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On Chung's Lil and Csáki's Law for Renewal Processes

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Abstract

In this paper, Chung's law of the iterated logarithm (LIL) for partial sums, Csáki's law (a generalization of Chung's LIL), and Hirsch's law are extended to renewal processes.

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Authors and Affiliations

  1. Department of Mathematics and Mechanics, St. Petersburg University, Bibliotechnaja pl. 2 Stary Petershof, 198904, St. Petersburg, Russia

    Andrei Frolov & Alexander Martikainen

  2. Fachbereich Mathematik und Informatik, Philipps-Universität, Hans-Meerwein-Strasse, D-35032, Marburg F.R, Germany

    Josef Steinebach

Authors
  1. Andrei Frolov
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  2. Alexander Martikainen
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  3. Josef Steinebach
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Frolov, A., Martikainen, A. & Steinebach, J. On Chung's Lil and Csáki's Law for Renewal Processes. Periodica Mathematica Hungarica 41, 149–155 (2000). https://doi.org/10.1023/A:1010364321093

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