Generalised Wald Type Test of Nonlinear Restrictions

摘要

This paper proposes a generalised Wald type tests to test the hypothesis of the nonlinear restrictions. We circumvent the problem of singularity of the covariance matrix associated with the usual Wald test by proposing a generalised inverse procedure, and an alternative simple procedure which can be approximated by a suitable chi-square distribution. New threshold value is derived to estimate the rank of the covariance matrix.