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Linear dynamic errors-in-variables models. Some structure theory. (English) Zbl 0697.62104

The paper surveys recent results on identification problems for linear dynamic errors-in-variables-models. First, the authors state the general problem under the assumption that the noise components of the model are mutually uncorrelated. This section is followed by the analysis of single-input-single-output-systems. After formulating the model, the authors present causal solutions and conditions for identifiability.
Part 4 of the paper is concerned with the three-variables case and part five extends this type of model to vector-input-vector-output-systems under the assumption that input and output noise are uncorrelated. In the final section emphasis is given to the non-Gaussian case and it is shown how higher-order moments can be used for identifiability.
Reviewer: H.S.Buscher

MSC:

62P20 Applications of statistics to economics
62M10 Time series, auto-correlation, regression, etc. in statistics (GARCH)
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[1] M. Aoki: On a Generalization of Tinbergen’s Condition in the Theory of Policy to Dynamic Models, Review of Economic Studies42 (1975), pp. 293-296. · Zbl 0328.90039 · doi:10.2307/2296537
[2] M. Aoki: Optimal Control and System Theory in Dynamic Economic Analysis, New York et al. 1976. · Zbl 0349.90030
[3] M. Aoki, M. Canzoneri: Sufficient Conditions for Control of Target Variables and Assignment of Instruments in Dynamic Macroeconomic Models, International Economic Review20 (1979), pp. 605-616. · Zbl 0424.90009 · doi:10.2307/2526260
[4] R. W. Brockett, M. D. Mesarovi?: The Reproducibility of Multivariable Systems, Journal of Mathematical Analysis and Applications11 (1965), pp. 548-563. · Zbl 0135.31301 · doi:10.1016/0022-247X(65)90104-6
[5] H. Kuhn: Dimensionsdefekte in der Stabilisierungspolitik. Zur Logik des wirtschaftspolitischen ?Zielkonflikts?, Zeitschrift für Nationalökonomie35 (1975), pp. 391-420. · doi:10.1007/BF01284622
[6] L. Nyberg, S. Viotti: Controllability and the Theory of Economic Policy, Journal of Public Economics9 (1978), pp. 73-81. · doi:10.1016/0047-2727(78)90027-0
[7] A. Ocker: Überlegungen zu einer Theorie der Stabilitätspolitik, Zeitschrift für die gesamte Staatswissenschaft133 (1977), pp. 521-541.
[8] A. J. Preston: A Dynamic Generalization of Tinbergen’s Theory of Policy, Review of Economic Studies41 (1974), pp. 65-74. · Zbl 0279.90006 · doi:10.2307/2296399
[9] A. J. Preston, E. Sieper: Policy Objectives and Instrument Requirements for a Dynamic Theory of Policy, in: J. D. Pitchford, S. J. Turnovsky (eds.): Applications of Control Theory to Economic Analysis, Amsterdam et al. 1977, pp. 215-253.
[10] J. Tinbergen: On the Theory of Economic Policy, Amsterdam 1952. · Zbl 0048.12803
[11] S. J. Turnovsky: Macroeconomic Analysis and Stabilization Policy, London et al. 1977. · Zbl 0368.90002
[12] G. Uebe: A Note on Aoki’s Perfect Controllability of a Linear Macroeconomic Model, Review of Economic Studies44 (1977), pp. 191-192. · Zbl 0364.90023 · doi:10.2307/2296986
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