Stochastic approximation of fixed points

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dc.contributor.advisorWalker, Homer F.
dc.contributor.committeeMemberBrown, Dennison R.
dc.contributor.committeeMemberBatten, George W., Jr.
dc.contributor.committeeMemberPeters, B. Charles
dc.creatorSparra, James L.
dc.date.accessioned2023-09-29T17:40:37Z
dc.date.available2023-09-29T17:40:37Z
dc.date.issued1984
dc.description.abstractA stochastic approximation algorithm for estimating fixed points of a self map of a compact, convex subset of Rp is presented. Sufficient conditions for the almost sure convergence of the algorithm are given. The algorithm is then applied to the statistical problem of obtaining estimates of the proportions in a mixture density.
dc.description.departmentMathematics, Department of
dc.format.digitalOriginreformatted digital
dc.format.mimetypeapplication/pdf
dc.identifier.other11990124
dc.identifier.urihttps://hdl.handle.net/10657/15100
dc.language.isoen
dc.rightsThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.
dc.subjectStochastic approximation
dc.subjectConvergence
dc.subjectEstimation theory
dc.titleStochastic approximation of fixed points
dc.type.dcmiText
dc.type.genreThesis
thesis.degree.collegeCollege of Natural Sciences and Mathematics
thesis.degree.departmentMathematics, Department of
thesis.degree.disciplineMathematics
thesis.degree.grantorUniversity of Houston
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy

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