/sci/ - Science & Math

A convolution product of two random variable randomly distributed

Why do some sources (wikipedia) define convolution as
<div class="math"> \int_{0}^{t} f(s) g(t-s) ds </div>
It seems like whenever it comes down to application, we use
<div class="math"> \int_{-\infty}^{\infty} f(s) g(t-s) ds </div>

Can someone explain this discrepancy?

>>946139
You don't know what convolution is, do you...? Tak a look at this gif, I could explain you the main theory, but I think this is the easiest way to feel how this is possible.