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Tolerance Intervals With Improved Coverage Probabilities for Binomial and Poisson Variables

Summary: [This abstract is based on the authors' abstract.] Inaccurate estimation of coverage probabilities leads to improper construction of tolerance intervals critical in industrial applications. Procedures are proposed to compute the exact minimum and average coverage probabilities of the tolerance intervals for Poisson and binomial variables. Using these procedures, improved tolerance intervals are presented to ensure true minimum or average coverage probabilities are close to the nominal levels.

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  • Topics: Quality Control
  • Keywords: Binomial distribution, Poisson distribution, Tolerance, Interval estimation, Quality control (QC)
  • Author: Wang, Hsiuying; Tsung, Fugee
  • Journal: Technometrics