Testing Structural Changes in Conditional Distributions Via Quantile Regressions

Liangjun SU, Singapore Management University
Z. XIAO

Abstract

We propose tests for structural change in conditional distributions via quantile regressions. To avoid misspecification on the conditioning relationship, we construct the tests based on the residuals from local polynomial quantile regressions. In particular, the tests are based upon the cumulative sums of generalized residuals from quantile regressions and have power against local alternatives at rate