A Simple Approach to Quantile Regression for Panel Data

This paper provides a set of sufficient conditions that point identify a quantile regression model with fixed effects. It also proposes a simple transformation of the data that gets rid of the fixed effects under the assumption that these effects are location shifters. The new estimator is consistent and asymptotically normal as both n and T grow.

[1]  Carlos Lamarche,et al.  Robust penalized quantile regression estimation for panel data , 2010 .

[2]  R. Varga,et al.  Proof of Theorem 4 , 1983 .

[3]  G. Chamberlain Multivariate regression models for panel data , 1982 .

[4]  Christian Hansen,et al.  Instrumental quantile regression inference for structural and treatment effect models , 2006 .

[5]  R. Koenker Quantile regression for longitudinal data , 2004 .

[6]  A. V. D. Vaart,et al.  Asymptotic Statistics: Frontmatter , 1998 .

[7]  A. Galvao Quantile regression for dynamic panel data with fixed effects , 2011 .

[8]  R. Koenker Quantile Regression: Name Index , 2005 .

[9]  Jason Abrevaya,et al.  The Effects of Birth Inputs on Birthweight , 2008 .

[10]  W. Newey,et al.  Average and Quantile Effects in Nonseparable Panel Models , 2009, 0904.1990.

[11]  Markku Rahiala,et al.  Panel Data , 2011, International Encyclopedia of Statistical Science.

[12]  V. Chernozhukov,et al.  Instrumental variable quantile regression: A robust inference approach , 2008 .

[13]  J. Powell,et al.  ESTIMATION OF MONOTONIC REGRESSION MODELS UNDER QUANTILE RESTRICTIONS , 1988 .

[14]  Gary Chamberlain,et al.  Chapter 22 Panel data , 1984 .

[15]  Michael H. Neumann Deconvolution from panel data with unknown error distribution , 2007 .

[16]  Adam M. Rosen,et al.  Set identification via quantile restrictions in short panels , 2009 .

[17]  Tong Li,et al.  Nonparametric Estimation of the Measurement Error Model Using Multiple Indicators , 1998 .

[18]  Jason Abrevaya,et al.  The effects of birth inputs on birthweight : evidence from quantile estimation on panel data by , 2007 .

[19]  M. Bottai,et al.  Quantile regression for longitudinal data using the asymmetric Laplace distribution. , 2007, Biostatistics.

[20]  R. Koenker,et al.  Regression Quantiles , 2007 .

[21]  Jon A. Wellner,et al.  Weak Convergence and Empirical Processes: With Applications to Statistics , 1996 .