Identifying an Unknown Static Process Having Uniformly Distributed Observational Errors,

Abstract

The problem of identifying a black box having uniformly distributed errors in the observations is investigated. In particular, those black boxes are studied for which the space of candidate models is infinite dimensional. Since such black boxes cannot be identified deterministically by using a finite amount of data, the concept of a probability of identification is followed. An adequacy criterion for modeling is defined in which a model is adequate provided it passes a finite sequence of tests, the length of which depends on the desired probability of identification. An algorithm is presented for determining an adequate model within the space of polynomial functions.

Document Details

Document Type
Technical Report
Publication Date
Apr 02, 1975
Accession Number
ADA008551

Entities

People

  • Harold L. Stalford

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Identification
  • Mathematics
  • Observation
  • Polynomials
  • Probability

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Approximation Theory.

Technology Areas

  • Space