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

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 $1/\sqrt{N}$, where N is the sample size. For fixed N, an approximatio...

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Bibliographic Details
Main Author: Mariano, Roberto S.
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 1973
Subjects:
Online Access:https://ink.library.smu.edu.sg/soe_research/56
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Institution: Singapore Management University
Language: English
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Summary: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 $1/\sqrt{N}$, 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/μ, where μ 2 is what is referred to in the literature as the concentration parameter.