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On the number of high excursions of linear growth processes

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Publication:1382468
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DOI10.1016/S0304-4149(96)00097-XzbMath0889.60054MaRDI QIDQ1382468

Torkel Erhardsson

Publication date: 29 March 1998

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)


zbMATH Keywords

Poisson point processcouplingStein-Chen methodtotal variation distancePoisson convergencelinear growth processnumber of excursions


Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Extreme value theory; extremal stochastic processes (60G70)


Related Items

On the number of high excursions of linear growth processes, Random Sets: Models and Statistics, Refined distributional approximations for the uncovered set in the Johnson-Mehl model., Compound Poisson approximation for Markov chains using Stein's method



Cites Work

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  • An introduction to the theory of point processes
  • On the number of high excursions of linear growth processes
  • A general stochastic model for nucleation and linear growth
  • A probabilistic model for the time to unravel a strand of dna
  • A limit theorem for the replication time of a DNA molecule
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