Finite sample inference for quantile regression models
By: Victor Chernozhukov, Christian Hansen [and] Michael Jansson
Contributors: Hansen, Christian Bailey, 1976-; Jansson, Michael; Massachusetts Institute of Technology. Dept. of Economics
Series: Working paper series / Massachusetts Institute of Technology, Dept. of Economics -- working paper 06-03; Working paper (Massachusetts Institute of Technology. Dept. of Economics) -- no. 06-03.
Publisher: Massachusetts Institute of Technology, Dept. of Economics
Published: 2006
Place of publication: Cambridge, MA
Language: eng
Number of pages: 38
Description: Under minimal assumptions finite sample confidence bands for quantile regression models can be constructed. These confidence bands are based on the "conditional pivotal property" of estimating equations that quantile regression methods aim to solve and will provide valid finite sample inference for both linear and nonlinear quantile models regardless of whether the covariates are endogenous or exogenous. The confidence regions can be computed using MCMC, and confidence bounds for single parameters of interest can be computed through a simple combination of optimization and search algorithms. We illustrate the finite sample procedure through a brief simulation study and two empirical examples: estimating a heterogeneous demand elasticity and estimating heterogeneous returns to schooling. In all cases, we find pronounced differences between confidence regions formed using the usual asymptotics and confidence regions formed using the finite sample procedure in cases where the usual asymptotics are suspect, such as inference about tail quantiles or inference when identification is partial or weak. The evidence strongly suggests that the finite sample methods may usefully complement existing inference methods for quantile regression when the standard assumptions fail or are suspect. Keywords: Quantile Regression, Extremal Quantile Regression, Instrumental Quantile Regression. JEL Classifications: C1, C3.
Notes: "January 31, 2006."

Includes bibliographical references (p. 26-27).

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