Strong Laws for the Maximal k - Spacing

نویسندگان

  • Paul Deheuvels
  • Luc Devroye
چکیده

The integer k is allowed to vary with n at a rate not exceeding log n. We obtain laws of the iterated logarithm for all the k's in the given range. For small k, the methods used in the proofs are borrowed from extreme value theory. For larger k, the techniques are reminiscent of those used in the proof of the Erd/Ss-Rdnyi theorem.

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تاریخ انتشار 1984