The Automatic Central Limit Theorems Generator (and Much More!)

Doron Zeilberger ()
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Doron Zeilberger: Rutgers University (New Brunswick), Department of Mathematics

Chapter Chapter 8 in Advances in Combinatorial Mathematics, 2009, pp 165-174 from Springer

Abstract: Abstract Why I hate the Continuous and Love the Discrete I have always loved the discrete and hated the continuous. Perhaps it was the trauma of having to go through the usual curriculum of “rigorous”, Cauchy-Weierstrass-style, real calculus, where one has all those tedious, pedantic and utterly boring, ε−δ proofs. The meager (obvious) conclusions hardly justify the huge mental efforts! Complex Analysis was a different story. Even though officially “continuous”, it has the feel of discrete math, and one can “cheat” and consider power series as formal power series, and I really loved it.

Keywords: Central Limit Theorem; Standard Normal Distribution; Asymptotic Normality; Formal Power Series; Probability Generate Function (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/978-3-642-03562-3_8

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