Tian, Guoqiang (1982): Studies on the identification problem of the simultaneous economic models from viewpoint of unique determination of parameters (I). Published in: Science Exploration , Vol. 3, No. 3 (September 1983): pp. 1324.

PDF
MPRA_paper_41303.pdf Download (581kB)  Preview 
Abstract
Proceeding from the viewpoint that the parameters to be estimated should be uniquely determined, we definite the concepts of the distinction and identification of vectors such that under the basic assumptions of quite general nature, study the identification problem of the contemporaneous models and obtain a number of results. Among them, multicollinearity problem is treated as an identification problem. More noticeable in this paper is the idea of removing the usual assumption that no linear identities connect the exogenous variables. The onestep identification method and twostep identification are introduced. The usual major theorems about the identification for contemporaneous simultaneous models can be treated as special cases of our more general results. Also given in the paper are the concepts of almost identification and completely under identification. The proposal of the concepts of the distinction and identification of vectors is of great significance, in which the identification of economic models is abstractly included; further it has probability of linking up the relation between systems such as economic system, control system and biological system. In our following papers, we will study by using our viewpoints and methods the identification problems of the dynamic models (including the unstable ones), the nonlinear models, the errorshock models (also including the unstable ones) and obtain a number of theorems for the identification which are similar to contemporaneous models and are easy to verify.
Item Type:  MPRA Paper 

Original Title:  Studies on the identification problem of the simultaneous economic models from viewpoint of unique determination of parameters (I) 
Language:  English 
Keywords:  Identification Problem of th Simultaneous Economic Models From Viewpoint of Unique Determination of Parameters (I) 
Subjects:  C  Mathematical and Quantitative Methods > C0  General C  Mathematical and Quantitative Methods > C5  Econometric Modeling 
Item ID:  41303 
Depositing User:  Guoqiang Tian 
Date Deposited:  18. Sep 2012 14:01 
Last Modified:  28. Apr 2015 20:48 
References:  Chow, G.C. (1975), Analysis and Control of Dynamic Economic Systems, New York: John Wiley and Sons. Deistler, M. (1978). The Structural Identifiability of linear Models with Autocorrelated Error in the Case of Affine CrossEquation Restriction, Journal of Econometrics, 8 2331. Fisher. F.M. (1966), The Identification Problem in Econometrics, New York: McGrawHill. Frish. R. (1934) Statistcal Confluence Analysis by Means of Complete Regression Systems, No.5, Universities konomiske Instituit, Oslo. Geraci, V.J. (1976), Identification of Simultaneous Equation Models with Measurement Errors, Journal of Econometrics, 4,262283. Haavelmo, T. (1944), The Probability Approach in Economietrics, Econometrica. Hannan, E.J. (1971), The Identification Problem for Multiple Equation Systems with Moving Average Errors, Econometrica, 44, 713723. Hsiao，（1980）， Identification, Technical Report, No,311,Stanford, California. Hurwicz, L (1950), Generalization of the Concept of Identification, In statistical inference in Dynamic Economic Models, Cowles Commission Monograph 10, New York: John Wiley and Sons. Koopmans, T.C. and O. Reiersol (1950), The Identification of Structural Characteristics, Annals of Mathematical Statistics, 21,165181. Malinvaud, E. (1970), Statistical Methods of Econometrics, 2nd edition, Amsterdam: Northholland. Maravall, A(1979)， Identification in Dynamic ShockError Models, Vlll,159pages. Vol.165, Lecture Notes In Economics and Mathematical Systems, New York: SpingerVerlag. [13] Theil, H. (1971), Principles of Econometrics, New York: Jhon Wiley and Sons. 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/41303 