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Empirical law of the iterated logarithm for Markov chains with a countable state space

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  • Tsai, Tsung-Hsi

Abstract

We find conditions which are sufficient and nearly necessary for the compact and bounded law of the iterated logarithm for Markov chains with a countable state space.

Suggested Citation

  • Tsai, Tsung-Hsi, 2000. "Empirical law of the iterated logarithm for Markov chains with a countable state space," Stochastic Processes and their Applications, Elsevier, vol. 89(2), pages 175-191, October.
    • Handle: RePEc:eee:spapps:v:89:y:2000:i:2:p:175-191
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    References listed on IDEAS

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    1. Levental, Shlomo, 1990. "Uniform CLT for Markov chains with a countable state space," Stochastic Processes and their Applications, Elsevier, vol. 34(2), pages 245-253, April.
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    Cited by:

    1. Yongjiang Guo & Xiyang Hou & Yunan Liu, 2021. "A functional law of the iterated logarithm for multi-class queues with batch arrivals," Annals of Operations Research, Springer, vol. 300(1), pages 51-77, May.
    2. Djellout, H. & Guillin, A., 2001. "Moderate deviations for Markov chains with atom," Stochastic Processes and their Applications, Elsevier, vol. 95(2), pages 203-217, October.

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    1. Tsai, Tsung-Hsi, 2001. "The CLT for Markov chains with a countable state space embedded in the space lp," Stochastic Processes and their Applications, Elsevier, vol. 91(1), pages 39-46, January.
    2. Djellout, H. & Guillin, A., 2001. "Moderate deviations for Markov chains with atom," Stochastic Processes and their Applications, Elsevier, vol. 95(2), pages 203-217, October.

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