%0 Journal Article
%T An Approximation for the Power Function of a Semi-parametric Test of Fit
%A MB Makhoukhi
%J Afrika Statistika
%D 2008
%I 
%X We consider in this paper goodness of fit tests of the null hypothesis that the underlying d.f. of a sample F(x), belongs to a given family of distribution functions F. We propose a method for deriving approximate values of the power of a weighted Cram¡äer-von Mises type test of goodness of fit. Our method relies on Karhunen-Lo`eve [K.L] expansions on (0, 1) for the weighted a Brownian bridges.
%U http://www.ajol.info/index.php/afst/article/view/46875