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dc.identifier.urihttp://hdl.handle.net/11401/77521
dc.description.sponsorshipThis work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.en_US
dc.formatMonograph
dc.format.mediumElectronic Resourceen_US
dc.language.isoen_US
dc.publisherThe Graduate School, Stony Brook University: Stony Brook, NY.
dc.typeDissertation
dcterms.abstractWith the recent advances in high resolution microarrays and next generation sequencing, DNA copy number can now be profiled in a high throughput global manner. This has enabled the systematic study of DNA copy number alterations in tumors, as well as the profiling of inherited population-wide copy number variants. Studies of DNA copy number usually involve many samples that fall into different groups, e.g. tumor subtype or ethnic group. It is often of interest to find recurrent alterations within each group. We develop a stochastic segmentation model for detecting recurrent DNA copy number alterations in grouped array-CGH data. In our model, the parameter in each regime is a random variable following specific regime-specific distribution. Explicit formulas for posterior means can be used to estimate the signal directly without performing segmentation. We give a linear-time algorithm for fitting this model and for estimating its parameters by expectation maximization. Simulation studies and applications to real grouped array-CGH data illustrate the advantages of the proposed model.
dcterms.available2017-09-20T16:52:51Z
dcterms.contributorXing, Haipengen_US
dcterms.contributorZhu, Weien_US
dcterms.contributorWu, Songen_US
dcterms.contributorXu, Jinfeng.en_US
dcterms.creatorCai, Ying
dcterms.dateAccepted2017-09-20T16:52:51Z
dcterms.dateSubmitted2017-09-20T16:52:51Z
dcterms.descriptionDepartment of Applied Mathematics and Statistics.en_US
dcterms.extent117 pg.en_US
dcterms.formatMonograph
dcterms.formatApplication/PDFen_US
dcterms.identifierhttp://hdl.handle.net/11401/77521
dcterms.issued2013-12-01
dcterms.languageen_US
dcterms.provenanceMade available in DSpace on 2017-09-20T16:52:51Z (GMT). No. of bitstreams: 1 Cai_grad.sunysb_0771E_11633.pdf: 20220251 bytes, checksum: 474d07d78126a4af81d6bb94efa32984 (MD5) Previous issue date: 1en
dcterms.publisherThe Graduate School, Stony Brook University: Stony Brook, NY.
dcterms.subjectStatistics
dcterms.subjectBounded Complexity Mixture Approximation, Expectation Maximization, Hidden Markov Model, Recurrent Copy Number Alterations
dcterms.titleA Stochastic Segmentation Model for Recurrent Copy Number Alterations in Grouped array-CGH Data
dcterms.typeDissertation


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