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Theory and Method

A Prediction Interval Approach to Obtaining Variables Sampling Plans for Small Lots: Single Sampling from Gaussian Processes

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Pages 585-592 | Received 01 Apr 1975, Published online: 05 Apr 2012

References

  • Cameron , Joseph M. 1952 . “Tables for Constructing and for Computing the Operating Characteristics of Single Sampling Plans,” . Industrial Control , 9 : 37 – 9 .
  • Cooper , B. E. 1968 . “The Integral of a Non-Central t-distribution,” . Journal of the Royal Statistical Society , 17 ( 2 ) : 193 – 4 . Ser. C.
  • Ellis , E. W. “Double Zero Attribute Sampling Plans,” . Annual Technical Conference Transactions . pp. 340 – 7 . American Society for Quality Control .
  • Fertig , Kenneth W. and Mann , Nancy R. 1972 . “Finite-Lots Variables Sampling Plans Applicable When the Underlying Manufacturing Process Is Normal,” , Canoga Park , Calif. : Rocketdyne . Research Report RR72–03
  • Mann , Nancy R. 1974a . “A Decision-Theoretic Approach to Defining Variables Sampling Plans for Finite Lots: Single Sampling for Exponential and Gaussian Processes,” . Journal of the American Statistical Association , 69 : 665 – 71 .
  • Mann , Nancy R. 1974b . “A Prediction-Interval Approach to Defining Variables Sampling Plans for Finite Lots Required to Be of High Quality: Single Sampling for Gaussian Processes,” , Canoga Park , Calif. : Rocketdyne . Research Report RR74–07
  • Mann , Nancy R. 1975 . “The Determination of One-Sided Prediction Intervals for Normal and Lognormal Distributions, with Tables,” . In Reliability and Fault-Tree Analysis , Edited by: Barlow , R. , Fussell , J. B. and Singpurwalla , N. D. Philadelphia : SIAM Series in Applied Mathematics .
  • Mann , Nancy R. 1977 . “One-Sided Prediction Intervals for Normal and Log-Normal Distributions, with Tables–II,” . Technometrics , 19 : 167 – 77 .
  • Hahn , Gerald J. 1969 . “Factors for Calculating Two-Sided Prediction Intervals for Samples from a Normal Distribution,” . Journal of the American Statistical Association , 64 : 878 – 88 .
  • Hahn , Gerald J. 1970 . “Additional Factors for Calculating Prediction Intervals for Samples from a Normal Population,” . Journal of the American Statistical Association , 65 ( 332 ) : 1668 – 76 .
  • Hill , I. J. and Prairie , R. R. 1973 . “One-Sided Prediction Intervals to Contain at Least m out of k Future Observations,” . Technometrics , 15 ( 4 ) : 887 – 914 .
  • Lieberman , Gerald J. and Owen , Donald B. 1961 . Tables of the Hypergeometric Probability Distribution , Stanford , Calif. : Stanford University Press .
  • Mann , Nancy R. , Schafer , Ray E. and Singpurwalla , Nozer D. 1974 . Methods for Statistical Analysis of Reliability and Life Data , New York : John Wiley & Sons .
  • Muller , D. E. 1956 . “A Method for Solving Algebraic Equations Using an Automatic Computer,” . Mathematical Tables and Computations , 10 : 208 – 15 .
  • Ogden , John E. 1968 . “Small Lot Sampling Plans Based upon the Hypergeometric Probability Distribution,” Internal Report No. X8–847/201, of Autonetics, a Division of Rockwell International

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