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A. de Moivre theorem revisited

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  • Szewczak, Zbigniew S.

Abstract

Cramér’s large deviations of order o(n) in the operator form are investigated. Consequently a generalization of de Moivre’s local limit theorem for binary Markov chains is obtained in the form with tied up (quenched) ends.

Suggested Citation

  • Szewczak, Zbigniew S., 2022. "A. de Moivre theorem revisited," Statistics & Probability Letters, Elsevier, vol. 181(C).
    • Handle: RePEc:eee:stapro:v:181:y:2022:i:c:s0167715221002224
    DOI: 10.1016/j.spl.2021.109260
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    References listed on IDEAS

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    1. 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.
    2. Zbigniew S. Szewczak, 2017. "Berry–Esséen theorem for sample quantiles of asymptotically uncorrelated non reversible Markov chains," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(8), pages 3985-4003, April.
    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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