# Distribution of Sum of Squares of Uniform Random Variables

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.

• Do we have independence ? – Graham Kemp Jan 14 '17 at 14:55
• @GrahamKemp Yes, we have – Anton Karazeev Jan 14 '17 at 14:57