This paper develops a random effects model for quantile regression (QR). We establish identification of the QR coefficients, and develop practical estimation and inference procedures. We employ a simple pooled QR estimator to estimate the coefficients of interest, and derive its statistical...

We examine properties of the LM test of overdispersion when the alternative is characterized by arbitrary correlated random effects. We first derive a result that a natural test to detect such arbitrary correlated random effects would take the form of the test of conditional moment restriction,...