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Large and Moderate Deviation Principles for Engel Continued Fractions

Author

Listed:
  • Lulu Fang

    (South China University of Technology)

  • Min Wu

    (South China University of Technology)

  • Lei Shang

    (Anhui University)

Abstract

Large and moderate deviation principles are proved for Engel continued fractions, a new type of continued fraction expansion with non-decreasing partial quotients in number theory.

Suggested Citation

  • Lulu Fang & Min Wu & Lei Shang, 2018. "Large and Moderate Deviation Principles for Engel Continued Fractions," Journal of Theoretical Probability, Springer, vol. 31(1), pages 294-318, March.
    • Handle: RePEc:spr:jotpro:v:31:y:2018:i:1:d:10.1007_s10959-016-0715-3
    DOI: 10.1007/s10959-016-0715-3
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    References listed on IDEAS

    as
    1. Gao, Fuqing, 2008. "Moderate deviations and law of the iterated logarithm in for kernel density estimators," Stochastic Processes and their Applications, Elsevier, vol. 118(3), pages 452-473, March.
    2. Fang, Lulu, 2015. "Large and moderate deviations for modified Engel continued fractions," Statistics & Probability Letters, Elsevier, vol. 98(C), pages 98-106.
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