Laws of Large Numbers and Sums of Independent Random Variables

  • Sidney I. Resnick
Part of the Modern Birkhäuser Classics book series (MBC)


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.


Independent Random Variable Petersburg Paradox Pure Birth Process Series Theorem Negative Random Variable 
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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Sidney I. Resnick
    • 1
  1. 1.School of Operations Research and Information EngineeringCornell UniversityIthacaUSA

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