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dc.contributor.advisorChairperson, Graduate Committee: Robert J. Boiken
dc.contributor.authorHyde, Scott Kohleren
dc.date.accessioned2013-06-25T18:38:08Z
dc.date.available2013-06-25T18:38:08Z
dc.date.issued2004en
dc.identifier.urihttps://scholarworks.montana.edu/xmlui/handle/1/1532en
dc.description.abstractThe main goal of this dissertation is to present extensions to the robust estimation of multivariate location and scatter. These extensions include the estimation of structured scatter matrices embedded in a multivariate fixed effects model. Two different kinds of robust estimators are investigated. The first is based on Maronna's M-estimators of multivariate location and scatter (Maronna 1976). The second is a multivariate extension of the S-estimators introduced by Rousseeuw and Yohai (1984). In addition, asymptotic distributions of the estimators are derived from an estimating function approach. The sandwich estimator of the asymptotic variance is given, coupled with second order corrections to the bias of the estimators. Two different data sets are used to illustrate the techniques of the dissertation. A comparison of the new algorithms to Ruppert's SURREAL algorithm is made for each example. Models are fit to illustrate the flexibility of the new estimators. In addition, the sandwich estimate of the asymptotic variance is given for the examples. Simulations are performed evaluating the effectiveness of the estimators.en
dc.language.isoenen
dc.publisherMontana State University - Bozeman, College of Letters & Scienceen
dc.subject.lcshEstimation theory.en
dc.subject.lcshMultivariate analysis.en
dc.titleRobust methods for multivariate linear models with spectral models for scatter matricesen
dc.typeDissertationen
dc.rights.holderCopyright 2004 by Scott Kohler Hydeen
thesis.catalog.ckey1169296en
thesis.degree.committeemembersMembers, Graduate Committee: Steve Cherry; John Borkowski; James Robison-Coxen
thesis.degree.departmentMathematical Sciences.en
thesis.degree.genreDissertationen
thesis.degree.namePhDen
thesis.format.extentfirstpage1en
thesis.format.extentlastpage293en


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