A note on invariance principles for v. Mises' statistics

M. Denker, C. Grillenberger, G. Keller

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


We extend Filippova's result on weak convergence of v. Mises' functionals and prove a weak invariance principle. Applications to U-statistics are given and extensions to contiguity and weakly dependent processes are briefly discussed.

Original languageEnglish (US)
Pages (from-to)197-214
Number of pages18
Issue number1
StatePublished - Dec 1985

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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