Moments of Sums of Independent and Identically Distributed Random Variables

Details Moments of Sums of Independent and Identically Distributed Random Variables Moments of Sums of Independent and Identically Distributed Random Variables

2011-05-31

arxiv.org/abs/1105.6283v2

Mathematics

Statistics Theory

13 pages

Scientific paper

We present an analytic method for computing the moments of a sum of independent and identically distributed random variables. The limiting behavior of these sums is very important to statistical theory, and the moment expressions that we derive allow for it to be studied relatively easily. We show this by presenting a new proof of the central limit theorem and several other convergence results.

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