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Simultaneous Equations Systems
1995AbstractLinear system modelling is structured in 10 stages from the general to the specific. The dynamic statistical system is the maintained model, defined by the variables of interest, their distributions, whether they are modelled or non‐modelled, and their lag polynomials. An econometric model is a (possibly) simultaneous‐equations entity, which is
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Systems of Simultaneous Equations
1978In previous chapters we examined extensively the GLM under a variety of circumstances. A common feature of these discussions was a certain aspect of unidirectionality. Generally, variations in the explanatory (right-hand) variables were transmitted to the dependent (left-hand) variable, but not vice versa.
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Coefficients of correlation for simultaneous equation systems
Journal of Econometrics, 1977Abstract This paper presents measures of correlation for use with either a single equation within a simultaneous system or for the whole system, which specifically account for the identifying restrictions. The measures lie between zero and one and have the same interpretation as the familiar R 2 used with classical least squares.
Carter, Richard A. L., Nagar, Anirudh L.
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Systems of Dynamic Simultaneous Equations
1991This chapter serves to point out some possible extensions of the models considered so far and to draw attention to potential problems related to such extensions. So far, we have assumed that all stochastic variables of a system have essentially the same status in that they are all determined within the system.
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STRUCTURAL IDENTIFICATION METHOD OF SIMULTANEOUS EQUATIONS SYSTEMS
IFAC Proceedings Volumes, 2002The objective of this paper is to develop a method for selection of the ...
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TESTING FOR SERIAL CORRELATION IN SYSTEMS OF SIMULTANEOUS REGRESSION EQUATIONS
Biometrika, 1957where y is a vector of jointly dependent variables, x is a vector of predetermined or independent variables, e is a vector of errors, and A and B are matrices of unknown parameters. It is usual to assume that A is square and non-singular, that the e's are random variables with zero means and constant variance matrix, and that the x's are either ...
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Specification tests in simultaneous equations systems
Journal of Econometrics, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Simultaneous Equation Models and Dynamic Systems
2015We discussed at the end of Chapter 7 one type of multiple equation model (SUR). Here we’ll present a second type of such models known as simultaneous equation models. A preliminary type of such a model was adopted at the beginning of Chapter 1, where the structural model described by Equations (1.1)–(1.3) was presented; finally the obtained reduced ...
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Estimation of Simultaneous Equations Systems
1974A certain class of estimators for the parameters of a simultaneous equations (S.E.) system can be shown to have an interpretation as an ordinary least squares (OLS) estimator. In view of this fundamental unity of estimation procedures, it would be desirable at this stage to review carefully the estimation problem in the context of the general linear ...
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The coefficient of determination and simultaneous equation systems
Journal of Econometrics, 1980Abstract In this paper we show that the Carter-Nagar (1977) R2's for single structural equations and systems are in fact R2 for the reduced form where the partially restricted reduced form estimation method is employed. We also show that the results of McElroy (1977) may be used to derive the Carter-Nagar system measure. If the reduced form equations
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