Journal of Statistical Physics

, Volume 44, Issue 1, pp 67–93

Rigorous statistical procedures for data from dynamical systems

  • Manfred Denker
  • Gerhard Keller

DOI: 10.1007/BF01010905

Cite this article as:
Denker, M. & Keller, G. J Stat Phys (1986) 44: 67. doi:10.1007/BF01010905


Various questions about the invariant measures of a dynamical system can be answered by computations of regular functionals or by ranking methods based on a set of observations. This includes symmetry tests and the determination of dimension coefficients. The paper contains the theoretical results and several simulations explain the methods.

Key words

Dynamical systemsinvariant measureHausdorff dimensionsymmetric densitiesU statisticsrank statistics

Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • Manfred Denker
    • 1
  • Gerhard Keller
    • 2
  1. 1.Institut fuer Mathematische StochastikGeorg-August-UniversitaetGoettingenGermany
  2. 2.Institut fuer Angewandte MathematikHeidelbergGermany