Estimating the total number of software failures using an exponential model

Authors:
John D. Musa;A. Iannino
Affiliations:
AT&T Bell Laboratories, Murray Hill, New Jersey;Pipeline Associates, Inc., Morris Plains, New Jersey
Venue:
ACM SIGSOFT Software Engineering Notes
Year:
1991

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Abstract

Different approaches to estimating the total number of failures parameter for the Jelinski-Moranda model are considered. The maximum likelihood estimator, a harmonic jackknife maximum likelihood estimator, and a simple Bayesian estimator are studied. None of these is found to be entirely satisfactory, each suffering from either infinite estimates and/or severe bias in small to moderate samples. The purpose of this paper is to summarize this work, in order to stimulate a search for better estimators.