On Gambler's ruin problem in some models

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buir.advisorKerimov, Azer
dc.contributor.authorSevim, Çiğdem
dc.date.accessioned2016-07-01T11:03:16Z
dc.date.available2016-07-01T11:03:16Z
dc.date.issued2005
dc.departmentDepartment of Mathematicsen_US
dc.descriptionCataloged from PDF version of article.en_US
dc.description.abstract2-player probability games is an important subject of probability theory. In this thesis, we considered four different two-player probability games. We calculated the expected value of stopping times of the games. Since the rules of the games are complicated and it is not possible to calculate all possible shuffles, we calculated the results using the Monte Carlo method on a computer. We showed that the expected value of duration of the games are of the order square of number of cards as we expected.en_US
dc.description.degreeM.S.en_US
dc.description.provenanceMade available in DSpace on 2016-07-01T11:03:16Z (GMT). No. of bitstreams: 1 0002897.pdf: 258302 bytes, checksum: 99d7a2dce0f988c35a2acc5629314e48 (MD5) Previous issue date: 2005en
dc.description.statementofresponsibilitySevim, Çiğdemen_US
dc.format.extentviii, 59 leavesen_US
dc.identifier.itemidBILKUTUPB093102
dc.identifier.urihttp://hdl.handle.net/11693/29688
dc.language.isoEnglishen_US
dc.publisherBilkent Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectProbability Gamesen_US
dc.subjectRandom Numbersen_US
dc.subjectExpected Durationen_US
dc.subjectMonte Carlo Methoden_US
dc.subject.lccQA273 .S48 2005en_US
dc.subject.lcshProbabilities.en_US
dc.titleOn Gambler's ruin problem in some modelsen_US
dc.typeThesisen_US

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Dept. of Mathematics - Master's degree