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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Main Author: Mariano, Roberto S.
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 1973
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Online Access:https://ink.library.smu.edu.sg/soe_research/56
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spelling sg-smu-ink.soe_research-10552010-09-23T05:48:03Z Approximations to the Distribution Functions of the Ordinary Least Squares and Two-Stage Least Squares Estimators in the Case of Two Included Endogenous Variables Mariano, Roberto S. 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. 1973-01-01T08:00:00Z text https://ink.library.smu.edu.sg/soe_research/56 info:doi/10.2307/1913884 Research Collection School Of Economics eng Institutional Knowledge at Singapore Management University Econometrics
institution Singapore Management University
building SMU Libraries
continent Asia
country Singapore
Singapore
content_provider SMU Libraries
collection InK@SMU
language English
topic Econometrics
spellingShingle Econometrics
Mariano, Roberto S.
Approximations to the Distribution Functions of the Ordinary Least Squares and Two-Stage Least Squares Estimators in the Case of Two Included Endogenous Variables
description 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.
format text
author Mariano, Roberto S.
author_facet Mariano, Roberto S.
author_sort Mariano, Roberto S.
title Approximations to the Distribution Functions of the Ordinary Least Squares and Two-Stage Least Squares Estimators in the Case of Two Included Endogenous Variables
title_short Approximations to the Distribution Functions of the Ordinary Least Squares and Two-Stage Least Squares Estimators in the Case of Two Included Endogenous Variables
title_full Approximations to the Distribution Functions of the Ordinary Least Squares and Two-Stage Least Squares Estimators in the Case of Two Included Endogenous Variables
title_fullStr Approximations to the Distribution Functions of the Ordinary Least Squares and Two-Stage Least Squares Estimators in the Case of Two Included Endogenous Variables
title_full_unstemmed Approximations to the Distribution Functions of the Ordinary Least Squares and Two-Stage Least Squares Estimators in the Case of Two Included Endogenous Variables
title_sort approximations to the distribution functions of the ordinary least squares and two-stage least squares estimators in the case of two included endogenous variables
publisher Institutional Knowledge at Singapore Management University
publishDate 1973
url https://ink.library.smu.edu.sg/soe_research/56
_version_ 1770568998222561280