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Invariance principles for the first passage times of perturbed random walks

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Publication:1573261
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DOI10.1016/S0167-7152(00)00015-8zbMath0960.60033OpenAlexW2043652956MaRDI QIDQ1573261

Lars Larsson-Cohn

Publication date: 10 August 2000

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

Full work available at URL: https://doi.org/10.1016/s0167-7152(00)00015-8


zbMATH Keywords

weak convergenceBrownian motionrenewal theorySkorokhod topologies


Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17)




Cites Work

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  • A nonlinear renewal theory with applications to sequential analysis. I
  • A nonlinear renewal theory with applications to sequential analysis II
  • Stopped two-dimensional perturbed random walks and Lévy processes
  • On the asymptotic distribution of the sum of a random number of independent random variables
  • First passage times for perturbed random walks
  • Weak convergence of probability measures and random functions in the function space D[0,∞)
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