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I need to find the distribution of sum of squares of uniform random variables.

Assume that $X_i \sim U(a,b)$ and I need to know the distribution of $Y=\sum_{i=1}^n X_i^2$.

$X_i$ are independent.

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    Do we have independence ?2017-01-14
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    @GrahamKemp Yes, we have2017-01-14

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