Dislikedduffypratt, thanks for clarifying.
I disagree then.
Until you can mathematically prove otherwise, winners and losers are randomly distributed. The "psychological errors" that the losing traders may make don't skew the overall long-term distribution nor make it "non-random".
Oh and just a side-note: A "random distribution" is not necessarily Gaussian (many seem to assume that random = Gaussian). Here's Wolfram's definition:
[i]"Random distribution: A statistical distribution in which the variates occur with probabilities...Ignored
Basically, I think we understand each other, and simply disagree. That's OK by me.