I need some help to make sure my reasoning is correct. Bear with me please.(adsbygoogle = window.adsbygoogle || []).push({});

I have a time distribution for a process and I want to construct a distribution for the time it takes to perform two processes. So I would define

##\tau = t + t##

This would create a new distribution with is a convolution of the process performed twice.

##P(\tau) = P(t)*P(t)##

Now could I do the same for performing the process N times

##\tau = t + t + ... + t = Nt##

##P(\tau) = P(t)*P(t)*...*P(t)##

Could the N convolutions be performed with a change of variables instead

##P(\tau) = P(t)\frac{dt}{d\tau}##

##P(\tau) = P(\frac{\tau}{N})\frac{1}{N}##

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# Convolution of Time Distributions

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