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An Examination and Proof of the Multivariate Central Limit Theorem

Scott LaForest

Abstract

The central limit theorem states that as the number of observations for any distribution goes to infinity, the distribution will behave like a normal distribution with mean 0 and variance 1.  I will prove the more generalized form of this theorem which deals with the multivariate form.  Some examples of this theorem will be generated using a program called SAS as well.  The proof and example will be presented using a mathematical program called Latex.

Biography

I’m Scott LaForest and I am a senior at Montana Tech.  I will be graduating in May 2007 with a degree in Math Education.  After graduation I plan to teach and coach at the high school level.  My undergraduate research project is to examine and prove the multivariate central limit theorem.  I will also display my project with a program call LATEX, which allows the user to display mathematical symbols and expressions easier.

Scott LaForest

 

 

 

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