Question

Compute the distribution of $(X,Y)$ where $X = \sqrt{U}\cos(2\pi V)$ and $Y = \sqrt{U} \sin(2\pi V)$

score 67 · Answer 1 · 2021-07-04 14:37:05

67

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Compute the distribution of $(X,Y)$ where $X = \sqrt{U}\cos(2\pi V)$ and $Y = \sqrt{U} \sin(2\pi V)$

Published on 04 Jul 2021 - 14:37

score 290 · Answer 2 · 2021-07-04 19:48:16

290

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Exercise of the form: given the random vector $(X,Y)$, find the probability density function of $X$

Published on 04 Jul 2021 - 19:48

score 75 · Answer 3 · 2021-07-04 20:06:06

75

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Is it possible to determine whether a random variable has density without first finding its density function?

Published on 04 Jul 2021 - 20:06

score 253 · Answer 4 · 2021-07-05 18:09:08

253

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Density for the convolution of a probability measure and a gaussian distribution

Published on 05 Jul 2021 - 18:09

score 263 · Answer 5 · 2026-03-26 06:17:49

263

Views

Likelihood values from Sigmoid

Published on 26 Mar 2026 - 6:17

score 424 · Answer 6 · 2021-07-07 07:02:09

Let $U$, $V$ be independent random variables following a continuous uniform distribution on $(0,1).$ Let $X=U.V$ then find $f_X$ and $f_V|_X$

score 54 · Answer 7 · 2021-07-07 07:59:22

54

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Let $f_X(x)=\frac{(n+m+1)!}{n!m!}x^{n}(1-x)^m; 0<x<1$. Find the pdf of $Y$.

Published on 07 Jul 2021 - 7:59

score 40 · Answer 8 · 2021-07-07 16:54:50

40

Views

Expected value of vector with density $\frac{3}{2}x_1^2x_2 + \frac{1}{2}(x_2 - \frac{1}{2}) - \frac{3}{4} x_1^2 $

Published on 07 Jul 2021 - 16:54

score 59 · Answer 9 · 2026-03-26 17:36:51

59

Views

For given Joint pdf, Find the value of $c$

Published on 26 Mar 2026 - 17:36

score 57 · Answer 10 · 2021-07-09 13:00:14

57

Views

What is the set of (probability) measures $P$ such that $\operatorname{D_{KL}}<\infty$?

Published on 09 Jul 2021 - 13:00

score 29 · Answer 11 · 2021-07-13 15:34:29

29

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Marginal Probability of $X$ & $Z$.

Published on 13 Jul 2021 - 15:34

score 45 · Answer 12 · 2026-03-30 13:34:35

45

Views

Doubt in order statistics theory?

Published on 30 Mar 2026 - 13:34

score 56 · Answer 13 · 2021-07-15 12:35:44

56

Views

Correction: Calculating distribution function and determining density function of $Y =2X$

Published on 15 Jul 2021 - 12:35

score 224 · Answer 14 · 2026-03-27 15:55:07

224

Views

How can we think of the codomain (range) of a probability density function?

Published on 27 Mar 2026 - 15:55

score 153 · Answer 15 · 2026-04-01 07:51:35

153

Views

PDF of sum exponential random variable multiplied by constant.

Published on 01 Apr 2026 - 7:51

List Question

Compute the distribution of $(X,Y)$ where $X = \sqrt{U}\cos(2\pi V)$ and $Y = \sqrt{U} \sin(2\pi V)$

Exercise of the form: given the random vector $(X,Y)$, find the probability density function of $X$

Is it possible to determine whether a random variable has density without first finding its density function?

Density for the convolution of a probability measure and a gaussian distribution

Likelihood values from Sigmoid

Let $U$, $V$ be independent random variables following a continuous uniform distribution on $(0,1).$ Let $X=U.V$ then find $f_X$ and $f_V|_X$

Let $f_X(x)=\frac{(n+m+1)!}{n!m!}x^{n}(1-x)^m; 0<x<1$. Find the pdf of $Y$.

Expected value of vector with density $\frac{3}{2}x_1^2x_2 + \frac{1}{2}(x_2 - \frac{1}{2}) - \frac{3}{4} x_1^2 $

For given Joint pdf, Find the value of $c$

What is the set of (probability) measures $P$ such that $\operatorname{D_{KL}}<\infty$?

Marginal Probability of $X$ & $Z$.

Doubt in order statistics theory?

Correction: Calculating distribution function and determining density function of $Y =2X$

How can we think of the codomain (range) of a probability density function?

PDF of sum exponential random variable multiplied by constant.

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