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I'm trying to find a probability distribution (D) with the following property:

Given two independent stochastic variables X_{1}and X_{2}from the distribution D, I want the difference Y=X_{1}-X_{2}to have a uniform distribution (one the interval [0,1], say).

I don't seem to be able to solve it. I'm not even sure that such a distribution exists...

Any ideas?

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# Uniform pdf from difference of two stochastic variables?

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