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Sequential test with three possible decisions for testing an unknown probability

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Summary

A three-decisions sequential test developed by Sobel and Wald, is applied for testing an unknown probability. Some simplifications for this case are introduced and the test is compared with another test for the same hypothesis, having fixed sample size.

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References

  1. Sobel, M. and A. Wald, A sequential decision procedure for choosing one of three hypotheses concerning the unknown mean of a normal distribution. The annals of mathematical statistics,20 (1949) 502.

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  2. Wald, A., Sequential analysis, John Wiley and Sons, Inc. N.Y. (1947).

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  3. Tables of the binomial probability distribution, National Bureau of Standards, Applied Mathematics Series,6 (1949).

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Authors and Affiliations

  1. Mathematical Centre, Amsterdam, Netherlands

    J. De Boer

Authors
  1. J. De Boer
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Additional information

Report SP 24 of the Statistical Department of the Mathematical Centre, Amsterdam.

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De Boer, J. Sequential test with three possible decisions for testing an unknown probability. Appl. Sci. Res. 3, 249–259 (1954). https://doi.org/10.1007/BF02123907

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  • DOI: https://doi.org/10.1007/BF02123907

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