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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]

Ali
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    This 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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    Does this answer your question? [Uniform random variable as sum of two random variables](https://stats.stackexchange.com/questions/125360/uniform-random-variable-as-sum-of-two-random-variables) – Ryan Volpi Jun 14 '20 at 05:36
  • Yes, thank you. – Ali Jun 17 '20 at 04:30

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