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Laws of Large Numbers and Sums of Independent Random Variables

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A Probability Path
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Abstract

This chapter deals with the behavior of sums of independent random variables and with averages of independent random variables. There are various results that say that averages of independent (and approximately independent) random variables are approximated by some population quantity such as the mean. Our goal is to understand these results in detail.

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© 2005 Springer Science+Business Media New York

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Resnick, S.I. (2005). Laws of Large Numbers and Sums of Independent Random Variables. In: A Probability Path. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1818-0_7

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