• DocumentCode
    854178
  • Title

    Strong consistency of ML estimators using partial fraction and elementary subsystem representation of multivariable systems

  • Author

    Keviczky, László ; Bokor, Jozsef ; Veres, Sándor

  • Author_Institution
    Hungarian Academy of Sciences, Budapest, Hungary
  • Volume
    32
  • Issue
    10
  • fYear
    1987
  • fDate
    10/1/1987 12:00:00 AM
  • Firstpage
    867
  • Lastpage
    876
  • Abstract
    The strong consistency of ML estimators for partial fraction matrix (PFM) and elementary subsystem (ESS) representations of vector ARMA processes will be discussed for the case when the structure is overestimated. The main results of the paper are the off-line strong consistency theorems of ML estimators for PFM representation, when the number of poles is overestimated and for the ESS representations when the number of ESS´s associated with the poles is overestimated.
  • Keywords
    Autoregressive moving-average processes; Partial fraction expansions; Transfer function matrices; maximum-likelihood (ML) estimation; Convergence; Electronic switching systems; Estimation theory; Gaussian processes; MIMO; Maximum likelihood estimation; Parameter estimation; Stability; Transfer functions; White noise;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1987.1104465
  • Filename
    1104465