Cumulative Sum Control Charts for Censored Reliability Data

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dc.contributor.authorOlteanu, Denisa Ancaen
dc.contributor.committeecochairVining, G. Geoffreyen
dc.contributor.committeecochairWoodall, William H.en
dc.contributor.committeememberKowalski, Scott M.en
dc.contributor.committeememberBirch, Jeffrey B.en
dc.contributor.departmentStatisticsen
dc.date.accessioned2014-03-14T20:09:01Zen
dc.date.adate2010-04-28en
dc.date.available2014-03-14T20:09:01Zen
dc.date.issued2010-04-01en
dc.date.rdate2010-04-28en
dc.date.sdate2010-04-06en
dc.description.abstractCompanies routinely perform life tests for their products. Typically, these tests involve running a set of products until the units fail. Most often, the data are censored according to different censoring schemes, depending on the particulars of the test. On occasion, tests are stopped at a predetermined time and the units that are yet to fail are suspended. In other instances, the data are collected through periodic inspection and only upper and lower bounds on the lifetimes are recorded. Reliability professionals use a number of non-normal distributions to model the resulting lifetime data with the Weibull distribution being the most frequently used. If one is interested in monitoring the quality and reliability characteristics of such processes, one needs to account for the challenges imposed by the nature of the data. We propose likelihood ratio based cumulative sum (CUSUM) control charts for censored lifetime data with non-normal distributions. We illustrate the development and implementation of the charts, and we evaluate their properties through simulation studies. We address the problem of interval censoring, and we construct a CUSUM chart for censored ordered categorical data, which we illustrate by a case study at Becton Dickinson (BD). We also address the problem of monitoring both of the parameters of the Weibull distribution for processes with right-censored data.en
dc.description.degreePh. D.en
dc.identifier.otheretd-04062010-133834en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-04062010-133834/en
dc.identifier.urihttp://hdl.handle.net/10919/26665en
dc.publisherVirginia Techen
dc.relation.haspartOlteanu_DA_D_2010.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectCensored Dataen
dc.subjectCUSUM Chartsen
dc.subjectLifetime Dataen
dc.subjectMultinomial Distributionen
dc.subjectWeibull Distributionen
dc.titleCumulative Sum Control Charts for Censored Reliability Dataen
dc.typeDissertationen
thesis.degree.disciplineStatisticsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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