The Development of Some Stochastic Models of Mathematical Sciences

Abstract

The research accomplishments under the present contract fall in three areas of mathematical sciences: nonparametric probability estimation, environmental problems, and reliability modelings. Utilizing the theory of sample characteristics functions and the Fourier representation of the kernel estimator, we have derived rates of convergence for kernel estimators in a large class of Hilbert spaces. Preliminary results have been obtained on two unresolved problems in the area of penalized maximum-likelihood estimators. The first problem we dealt with is developing the consistency conditions of such estimators. The second accomplishment was the development of an objective criterion for choosing a smoothness parameter. (kr)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1980
Accession Number
ADA215170

Entities

People

  • Chris P. Tsokos

Organizations

  • University of South Florida

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Classification
  • Computations
  • Contracts
  • Convergence
  • Data Science
  • Estimators
  • Hilbert Space
  • Information Science
  • Mathematics
  • Phytoplankton
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Statistical Analysis
  • Statistics

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  • Approximation Theory.
  • Regression Analysis.
  • Technical Research and Report Writing.

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