Precedence-type test based on the Nelson-Aalen estimator of the cumulative hazard function
dc.contributor.author | Galloway, Katherine Anne Forsyth | |
dc.contributor.examiningcommittee | Muthukumarana, Saman (Statistics) Lix, Lisa (Community Health Sciences) | en_US |
dc.contributor.supervisor | Davies, Katherine (Statistics) | en_US |
dc.date.accessioned | 2013-07-03T20:47:41Z | |
dc.date.available | 2013-07-03T20:47:41Z | |
dc.date.issued | 2013-07-03 | |
dc.degree.discipline | Statistics | en_US |
dc.degree.level | Master of Science (M.Sc.) | en_US |
dc.description.abstract | In 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.note | October 2013 | en_US |
dc.identifier.uri | http://hdl.handle.net/1993/21696 | |
dc.language.iso | eng | en_US |
dc.rights | open access | en_US |
dc.subject | Nonparametric procedures | en_US |
dc.subject | Precedence test | en_US |
dc.subject | Nelson-Aalen estimator | en_US |
dc.subject | Kaplan-Meier estimator | en_US |
dc.subject | Type-II right censoring | en_US |
dc.subject | Progressive Type-II right censoring | en_US |
dc.subject | Life-testing | en_US |
dc.title | Precedence-type test based on the Nelson-Aalen estimator of the cumulative hazard function | en_US |
dc.type | master thesis | en_US |