Noncentral elliptical configuration density

The noncentral configuration density under an elliptical model is derived; it generalizes and corrects the Gaussian configuration and some Pearson results. Then by using partition theory a number of explicit configuration densities are obtained; i.e. configuration densities associated with the matrix variate symmetric Kotz type distributions (it includes normal), the matrix variate Pearson type VII distributions (it includes t and Cauchy distributions), the matrix variate symmetric Bessel distribution (it includes Laplace distribution) and the so called matrix variate symmetric Jensenlogistic distribution