Analysis Of Sequential Barycenter Random Probability Measures via Discrete Constructions Metadata

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  • Main Title Analysis Of Sequential Barycenter Random Probability Measures via Discrete Constructions


  • Author: Valdes, LeRoy I.
    Creator Type: Personal


  • Chair: Monticino, Michael G.
    Contributor Type: Personal
    Contributor Info: Major Professor
  • Committee Member: Quintanilla, John
    Contributor Type: Personal
  • Committee Member: Brand, Neal
    Contributor Type: Personal


  • Name: University of North Texas
    Place of Publication: Denton, Texas


  • Creation: 2002-12
  • Digitized: 2007-07-20


  • English


  • Content Description: Hill and Monticino (1998) introduced a constructive method for generating random probability measures with a prescribed mean or distribution on the mean. The method involves sequentially generating an array of barycenters that uniquely defines a probability measure. This work analyzes statistical properties of the measures generated by sequential barycenter array constructions. Specifically, this work addresses how changing the base measures of the construction affects the statististics of measures generated by the SBA construction. A relationship between statistics associated with a finite level version of the SBA construction and the full construction is developed. Monte Carlo statistical experiments are used to simulate the effect changing base measures has on the statistics associated with the finite level construction.


  • Library of Congress Subject Headings: Probability measures.
  • Library of Congress Subject Headings: Mathematical statistics.
  • Library of Congress Subject Headings: Monte Carlo method.
  • Keyword: Random probability measures
  • Keyword: mathematical statistics
  • Keyword: Monte Carlo simulations


  • Name: UNT Theses and Dissertations
    Code: UNTETD


  • Name: UNT Libraries
    Code: UNT


  • Rights Access: public
  • Rights License: copyright
  • Rights Holder: Valdes, LeRoy I.
  • Rights Statement: Copyright is held by the author, unless otherwise noted. All rights reserved.

Resource Type

  • Thesis or Dissertation


  • Text


  • OCLC: 52101671
  • Archival Resource Key: ark:/67531/metadc3304


  • Degree Name: Doctor of Philosophy
  • Degree Level: Doctoral
  • Degree Discipline: Mathematics
  • Academic Department: Department of Mathematics
  • Degree Grantor: University of North Texas