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Technometrics Volume 31, 1989 - Issue 4
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Original Articles

Sample-Size Determination for Two-Sided β-Expectation Tolerance Intervals for a Normal Distribution

Robert E. Odeh Department of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 2Y2, Canada
,
Youn-Min Chou Division of Mathematics, Computer Science, and Statistics, University of Texas, San Antonio, TX, 78285
&
D. B. Owen Department of Statistical Science, Southern Methodist University, Dallas, TX, 75275
Pages 461-468 | Published online: 23 Mar 2012

REFERENCES

  • Albert , G. E. and Johnson , R. B. 1951 . “On the Estimation of Central Intervals Which Contain Assigned Proportions of a Normal Univariate Population,” . The Annals of Mathematical Statistics , 22 : 596 – 599 .
  • Canavos , G. C. and Koutrouvelis , I. A. 1984 . “The Robustness of Two-Sided Tolerance Limits for Normal Distributions,” . Journal of Quality Technology , 16 : 144 – 149 .
  • Faulkenberry , G. D. and Weeks , D. L. 1968 . “Sample Size Determination for Tolerance Limits,” . Technometrics , 10 : 343 – 348 .
  • Guenther , W. C. 1972 . “Tolerance Intervals for Univariate Distributions,” . Naval Research Logistics Quarterly , 19 : 309 – 333 .
  • Guttman , I. , Wilks , S. S. and Hunter , S. 1982 . Introductory Engineering Statistics, , 3rd ed. New York : John Wiley. .
  • Odeh , R. E. , Chou , Y.-M. and Owen , D. B. 1987 . “The Precision for Coverages and Sample Size Requirements for Normal Tolerance Intervals,” . Communications in Statistics, Part B—Simulation and Computation , 16 : 969 – 985 .
  • Wald , A. and Wolfowitz , J. 1946 . “Tolerance Limits for a Normal Distribution,” . The Annals of Mathematical Statistics , 19 : 208 – 215 .
  • Wilks , S. S. 1941 . “Determination of Sample Sizes for Setting Tolerance Limits,” . The Annals of Mathematical Statistics , 12 : 91 – 96 .

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