• DocumentCode
    1158109
  • Title

    Parameter Estimation Using Least-Squares Polynomial Smoothing

  • Author

    Budin, Michael A.

  • Issue
    4
  • fYear
    1973
  • fDate
    7/1/1973 12:00:00 AM
  • Firstpage
    371
  • Lastpage
    381
  • Abstract
    This paper considers several aspects of parameter estimation using least-squares polynomial smoothing of noisy observations. These aspects are 1) the choice of estimation times, 2) the simultaneous or independent use of data, and 3) the use of a polynomial of improper degree to fit the observations. Mathematical expressions are presented for determining the significance of these aspects for any case of interest. Examples are included which show the importance of these aspects.
  • Keywords
    Computational efficiency; Data processing; Degradation; Least squares methods; Nonlinear equations; Parameter estimation; Polynomials; Smoothing methods; Taylor series;
  • fLanguage
    English
  • Journal_Title
    Systems, Man and Cybernetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9472
  • Type

    jour

  • DOI
    10.1109/TSMC.1973.4309248
  • Filename
    4309248