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Abstract

We have already encountered a number of limit theorems. For instance, the law of large numbers Theorem 1.6.1 and the arc-sine law Theorem 3.2.3 were statements about the limiting behaviour of a growing number of random variables. In this chapter, we state new laws of large numbers, and a primitive version of the famous central limit theorem.

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© 2003 Springer Basel AG

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Meester, R. (2003). Limit Theorems. In: A Natural Introduction to Probability Theory. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7786-2_4

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  • DOI: https://doi.org/10.1007/978-3-0348-7786-2_4

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-2188-8

  • Online ISBN: 978-3-0348-7786-2

  • eBook Packages: Springer Book Archive

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