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Probability Approximations and Inequalities for Sequential Tests

In: Lifetime Data: Models in Reliability and Survival Analysis

Author

Listed:
  • Joseph Glaz

    (University of Connecticut, Department of Statistics
    Response Analysis)

  • James R. Kenyon

    (University of Connecticut, Department of Statistics
    Response Analysis)

Abstract

In this article accurate inequalities for tail probabilities of stopping times of sequential tests will be discussed. These inequalities will be utilized to derive approximations for the overall significance level, power function, expected number and the variance of observations needed to implement the test, the P-value and the approximate confidence interval for the parameter tested. Numerical results for the triangular boundary test for normal observations are presented. Applications to reliability theory are briefly mentioned.

Suggested Citation

  • Joseph Glaz & James R. Kenyon, 1996. "Probability Approximations and Inequalities for Sequential Tests," Springer Books, in: Nicholas P. Jewell & Alan C. Kimber & Mei-Ling Ting Lee & G. A. Whitmore (ed.), Lifetime Data: Models in Reliability and Survival Analysis, pages 99-106, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4757-5654-8_15
    DOI: 10.1007/978-1-4757-5654-8_15
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