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How do I compute the density of this data set that is made up of two different 3D-distributions?

A sequel to this question. I have a dataset where: $\frac{4}{5}$ of the points are drawn from: $(x, y) \sim \mathcal{U}_{2}(0,30)$, $(z) \sim \mathcal{U}_{1}(14.5, 15.5)$. $\frac{1}{5}$ of the ...
Laura's user avatar
  • 165
3 votes
1 answer
413 views

Scale parameter MLE scheme known but how to find according distribution PDF?

For known location, we can find the scale parameter of a normal distribution by calculating the sum of squared differences to the location, then dividing by n-1 and taking the square root. This is the ...
user32038's user avatar
  • 445
2 votes
1 answer
85 views

What's a distribution with an abyss instead of a peak?

I am looking for a (commonly used) probability density function, which would look like a normal distribution flipped upside down. It would look like a uniform distribution with a dent in the middle. ...
Angelorf's user avatar
  • 1,631
13 votes
1 answer
3k views

Can we make the Irwin-Hall distribution more general?

I need to find a symmetric low-kurtosis distribution class, which includes the uniform, the triangular and the normal Gaussian distribution. The Irwin-Hall distribution (sum of standard uniform) ...
user32038's user avatar
  • 445
2 votes
1 answer
2k views

How to write a function to generate a sequence of points in R?

This is the PDF that I am dealing with: ...
Mathlete's user avatar
  • 423
2 votes
2 answers
25k views

Determine density of $\min(X,Y)$ and $\max(X,Y)$ for independently uniform distributed variables

Two independent random variables, $X$ and $Y$, are uniformly distributed on the unit interval $(-1,1)$. Determine the density for $U=\min(X,Y)$ and for $W=\max(X,Y)$
Michael's user avatar
  • 23
1 vote
1 answer
1k views

Limits of integration for computing a marginal distribution

I have two functions $f_x$ = $\frac{1}{2}\delta(x-5) + 1/4$ where the 1/4 corresponds to a uniform distribution from 5 to 7. I also have $f_{y|x}$ = $\frac {1}{2}\delta(y-x-4) + 1/4$ which is 1/4 in ...
nomad2986's user avatar
  • 103

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