bounded?

Published on 05 Jun 2023 - 15:42

score 72 · Answer 13 · 2026-02-23 18:43:13

72

Views

Calculating a concrete Radon-Nikodym derivative (density)

Published on 23 Feb 2026 - 18:43

score 156 · Answer 14 · 2023-06-06 07:58:55

156

Views

Joint density function: $f_{X,Y}(x,y) = \frac{x^3}{2} e^{-x(y+1)}$. Find $\mathbb{E} (Y|X)$, $\mathbb{E} (Y^2|X^2)$ and $\mathbb{P} (Y>1|X^3 + 1)$.

Published on 06 Jun 2023 - 7:58

score 121 · Answer 15 · 2026-03-25 05:07:40

121

Views

For what values of $\alpha <\frac 12$ occurs $CVaR_{\alpha}(X) \ge VaR_{\alpha} (X)$

Published on 25 Mar 2026 - 5:07

List Question

Given density function $f_{X,Y}(x,y) = 8xy$ determine the distribution of the variable $\frac{X}{Y}$. Then tell if this variable independent of $Y$.

Differing probabilities in discrete vs continuous two-envelopes

How to find the joint probability density function of three random variables

Finding the differential entropy for random variable

Variable $(X, Y)$ has Gaussian distribution and a given covariance matrix. Find $a$ such that the variables $X +Y$ and $X +aY$ are independent.

Joint density of discrete and continuous variables.

Density estimation with Orthogonal series

Is this called a density graph or a distribution graph

Differentiating a distribution function does not give me a density

Bound for MSE of the Kernel Density Estimator

Probability density function estimation?

Is a density in Sobolev-class bounded?

Calculating a concrete Radon-Nikodym derivative (density)

Joint density function: $f_{X,Y}(x,y) = \frac{x^3}{2} e^{-x(y+1)}$. Find $\mathbb{E} (Y|X)$, $\mathbb{E} (Y^2|X^2)$ and $\mathbb{P} (Y>1|X^3 + 1)$.

For what values of $\alpha <\frac 12$ occurs $CVaR_{\alpha}(X) \ge VaR_{\alpha} (X)$

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