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An almost sure local limit theorem for Markov chains

Author

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  • Giuliano-Antonini, Rita
  • Szewczak, Zbigniew S.

Abstract

An almost sure local limit theorem for Markov chains is investigated.

Suggested Citation

  • Giuliano-Antonini, Rita & Szewczak, Zbigniew S., 2013. "An almost sure local limit theorem for Markov chains," Statistics & Probability Letters, Elsevier, vol. 83(2), pages 573-579.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:2:p:573-579
    DOI: 10.1016/j.spl.2012.10.011
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    References listed on IDEAS

    as
    1. Szewczak, Zbigniew S., 2012. "On Dobrushin’s inequality," Statistics & Probability Letters, Elsevier, vol. 82(6), pages 1202-1207.
    2. Manfred Denker & Susanne Koch, 2002. "Almost sure local limit theorems," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 56(2), pages 143-151, May.
    3. Szewczak, Zbigniew S., 2008. "Edgeworth expansions in operator form," Statistics & Probability Letters, Elsevier, vol. 78(12), pages 1583-1592, September.
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    Citations

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    Cited by:

    1. Szewczak, Zbigniew S., 2022. "A. de Moivre theorem revisited," Statistics & Probability Letters, Elsevier, vol. 181(C).
    2. Pang, Guodong & Zheng, Yi, 2017. "On the functional and local limit theorems for Markov modulated compound Poisson processes," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 131-140.

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