Precedence-type test based on the Nelson-Aalen estimator of the cumulative hazard function

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dc.contributor.authorGalloway, Katherine Anne Forsyth
dc.contributor.examiningcommitteeMuthukumarana, Saman (Statistics) Lix, Lisa (Community Health Sciences)en_US
dc.contributor.supervisorDavies, Katherine (Statistics)en_US
dc.date.accessioned2013-07-03T20:47:41Z
dc.date.available2013-07-03T20:47:41Z
dc.date.issued2013-07-03
dc.degree.disciplineStatisticsen_US
dc.degree.levelMaster of Science (M.Sc.)en_US
dc.description.abstractIn reliability studies, the goal is to gain knowledge about a product's failure times or life expectancy. Precedence tests do not require large sample sizes and are used in reliability studies to compare the life-time distributions from two samples. Precedence tests are useful since they provide reliable results early in a life-test and the surviving units can be used in other tests. Ng and Balakrishnan (2010) proposed a precedence-type test based on the Kaplan-Meier estimator of the cumulative distribution function. A precedence-type test based on the Nelson-Aalen estimator of the cumulative hazard function has been proposed. This test was developed for both Type-II right censoring and progressive Type-II right censoring. Numerical results, including illustrative examples, critical values and a power study have been provided. The results from this test were compared with those from the test based on the Kaplan-Meier estimator.en_US
dc.description.noteOctober 2013en_US
dc.identifier.urihttp://hdl.handle.net/1993/21696
dc.language.isoengen_US
dc.rightsopen accessen_US
dc.subjectNonparametric proceduresen_US
dc.subjectPrecedence testen_US
dc.subjectNelson-Aalen estimatoren_US
dc.subjectKaplan-Meier estimatoren_US
dc.subjectType-II right censoringen_US
dc.subjectProgressive Type-II right censoringen_US
dc.subjectLife-testingen_US
dc.titlePrecedence-type test based on the Nelson-Aalen estimator of the cumulative hazard functionen_US
dc.typemaster thesisen_US
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