A0262
Title: A test of equality of distributions for Hilbert-valued random elements
Authors: Gil Gonzalez-Rodriguez - University of Oviedo (Spain) [presenting]
Ana Colubi - University of Giessen (Germany)
Wenceslao Gonzalez-Manteiga - University of Santiago de Compostela (Spain)
Abstract: Two independent random elements taking on values in a separable Hilbert space are considered. The aim is to develop a bootstrap test to check whether they have the same distribution or not. A common transformation of both random elements into a new separable Hilbert space is considered in such a way that the equality of expectations of the transformed random elements is equivalent to the equality of distributions. Thus, a bootstrap procedure to check the equality of means can be used in order to solve the original problem. It will be shown that the test can be solved with simple operations in the original space, without the need for applying the mentioned transformation.
