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On sampling inspection plans

  • Yukio Suzuki
Article

Conclusion

In D.R.S.I.P., the sampling inspection plan adopted has no relation with the state of the production process except its average fraction defective. We think this fact shows an important weak-point of Dodge-Remng's plan. In this paper, we have shown another sampling scheme, where we use more information about the production process, given in the form of the a priori distribution. Therefore, in actual case, it is important to estimate the a priori distribution as exactly as possible. The role of the a prior distribution in sampling inspection plan was emphasized by G. A. Barnard [3].

Keywords

Loss Function Strict Inequality Average Fraction Total Risk Optimal Sample Size 

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References

  1. [1]
    Anscombe, F. J., “Rectifying Inspection of a Continuous Output,”Journal of American Statistical Association, Vol. 53, No. 283 (1958).MathSciNetCrossRefGoogle Scholar
  2. [2]
    Karlin, Samuel and Herman, Rubin, “The Theory of Decision Procedures for Distributions with Monotone Likelihood Ratio,”Annals of Mathematical Statistics, Vol. 27, No. 2 (1956).MathSciNetCrossRefGoogle Scholar
  3. [3]
    Barnard, G. A., “Sampling Inspection and Statistical Decisions,”Journal of the Royal Statistical Society, Series B, Vol. 16, No. 2 (1954), pp. 151–165. Discussion on the paper, ibid., pp. 166–174.MathSciNetzbMATHGoogle Scholar

Copyright information

© The Institute of Statistical Mathematics, Tokyo 1959

Authors and Affiliations

  • Yukio Suzuki
    • 1
  1. 1.The Institute of Statistical MathematicsJapan

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