Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Hi there I am looking at the following:

Show that the symmetric triangular distribution, $$\begin{equation} g(x)=\begin{cases} 0, & \text{if $x<0$}.\\ x, & \text{$0\leq x\leq1$}\\ 2-x & \text{$1\leq x\leq2$}\\ 0& \text{if $x>2$} \end{cases} \end{equation}$$

can be sampled from a convolution of 2 uniforms?

Is this related to a inversion technique? Any help would be most appreciated, many thanks.

share|cite|improve this question
No. You are asked to prove that if U and V are i.i.d. uniform on (0,1) then U+V has density g. – Did Feb 16 '13 at 12:14
@Did many thanks. – user24930 Feb 16 '13 at 14:07

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.