06014712

j

06014712 Ruymgaart, Frits Wang, Jing Wei, Shih-Hsuan Yu, Li Some asymptotic theory for functional regression and classification. Adv. Decis. Sci. 2011, Article ID 485974, 22 p. (2011). 2011 Hindawi Publishing Corporation, New York, NY EN

doi:10.1155/2011/485974

Summary: Exploiting an expansion for analytic functions of operators, the asymptotic distribution of an estimator of the functional regression parameter is obtained in a rather simple way; the result is applied to testing linear hypotheses. The expansion is also used to obtain a quick proof for the asymptotic optimality of a functional classification rule, given Gaussian populations.