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The Robustness of Two-Sided Tolerance Limits for Normal Distributions

Summary: The robustness of two-sided tolerance limits for normal distributions is examined based on a computer simulation in which the Student's t and gamma distributions are used as generating models. Results indicate that the normal tolerance limits are sensitive to departures from normality when k-factors are selected for coverages in excess of 0.9. Reasonable robustness is achieved for coverages of 0.9, as long as the underlying distribution is not extremely heavy-tailed nor highly skewed.

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  • Topics: Statistics
  • Keywords: Statistics,Normal distribution
  • Author: Canavos, George C.; Koutrouvelis, Ioannis A.
  • Journal: Journal of Quality Technology