- #1
SSGD
- 49
- 4
I need some help to make sure my reasoning is correct. Bear with me please.
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}##
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}##