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On the length of the longest increasing run in d

Author

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  • Frolov, Andrei N.
  • Martikainen, Alexander I.

Abstract

We investigate the almost sure behaviour of the length of the longest increasing run in multivariate case.

Suggested Citation

  • Frolov, Andrei N. & Martikainen, Alexander I., 1999. "On the length of the longest increasing run in d," Statistics & Probability Letters, Elsevier, vol. 41(2), pages 153-161, January.
    • Handle: RePEc:eee:stapro:v:41:y:1999:i:2:p:153-161
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    Cited by:

    1. Alexandru Amarioarei & Cristian Preda, 2020. "One Dimensional Discrete Scan Statistics for Dependent Models and Some Related Problems," Mathematics, MDPI, vol. 8(4), pages 1-11, April.
    2. Frolov, Andrei & Martikainen, Alexander & Steinebach, Josef, 2000. "Strong laws for the maximal gain over increasing runs," Statistics & Probability Letters, Elsevier, vol. 50(3), pages 305-312, November.
    3. Nathalie Mitton & Katy Paroux & Bruno Sericola & Sébastien Tixeuil, 2010. "Ascending Runs in Dependent Uniformly Distributed Random Variables: Application to Wireless Networks," Methodology and Computing in Applied Probability, Springer, vol. 12(1), pages 51-62, March.
    4. Frolov, Andrei N., 2003. "On asymptotics of the maximal gain without losses," Statistics & Probability Letters, Elsevier, vol. 63(1), pages 13-23, May.

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