Davidson and MacKinnon (1981) proposed a simple procedure for testing the specification of a non-linear regression model against the evidence provided by a non-nested alternative. We extend their results in several directions. First, we relax a number of assumptions of the previous paper: We...

In an attempt to free bootstrap theory from the shackles of asymptotic considerations, this paper studies the possibility of justifying, or validating, the bootstrap, not by letting the sample size tend to infinity, but by considering the sequence of bootstrap P values obtained by iterating the...