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dc.contributor.authorSneddon, William Gary.en_US
dc.date.accessioned2014-10-21T12:38:08Z
dc.date.available1998
dc.date.issued1998en_US
dc.identifier.otherAAINQ36562en_US
dc.identifier.urihttp://hdl.handle.net/10222/55573
dc.descriptionIn many physical processes linear models can arise from the discretization of a continuous process in order to describe behavior over an entire field. An important consequence is the models may have more parameters than observations. To alleviate this problem, one can impose a smoothness constraint on the parameters that reflects some prior knowledge of the physical process in order to obtain sensible estimates.en_US
dc.descriptionA linear model is developed that has random explanatory and response variables, and a smoothness penalty is imposed based on the signal-to-noise ratio of the model. Results are presented assuming the value of the ratio is fixed, and when a procedure for estimating its value is used. The estimates perform well using a prediction based criterion in both situations. Robust estimation procedures for the model are also developed.en_US
dc.descriptionThe methods are applied to modelling temperature and salinity data in the California Current, with the goal of using shallow water observations to predict deep ocean readings.en_US
dc.descriptionThesis (Ph.D.)--Dalhousie University (Canada), 1998.en_US
dc.languageengen_US
dc.publisherDalhousie Universityen_US
dc.publisheren_US
dc.subjectStatistics.en_US
dc.titleSmoothing techniques in underdetermined linear models.en_US
dc.typetexten_US
dc.contributor.degreePh.D.en_US
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