Remarks concerning the Application of Exact Finite Sample Distribution Functions of Gcl Estimators in Econometric Statistical Inference

Abstract

When employed in connection with econometric models that have a sufficiently high degree of cognitive significance (as measured by the extent to which underlying economic premises are actually elucidated into empirically testable implications) qualitative analysis of the exact finite sample distribution functions of GCL estimators of structural parameters finds its paramount use in delimiting the precision with which structural coefficients can be estimated. This kind of qualitative analysis is illustrated here by the GCL estimator of the marginal propensity to consume appearing in a simple five-equation Keynesian model. The precision with which the marginal propensity to consume can be estimated from national income statistics is shown to be related to the values of coefficients of disposable income, long-term rate of interest and high-powered money in the investment, liquidity-preference, and supply of money functions. The mode of this dependence is made explicit in the present article.