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On a weighted embedding for generalized pontograms.

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Publication:1877512
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DOI10.1016/S0304-4149(00)00002-8zbMath1045.60031MaRDI QIDQ1877512

Han-Qin Zhang

Publication date: 7 September 2004

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


zbMATH Keywords

Brownian bridgerenewal processesstrong approximationpontogramchangepoint problem


Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Functional limit theorems; invariance principles (60F17) Renewal theory (60K05)




Cites Work

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  • On a weighted embedding for pontograms
  • Invariance principles for renewal processes
  • On the distributions of \(L_ p\) norms of weighted uniform empirical and quantile processes
  • Invariance principles for changepoint problems
  • Weak convergence of weighted empirical type processes under contiguous and changepoint alternatives
  • An extension of the Csörgő-Horváth functional limit theorem and its applications to changepoint problems
  • Nonparametric tests for nonstandard change-point problems
  • Some recent developments concerning asymptotic distributions of pontograms
  • Asymptotic distributions of pontograms
  • Alignments in two-dimensional random sets of points


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