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arXiv · 1207.6078

Elementary Proofs of the Main Limit Theorems of Probability

Nicholas Pippenger
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Abstract

We give simple proofs, under minimal hypotheses, of the Weak Law of Large Numbers and the Central Limit Theorem for independent identically distributed random variables. These proofs use only the elementary calculus, together with the most basic notions of probability, expectations, and distribution functions

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Nicholas Pippenger. 2012-07-25. Elementary Proofs of the Main Limit Theorems of Probability. https://arxiv.org/abs/1207.6078

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