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An approximate lower tolerance bound for the three-parameter Weibull applied to lumber property characterization

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  • Johnson, Richard A.
  • Haskell, James H.

Abstract

We investigate a large sample approach for obtaining tolerance bounds where the underlying population is a three-parameter Weibull distribution. Accurate tolerance bounds could play an important role in the development of lumber standards. Properties of the maximum likelihood based approach are compared with those of the standard nonparametric tolerance procedure. The asymptotic normal approximation to the tolerance bound was found to be inadequate for most of the cases considered.

Suggested Citation

  • Johnson, Richard A. & Haskell, James H., 1984. "An approximate lower tolerance bound for the three-parameter Weibull applied to lumber property characterization," Statistics & Probability Letters, Elsevier, vol. 2(2), pages 67-76, March.
  • Handle: RePEc:eee:stapro:v:2:y:1984:i:2:p:67-76
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    Cited by:

    1. Brannas, Kurt, 1995. "Prediction and control for a time-series count data model," International Journal of Forecasting, Elsevier, vol. 11(2), pages 263-270, June.

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