Approximating the Critical Values of Cramér-von Mises Tests in General Parametric Conditional Specifications

Abstract:     
A numerical approximation of the critical values of Cramér-vonMises (CvM) tests is proposed for testing the correct specification of general conditional location parametric functionals. These specifications include conditional mean and quantile models. The method is based on the estimation of the eigenelements of the covariance operator associated with the CvM test, and it has the advantage that it requires the practitioner to estimate the model only one time under the null hypothesis. A Monte Carlo experiment shows that the proposed approximation compares favorably with respect to the sub-sampling method in terms of size accuracy, power performance and computational time.

Keywords: Cramér-von Mises, Principal Components, Eigenvalues, Empirical Processes

JEL Classifications: C12

Accepted Paper Series