Part of the book series: Die Grundlehren der Mathematischen Wissenschaften ((GL,volume 104))

Abstract

In this section we give several more limit theorems about S n including the central limit theorem and the law of the iterated logarithm. The state space I will now be assumed to be positive class, in fact except in Theorem 1 below the stronger assumption that m (2) ii < ∞ for some and hence all i will be made.

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© 1960 Springer-Verlag OHG. Berlin · Göttingen · Heidelberg

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Chung, K.L. (1960). Further limit theorems. In: Markov Chains with Stationary Transition Probabilities. Die Grundlehren der Mathematischen Wissenschaften, vol 104. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-49686-8_16

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  • DOI: https://doi.org/10.1007/978-3-642-49686-8_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-49408-6

  • Online ISBN: 978-3-642-49686-8

  • eBook Packages: Springer Book Archive

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