Authors´ Reply3

In the statistical method proposed by Trunk [2], [3], he calculates the density function p(X|N) where X= [xl. .. xn,]^Tis the observed random vector and N(= 1, 2,...) is the intrinsic number of parameters for the random vector. The most likely N for the observed vectors is determined by applying the multihypotheses test to these density functions. The number of random variables are reduced by using sufficient statistics such as the ratios of local distances and certain angles between local vectors, rather than the original x1,...,xn.