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Sequential Multi-Hypothesis Testing in Software Reliability

In: Lifetime Data: Models in Reliability and Survival Analysis

Author

Listed:
  • J. S. Shieh

    (Academia Sinica, Institute of Statistical Science
    Georgia Institute of Technology, School of Mathematics)

  • Y. L. Tong

    (Academia Sinica, Institute of Statistical Science
    Georgia Institute of Technology, School of Mathematics)

Abstract

We propose a sequential method for solving the multi-hypothesis testing problem in software reliability, and derive tests for the parameters involved under the Jelinski-Moranda, Shick-Wolverton, the geometric error detection rate, and the error-content proportional detection rate models. Sequential tests are obtained by applying a generalized Wald’s sequential probability ratio test due to Bechhofer, Kiefer and Sobel (1968), and they guarantee an average probability of correct decision to be at least 1 − β (preassigned) when sampling terminates and a given terminal decision rule is applied. This new approach represents a natural application of classical results in sequential analysis to the (relatively new) area of software reliability testing.

Suggested Citation

  • J. S. Shieh & Y. L. Tong, 1996. "Sequential Multi-Hypothesis Testing in Software Reliability," 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 291-298, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4757-5654-8_38
    DOI: 10.1007/978-1-4757-5654-8_38
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