Symmetric modeling in system identification

The paper is concerned with the realization problem for linear dynamic errors-in-variables models where the component processes of the noise term are mutually uncorrelated. The analysis is based on the second moments of the observations.

[1]  H. Akaike,et al.  On the use of non-gaussian process in the identification of a linear dynamic system , 1966 .

[2]  Brian D. O. Anderson,et al.  Dynamic errors-in-variables systems with three variables , 1987, Autom..

[3]  S. Bittanti.  Time series and linear systems , 1986 .

[4]  Eugen Nowak.  Global identification of the dynamic shock-error model , 1985 .

[5]  T. W. Anderson.  Estimating Linear Statistical Relationships , 1984 .

[6]  J. H. van Schuppen,et al.  The weak and strong Gaussian probabilistic realization problem , 1983 .

[7]  S. S. Wilks,et al.  Linear Regression Analysis of Economic Time Series. , 1938 .

[8]  B. Anderson,et al.  Identifiability in dynamic errors-in-variables models , 1983, The 22nd IEEE Conference on Decision and Control.

[9]  O. Reiersøl.  Identifiability of a Linear Relation between Variables Which Are Subject to Error , 1950 .

[10]  Y. Sinai.  Dynamical Systems II , 1989 .

[11]  G. Picci,et al.  Dynamic Factor-Analysis Models for Stationary Processes , 1986 .

[12]  B. Anderson,et al.  Linear dynamic errors-in-variables models : Some structure theory , 1989 .

[13]  Hans-Joachim Mittag,et al.  Lineare Modelle mit fehlerbehafteten Daten , 1986 .

[14]  R. E. Kalman,et al.  Chapter 2 - Identifiability and Modeling in Econometrics† ,‡ , 1983 .

[15]  Karl Pearson F.R.S..  LIII. On lines and planes of closest fit to systems of points in space , 1901 .

[16]  R. Frisch.  Statistical confluence analysis by means of complete regression systems , 1934 .

[17]  Manfred Deistler,et al.  Linear errors-in-variables models , 1984 .

[18]  P. Feder.  Numerical Techniques for Stochastic Systems , 1981 .

[19]  Jan de Leeuw,et al.  The rank of reduced dispersion matrices , 1985 .

[20]  Jan C. Willems,et al.  From time series to linear system - Part III: Approximate modelling , 1987, Autom..

[21]  R. J. Adcock.  A Problem in Least Squares , 1878 .

[22]  C. Spearman.  General intelligence Objectively Determined and Measured , 1904 .

[23]  Olav Reiersol,et al.  Confluence Analysis by Means of Lag Moments and Other Methods of Confluence Analysis , 1941 .

[24]  E. Hannan,et al.  The statistical theory of linear systems , 1989 .

[25]  Jan C. Willems,et al.  From time series to linear system - Part I. Finite dimensional linear time invariant systems , 1986, Autom..

[26]  P. Whittle,et al.  Latent Variables in Socio‐Economic Models , 1978 .

[27]  Klaus Neumann,et al.  Identification in Dynamic Shock-Error Models , 1979 .

[28]  Brian D. O. Anderson,et al.  Identification of scalar errors-in-variables models with dynamics , 1985, Autom..