Just a quick question. Are the integrals for the convolution of f and g correct? Should it be f(y) in the integral? I would also suggest writing (f*g)(x) or something like that to make it obvious that x is fixed in the integral and y is just a dummy variable of integration. This might help illustrate that the convolution is trying to compute the density function for a sum of random variables.
The integral was incorrect! Fixed now, thanks! Also added the (f * g)(x) to the equality for those who find that notation better (I’ve just discovered that GPT-4o prefers it too). Cheers!
Just a quick question. Are the integrals for the convolution of f and g correct? Should it be f(y) in the integral? I would also suggest writing (f*g)(x) or something like that to make it obvious that x is fixed in the integral and y is just a dummy variable of integration. This might help illustrate that the convolution is trying to compute the density function for a sum of random variables.
The integral was incorrect! Fixed now, thanks! Also added the (f * g)(x) to the equality for those who find that notation better (I’ve just discovered that GPT-4o prefers it too). Cheers!