Before revision:  To obtain a large-sample approximation to the test statistics , we develop a novel uniform asymptotic expansion of the empirical distribution function of residuals that lead to a Donsker-type central limit theorem .
After revision:  To obtain a large-sample distribution of the test statistics is nonstandard and relies on a novel Donsker-type central limit theorem for the empirical distribution function of residuals that lead to a Donsker-type central limit theorem .