Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5095475 | Journal of Econometrics | 2017 | 40 Pages |
Abstract
In the just-identified model,the exact distribution of the two-stage least squares (2SLS) estimator of the coefficient of the endogenous regressor is a ratio of two normally distributed random variables. Basmann (1960), Basmann (1974) used Fieller's 1932 result to derive the density function of the estimator. In this paper, we present a novel graphical exposition of Fieller's 1954 technique to approximate the confidence interval for the 2SLS estimator. We use this approach to examine how the degree of endogeneity and instrument relevance influences the correspondence between the Fieller and traditional asymptotic confidence intervals for the estimator.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Joe Hirschberg, Jenny Lye,