Sieves, Signal Extraction, and Design

Abstract

This report reviews the research completed under this grant. The areas covered include: (a) Sieve estimation for the mean and the covariance of a Gaussian process; (b) Stochastic signal extraction and a zero-one law of M. Driscol; and (c) The problem of confounding in factorial experiments. Parts (a) and (b) have been conducted without any assumptions whatever on the 'time' parameter underlying the process. Work on part of the set of levels of each factor; in certain cases, the problem of confounding is shown to be related to the Hadamard matrix problem. Keywords: Confounding; Consistency; Factorial experiment; Gaussian process; Hadamard matrix; Reproducing kernel Hilbert space; Sieve; Simulation; Stochastic signal; Zero-one law.

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Document Details

Document Type
Technical Report
Publication Date
Jan 04, 1989
Accession Number
ADA205840

Entities

People

  • Jay H. Beder

Organizations

  • University of Wisconsin–Milwaukee

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Combinatorial Analysis
  • Computational Science
  • Computer Science
  • Computer Simulations
  • Covariance
  • Data Science
  • Estimators
  • Extraction
  • Gaussian Processes
  • Hilbert Space
  • Information Science
  • Mathematics
  • Numbers
  • Simulations
  • Statistical Inference
  • Statistics

Readers

  • Approximation Theory.
  • Regression Analysis.

Technology Areas

  • Space