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Edgeworth expansions in operator form

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  • Szewczak, Zbigniew S.

Abstract

An operator form of asymptotic expansions for Markov chains is established. Coefficients are given explicitly. Such expansions require a certain modification of the classical spectral method. They prove to be extremely useful within the context of large deviations.

Suggested Citation

  • Szewczak, Zbigniew S., 2008. "Edgeworth expansions in operator form," Statistics & Probability Letters, Elsevier, vol. 78(12), pages 1583-1592, September.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:12:p:1583-1592
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    Cited by:

    1. Szewczak, Zbigniew S., 2012. "On Dobrushin’s inequality," Statistics & Probability Letters, Elsevier, vol. 82(6), pages 1202-1207.
    2. 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.
    3. Szewczak, Zbigniew S., 2010. "A limit theorem for random sums modulo 1," Statistics & Probability Letters, Elsevier, vol. 80(9-10), pages 747-751, May.
    4. Szewczak, Zbigniew S., 2022. "A. de Moivre theorem revisited," Statistics & Probability Letters, Elsevier, vol. 181(C).

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