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The limit behavior of maxima modulo one and the number of maxima


  • Qi, Yongcheng
  • Wilms, R. J. G.


Asymptotic uniformity of fractional parts of maxima, and the limit behavior of the number of maxima in a discrete sample have been recently studied in the literature. We consider the relationship between these two subjects. Furthermore, we study the convergence in distribution of fractional parts of maxima more generally.

Suggested Citation

  • Qi, Yongcheng & Wilms, R. J. G., 1997. "The limit behavior of maxima modulo one and the number of maxima," Statistics & Probability Letters, Elsevier, vol. 32(4), pages 357-366, April.
  • Handle: RePEc:eee:stapro:v:32:y:1997:i:4:p:357-366

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    References listed on IDEAS

    1. Baryshnikov, Yuliy & Eisenberg, Bennett & Stengle, Gilbert, 1995. "A necessary and sufficient condition for the existence of the limiting probability of a tie for first place," Statistics & Probability Letters, Elsevier, vol. 23(3), pages 203-209, May.
    2. Brands, J. J. A. M. & Steutel, F. W. & Wilms, R. J. G., 1994. "On the number of maxima in a discrete sample," Statistics & Probability Letters, Elsevier, vol. 20(3), pages 209-217, June.
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    Cited by:

    1. Li, Yun, 1999. "A note on the number of records near the maximum," Statistics & Probability Letters, Elsevier, vol. 43(2), pages 153-158, June.


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