A Review of Distributional Testing Procedures and Development of a Censored Sample Distributional Test

  • Samuel S. Shapiro
  • Carlos W. Brain
Part of the NATO Advanced study Institutes Series book series (ASIC, volume 79)


A review of recent procedures for tests of distributional assumptions is given. Test procedures are grouped into three categories: regression type tests, probability integral transformation tests and special feature tests. The application of regression tests to distributions with location and shape parameters with emphasis on the normal, multivariate normal, exponential, and Weibull distributions and the advantages and limitations of recently improved EDF procedures are discussed. Tests which use characteristics unique to each of the normal, exponential, gamma, extreme value and Weibull distributions are also discussed.

Key Words

distributional tests W tests EDF tests censored samples 


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Copyright information

© D. Reidel Publishing Company 1981

Authors and Affiliations

  • Samuel S. Shapiro
    • 1
  • Carlos W. Brain
    • 1
  1. 1.Department of Mathematical SciencesFlorida International University MiamiMiamiUSA

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