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

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Publication:1380546
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DOI10.1016/S0167-7152(96)00095-8zbMath0904.60031MaRDI QIDQ1380546

D. Massart

Publication date: 18 January 1999

Published in: Statistics \& Probability Letters (Search for Journal in Brave)


zbMATH Keywords

fractional partsextreme order statistics


Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Extreme value theory; extremal stochastic processes (60G70)


Related Items (3)

A note on the number of observations near an order statistic ⋮ How Many Observations Fall in a Neighborhood of an Order Statistic? ⋮ A note on the number of records near the maximum




Cites Work

  • Unnamed Item
  • Simulation methodology - an introduction for queueing theorists
  • The asymptotic probability of a tie for first place
  • On the number of maxima in a discrete sample
  • A necessary and sufficient condition for the existence of the limiting probability of a tie for first place
  • On Sums Modulo 2π of Independent Random Variables
  • On the asymptotically uniform distribution modulo 1 of extreme order statistics
  • The limit behavior of maxima modulo one and the number of maxima




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