On the limit distributions of kth order statistics for semi-pareto processes

Volume 24 / 1997

Magdalena Chrapek, Jadwiga Dudkiewicz, Wiesław Dziubdziela Applicationes Mathematicae 24 (1997), 189-193 DOI: 10.4064/am-24-2-189-193

Abstract

Asymptotic properties of the kth largest values for semi-Pareto processes are investigated. Conditions for convergence in distribution of the kth largest values are given. The obtained limit laws are represented in terms of a compound Poisson distribution.

Authors

  • Magdalena Chrapek
  • Jadwiga Dudkiewicz
  • Wiesław Dziubdziela

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