| J. Huang. Projection estimation in multiple regression with applications to functional anova models. Ann. Statist., vol.26, pp.242-272, 1998. |
.... while interaction components are estimated by tensor products of these spaces the individual products involving at most one basis term per covariate. The theoretical justification for such an approach has been discussed in Stone (1985, 1986, 1994) Hansen (1994) Stone et al. 1997) and Huang (1998). In short, the difficulty (as measured by the L 2 rate of convergence) of estimating an unsaturated approximation is essentially governed by the dimension of the largest interaction term (where dimension refers to the number of covariates involved in the interaction) These results have been ....
Huang, J. Z. (1998) Projection estimation in multiple regression with application to functional ANOVA models. Ann. Statist., 26, 242--272.
....Birg e and Massart (1999) Optimal rates for hypothesis testing have also been developed. See Ingster (1993) and Spokoiny (1996) Optimal rates for multivariate ANOVA types of nonparametric models o er valuable theoretical insights into high dimensional function estimation problems (Stone, 1994, Huang, 1999). It was shown that asymptotically estimating a component in additive separable models is just as hard as the case when the other components are known (Fan, Mammen and H ardle, 1998) This property is not shared by parametric models. 3 Future research With increasing complexity of statistical ....
Huang, J. (1999). Projection estimation in multiple regression with application to functional ANOVA models. Annals of Statistics, Vol 26, 242-272.
No context found.
Huang, J. Z. (1998a). Projection estimation for multiple regression with application to functional ANOVA models. Ann. Statist. 26 242-272.
No context found.
Huang, J. (1996). Projection estimation in multiple regression with application to functional ANOVA models. Technical Report 451, Dept. Statistics, Univ. California, Berkeley.
No context found.
Huang, J. (1996). Projection estimation in multiple regression with application to functional ANOVA models. Technical Report 451, Dept. Statistics, Univ. California, Berkeley.
No context found.
Huang, J. (1996a). Projection estimation in multiple regression with application to functional ANOVA models. Technical Report 451, Dept. Statist., Univ. California, Berkeley.
No context found.
J. Huang. Projection estimation in multiple regression with applications to functional anova models. Ann. Statist., vol.26, pp.242-272, 1998.
No context found.
Huang, J. Z. (1998). Projection estimation in multiple regression with application to functional anova models. Ann. Statist. 26 242--272.
No context found.
Huang, J. Z., 1998. Projection estimation in multiple regression with application to functional anova models. Ann. Stat. 26, 242--272.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC