Sequential Multi-Hypothesis Testing in Software Reliability

J. S. Shieh and Y. L. Tong
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J. S. Shieh: Academia Sinica, Institute of Statistical Science
Y. L. Tong: Academia Sinica, Institute of Statistical Science

A chapter in Lifetime Data: Models in Reliability and Survival Analysis, 1996, pp 291-298 from Springer

Abstract: 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.

Keywords: Sequential Test; Average Probability; Correct Decision; Software Reliability; Sequential Probability Ratio Test (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-5654-8_38

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DOI: 10.1007/978-1-4757-5654-8_38

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