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January 1973 - Volume 41 Issue 1 Page 67 - 77


p.67


Approximations to the Distribution Functions of the Ordinary Least-Squares and Two-Stage Least-Squares Estimators in the Case of Two Included Endogenous Variables

Roberto S. Mariano

Abstract

This paper deals with single-equation estimators in a simultaneous system of linear stochastic equations and approximates the distribution function of the two-stage least-squares estimators up to terms whose order of magnitude is 1/@?N, where N is the sample size. For fixed N, an approximation to the OLS distribution function is also obtained up to terms whose order of magnitude 1/@m, where @m2 is what is referred to in the literature as the concentration parameter.

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