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Biometrika 1990 77(1):203-206;
© 1990 by Biometrika Trust
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MISCELLANEA

A likelihood-based stopping rule for recapture debugging

I. B. J. GOUDIE

Department of Mathematical Sciences, University of St Andrews St Andrews, KYI6 9SS, U.K.

Received for publication 1 August 1988. Revision received 1 July 1989.
   Abstract

Consideration is given to determining when all the faults in a reliability system have been detected, assuming the use of the recapture debugging procedure introduced by Nayak (1988). A stopping rule based on the likelihood ratio is proposed. Compared to the stopping rule suggested by Nayak, this likelihood-based rule makes better use of the available information, and, for a given error level, yields a small reduction in the average time taken to reach a decision. A generalization is suggested for the situation where the faults in the software can be categorized into two or more classes, between which detection rates are permitted to differ.

Key Words: Average time to termination • Likelihood ratio • Markov chain • Software reliability


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