If V=X+Y,how to prove that there is no independent random variables X,Y (with the same distribution function) make V a uniform distribution function on [0,1]
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2This question has been previously answered here: https://stats.stackexchange.com/questions/125360/uniform-random-variable-as-sum-of-two-random-variables – Thomas Lumley Jun 14 '20 at 03:30
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1Does this answer your question? Uniform random variable as sum of two random variables – Ryan Volpi Jun 14 '20 at 05:36
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Yes, thank you. – Ali Jun 17 '20 at 04:30