Nayak's (1988) model for the detection, removal, and recapture of the errors in a computer program is extended to a larger family of models in which the probabilities that the successive programs produce errors are described by the tail probabilities of discrete distribution on the positive integers. Confidence limits are derived for the probability that the final program produces errors. A comparison of the asymptotic variances of parameter estimates given by the error recapture and by the repetitive-run procedure of Nagel, Scholz, and Skrivan (1982) is made to determine which of these procedures efficiently uses the test time.
","abstract_html":"<p>Nayak's (1988) model for the detection, removal, and recapture of the errors in a computer program is extended to a larger family of models in which the probabilities that the successive programs produce errors are described by the tail probabilities of discrete distribution on the positive integers. Confidence limits are derived for the probability that the final program produces errors. A comparison of the asymptotic variances of parameter estimates given by the error recapture and by the repetitive-run procedure of Nagel, Scholz, and Skrivan (1982) is made to determine which of these procedures efficiently uses the test time.</p>","abstract_has_math":false,"creators":["Gupta, Rajan"],"institution":null,"degree_name":"Doctor of Philosophy (PhD)","degree_level":"Dissertation","degree_discipline":"Mathematics & Statistics","degree_department":null,"school":null,"contributors":["Larry D. Lee","Edward Markowski","Ram C. Dahiya","John P. Morgan"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1991,"date_issued":"1991-01-01T08:00:00Z","date_published":"1991-01-01T08:00:00Z","updated_at":"2026-07-24T03:35:15Z","subjects":["Nayak's model","Software reliability","Estimation","Poisson error","Applied Statistics","Computer Sciences","Mathematics","Probability"],"languages":[],"rights":["In Copyright. URI: http://rightsstatements.org/vocab/InC/1.0/ This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
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"]},{"key":"dc:title","label":"Title","values":["Estimation in a Marked Poisson Error Recapture Model of Software Reliability"]}]}],"canonical_facts":{"dc:contributor":["Larry D. Lee","Edward Markowski","Ram C. Dahiya","John P. Morgan"],"dc:creator":["Gupta, Rajan"],"dc:date.available":["2019-10-01T07:00:00Z"],"dc:description.abstract":["Nayak's (1988) model for the detection, removal, and recapture of the errors in a computer program is extended to a larger family of models in which the probabilities that the successive programs produce errors are described by the tail probabilities of discrete distribution on the positive integers. Confidence limits are derived for the probability that the final program produces errors. A comparison of the asymptotic variances of parameter estimates given by the error recapture and by the repetitive-run procedure of Nagel, Scholz, and Skrivan (1982) is made to determine which of these procedures efficiently uses the test time.
"],"dc:identifier":["https://digitalcommons.odu.edu/mathstat_etds/84"],"dc:rights":["In Copyright. URI: http://rightsstatements.org/vocab/InC/1.0/ This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
"],"dc:subject":["Nayak's model","Software reliability","Estimation","Poisson error","Applied Statistics","Computer Sciences","Mathematics","Probability"],"dc:title":["Estimation in a Marked Poisson Error Recapture Model of Software Reliability"],"thesis:degree_discipline":["Mathematics & Statistics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Doctor of Philosophy (PhD)"]},"updated_at":"2026-07-24T03:35:15Z"}