Files in this item
Harmonic mean estimates for recapture debugging
Item metadata
dc.contributor.advisor | Goudie, I.B.J. | en |
dc.contributor.author | Al-Harbi, Abdulghani A. Ghonaim | en |
dc.coverage.spatial | 64p | en |
dc.date.accessioned | 2021-04-08T08:37:33Z | |
dc.date.available | 2021-04-08T08:37:33Z | |
dc.date.issued | 1990 | |
dc.identifier.uri | https://hdl.handle.net/10023/21793 | |
dc.description.abstract | In this thesis we examine the problem of estimating the number of errors (bugs) in a reliability system using the recapture debugging model suggested by Nayak (1988). The reliability system contains a certain number N of errors. Each causes system failures independently of the others. The times between failures for any bug are assumed to be independent exponential random variables with a parameter X common to all bugs. We assume the system is observed for a fixed length of time. The maximum likelihood estimate of N was considered by Nayak. We derive the profile likelihood interval for N, and consider as a point estimate the harmonic mean of the endpoints. This estimate was used for the Jelinski-Moranda model by Joe and Reid (1985). The exact probability distribution of the harmonic mean estimator is computed. A generalization of the harmonic mean estimate, called the weighted harmonic mean estimate is proposed as a further improvement. A comparison is drawn between this estimator and the maximum likelihood estimator, using their computed distributions for various values of N. | en |
dc.language.iso | en | en |
dc.publisher | University of St Andrews | en |
dc.subject.lcc | QA276.8A6 | |
dc.subject.lcsh | Estimation theory | en |
dc.title | Harmonic mean estimates for recapture debugging | en |
dc.type | Thesis | en |
dc.type.qualificationlevel | Doctoral | en |
dc.type.qualificationname | MSc Master of Science | en |
dc.publisher.institution | The University of St Andrews | en |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.