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Tagged with mathematica density-function
4 questions
0
votes
1
answer
139
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how to find domain of marginal pdf when its two variables domain are dependent
I have a pdf $f(x,y)=1/π, 0< x^2+ y^2 <1$； 0, e.w.
Here, we can see $-\sqrt{1-x^2} < y < \sqrt{1-x^2}$
So, the marginal pdf of $X$ is $$\int_{-\sqrt{1-x^2}}^\sqrt{1-x^2} 1/πy \, dy\,.$$
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- 39
-2
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2
answers
1k
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Uniform Density Function
As we know the uniform probability density function is
f(x)=1/(b-a)
if i find the density function and area of this uniform distribution between
(0, 1/2) then it would be
f(x)=1/(1/2-0)
f(x)=2
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- 85
8
votes
2
answers
811
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PDF of a sum of dependent variables
This is a direct continuation of my recent question. The thing that I actually want to get is the distribution of $a+d+\sqrt{(a-d)^2+4bc}$, where $a,b,c,d$ are uniform in $[0,1]$. Now, the ...
- 1,264
17
votes
2
answers
689
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What's the distribution of $(a-d)^2+4bc$, where $a,b,c,d$ are uniform distributions?
I have four independent uniformly distributed variables $a,b,c,d$, each in
$[0,1]$. I want to calculate the distribution of $(a-d)^2+4bc$. I computed the distribution of $u_2=4bc$ to be $$f_2(u_2)=-\...
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