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dc.contributor.authorXIao, Yuanhui
dc.date.accessioned2014-03-03T21:04:29Z
dc.date.available2014-03-03T21:04:29Z
dc.date.issued2003-08
dc.identifier.otherxiao_yuanhui_200308_phd
dc.identifier.urihttp://purl.galileo.usg.edu/uga_etd/xiao_yuanhui_200308_phd
dc.identifier.urihttp://hdl.handle.net/10724/21219
dc.description.abstractThis dissertation studies several statistical issues for shot noise processes. A strong law of large numbers and a central limit theorem are derived under very weak conditions. Asymptotics are explored for the case of heavy-tailed shot marks. Optimal estimating equation and moment-type methods are developed for parameter estimation purpose. Asymptotic normality of the proposed estimators is established. Intructive examples are presented and simulations are included for additional feel.
dc.languageeng
dc.publisheruga
dc.rightspublic
dc.subjectShot Noise
dc.subjectLaw of Large Numbers
dc.subjectCentral Limit Theorem
dc.subjectHeavy Tails
dc.subjectInference
dc.subjectEstimating Equations
dc.subjectConditional Expectation
dc.subjectLinear Prediction
dc.subjectConditional Least Sqaures
dc.titleShot noise processes
dc.typeDissertation
dc.description.degreePhD
dc.description.departmentStatistics
dc.description.majorStatistics
dc.description.advisorRobert Lund
dc.description.committeeRobert Lund
dc.description.committeeAnand Vidyashankar
dc.description.committeeLynne Seymour
dc.description.committeeDaniel Hall
dc.description.committeeWilliam P. McCormick


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