Sequential Multi-Hypothesis Testing in Software Reliability
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.
KeywordsSequential Test Average Probability Correct Decision Software Reliability Sequential Probability Ratio Test
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