Abstract
We again turn our discussion to sequences of independent random variables. Let \({\xi }_{1},{\xi }_{2},\ldots \) be a sequence of random variables with finite expectations \({m}_{n} =\mathrm{ E}{\xi }_{n}\), \(n = 1,2,\ldots \). Let \({\zeta }_{n} = ({\xi }_{1} + \ldots + {\xi }_{n})/n\) and \({\overline{\zeta }}_{n} = ({m}_{1} + \ldots + {m}_{n})/n\).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Koralov, L., Sinai, Y.G. (2012). Laws of Large Numbers. In: Theory of Probability and Random Processes. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68829-7_7
Download citation
DOI: https://doi.org/10.1007/978-3-540-68829-7_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25484-3
Online ISBN: 978-3-540-68829-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)