Question

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

score 13.6k · Answer 1 · 2026-05-10 11:20:59

13.6k

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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

score 193 · Answer 2 · 2026-04-09 15:57:51

193

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Is a compact set of distributions still compact if we fix the marginal distribution?

Published on 09 Apr 2026 - 15:57

score 80 · Answer 3 · 2026-04-12 09:10:29

80

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is the sum of two poisson distribution independent from the others variables

Published on 12 Apr 2026 - 9:10

score 2.8k · Answer 4 · 2026-05-10 11:06:26

2.8k

Views

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

score 19 · Answer 5 · 2026-04-14 02:25:47

19

Views

Biased coin probability when p can lie in a range of values

Published on 14 Apr 2026 - 2:25

score 79 · Answer 6 · 2026-05-10 17:05:06

79

Views

How to prove that $P(X = x-1) \cdot P(X=x+1) \le (P(X=x))^2$ for a Poisson distribution

Published on 10 May 2026 - 17:05

score 430 · Answer 7 · 2026-05-07 17:41:14

430

Views

Conditional Probability with Random Walk

Published on 07 May 2026 - 17:41

score 46 · Answer 8 · 2026-04-14 11:29:56

46

Views

Defining distribution function and calculating probabilty of a specific event

Published on 14 Apr 2026 - 11:29

score 58 · Answer 9 · 2026-04-14 00:32:14

58

Views

calculation of Probabilities with two normal distributions

Published on 14 Apr 2026 - 0:32

score 961 · Answer 10 · 2026-05-10 12:33:16

961

Views

How to show that $ln \ Y$ of uniform distributed random variable is exponential distributed

Published on 10 May 2026 - 12:33

score 1.1k · Answer 11 · 2026-04-10 19:36:32

1.1k

Views

How do I solve the questions below using the Poisson distribution with the variable $t$?

Published on 10 Apr 2026 - 19:36

score 894 · Answer 12 · 2026-05-10 12:30:13

894

Views

Improper Uniform Distribution on $\mathbb{R}$

Published on 10 May 2026 - 12:30

score 38 · Answer 13 · 2026-04-15 07:32:54

38

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$X$ and $Y$ are Random Variables such that $f(x,y)=\frac{1}{2} e^{-x} \text{if} \ |y| \leq x$ , $\ x>0$

Published on 15 Apr 2026 - 7:32

score 32 · Answer 14 · 2026-04-10 12:22:00

32

Views

Distribution function constraints from moments?

Published on 10 Apr 2026 - 12:22

score 72 · Answer 15 · 2026-04-12 04:31:22

72

Views

Problem with median and even functions

Published on 12 Apr 2026 - 4:31

List Question

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

Is a compact set of distributions still compact if we fix the marginal distribution?

is the sum of two poisson distribution independent from the others variables

Show that $\operatorname{Cov}(X,X^2)=0$ if X is a continuous random variable with symmetric distribution around the origin

Biased coin probability when p can lie in a range of values

How to prove that $P(X = x-1) \cdot P(X=x+1) \le (P(X=x))^2$ for a Poisson distribution

Conditional Probability with Random Walk

Defining distribution function and calculating probabilty of a specific event

calculation of Probabilities with two normal distributions

How to show that $ln \ Y$ of uniform distributed random variable is exponential distributed

How do I solve the questions below using the Poisson distribution with the variable $t$?

Improper Uniform Distribution on $\mathbb{R}$

$X$ and $Y$ are Random Variables such that $f(x,y)=\frac{1}{2} e^{-x} \text{if} \ |y| \leq x$ , $\ x>0$

Distribution function constraints from moments?

Problem with median and even functions

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