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dc.contributor.advisorBickis, Miken_US
dc.creatorXun, Dongen_US
dc.date.accessioned2014-01-21T19:01:29Z
dc.date.available2014-01-21T19:01:29Z
dc.date.created2013-10en_US
dc.date.issued2013-11-20en_US
dc.date.submittedOctober 2013en_US
dc.identifier.urihttp://hdl.handle.net/10388/ETD-2013-10-1275en_US
dc.description.abstractWe have constructed a response adaptive clinical trial to treat patients sequentially in order to maximize the total survival time of all patients. Typically the response adaptive design is based on the urn models or on sequential estimation procedures, but we used a bandit process in this dissertation. The objective of a bandit process is to optimize a measure of sequential selections from several treatments. Each treatment consist of a sequence of conditionally independent and identically distributed random variables, and some of these treatment have unknown distribution functions. For the purpose of this clinical trial, we are focusing on the bandit process with delayed response. These responses are lifetime variables which may be censored upon their observations. Following the Bayesian approach and dynamic programming technique, we formulated a controlled stochastic dynamic model. In addition, we used an example to illustrate the possible application of the main results as well as "R" to implement a model simulation.en_US
dc.language.isoengen_US
dc.subjectBandit processen_US
dc.subjectDelayed responseen_US
dc.subjectCensored lifetimesen_US
dc.subjectBayesian approach.en_US
dc.titleRESPONSE ADAPTIVE CLINICAL TRIALS WITH CENSORED LIFETIMESen_US
thesis.degree.departmentMathematics and Statisticsen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorUniversity of Saskatchewanen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Science (M.Sc.)en_US
dc.type.materialtexten_US
dc.type.genreThesisen_US
dc.contributor.committeeMemberSoteros, Chrisen_US
dc.contributor.committeeMemberLiu, Juxinen_US
dc.contributor.committeeMemberFeng, Cindyen_US


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