Lots of people seem to lump stats in with math. I don't think you should. Even Mathematical Statistics isn't really math. You really can't call it applied math, since Statistical Theory/Mathematical Statistics isn't applied at all.
For example, this is NOT a math theorm, but a stat theorm.
let f(x1,x2,...x,n|theta) be a distribution, and
let theta-hat be an unbias estimator of theta, then
http://upload.wikimedia.org/math/4/8/6/4863a647daf34f1e0b8a05c316c03a05.png
This statement can be proven mathematicaly, but this isn't a math theorm, it is a stat theorm.
So again, stat isn't math.
The reasont he above theorm isn't a math theorm, is because it was discovered by a statistician, and is used only in Statisitics.
For example, this is NOT a math theorm, but a stat theorm.
let f(x1,x2,...x,n|theta) be a distribution, and
let theta-hat be an unbias estimator of theta, then
http://upload.wikimedia.org/math/4/8/6/4863a647daf34f1e0b8a05c316c03a05.png
This statement can be proven mathematicaly, but this isn't a math theorm, it is a stat theorm.
So again, stat isn't math.
The reasont he above theorm isn't a math theorm, is because it was discovered by a statistician, and is used only in Statisitics.
