Asymptotic Error Bounds for Power Approximations to Multinomial Tests of Fit

  • F. C. Drost
  • W. C. M. Kallenberg
  • D. S. Moore
  • J. Oosterhoff


The Cressie-Read (1984) class of goodness-of-fit tests is considered. Asymptotic error bounds are derived for two new non-local approximations, the classical noncentral X 2 approximation, a moment-corrected version of it and normal approximations to the power of these tests.


Normal Approximation Error Bound Asymptotic Normality Power Approximation Orthogonal Transformation 
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Copyright information

© Springer-Verlag New York, Inc. 1989

Authors and Affiliations

  • F. C. Drost
    • 1
  • W. C. M. Kallenberg
    • 2
  • D. S. Moore
    • 3
  • J. Oosterhoff
    • 4
  1. 1.Economic InstituteUniversity of TilburgThe Netherlands
  2. 2.Dept. of Applied MathematicsUniversity of TwenteEnschedeThe Netherlands
  3. 3.Dept. of StatisticsPurdue UniversityWest LafayetteUSA
  4. 4.Dept. of Applied Mathematics and Computer ScienceFree UniversityAmsterdamThe Netherlands

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