Abstract
We shall give in this section a complete determination of the limit or limits of p (n) ij as n → ∞, for every i and j. If j is nonrecurrent it follows already from the Corollary to Theorem 5.5 that \( \mathop {\lim }\limits_{n \to \infty } p_{ij}^{\left( n \right)} = 0. \)
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© 1960 Springer-Verlag OHG. Berlin · Göttingen · Heidelberg
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Chung, K.L. (1960). The main limit theorem. 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_6
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DOI: https://doi.org/10.1007/978-3-642-49686-8_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-49408-6
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