The inference procedure for any elliptical conØguration density is set in this work in terms of published e±cient algorithms involving inØnite con∞uent hypergeometric type series of zonal polynomials. The Ønite conØguration density study is proposed and it is applied in a Ønite Kotz conØguration density subfamily, including normal; then inference procedure is addressed exact for this subfamily, and it is applied in a sort of experiments available in other shape literature contexts.