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## Homework Statement

It is given a function y(t)=ae(t) where e(t) is the "[URL [Broken] error function

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I am looking for the variance of this function in an infinite space. Since t is time, I assume that this space is defined as [0,+∞). Thus, the usual variance functions does not apply since they need a finite space. Any suggestions?

## The Attempt at a Solution

I found https://www.physicsforums.com/showthread.php?t=114629"thread in the forum discussing the average value of a function sent to infinity. I am not sure if this is what I am looking for, though it seems valid. So I guess there is a next step to find variance through average.

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