@article{publications44148, volume = {9}, number = {4}, author = {Pascal Lavergne and Quang H. Vuong}, title = {An integral estimator of residual variance and a measure of explanatory power of covariates in nonparametric regression}, publisher = {Taylor \& Francis}, journal = {Journal of Nonparametric Statistics}, pages = {363--380}, year = {1998}, url = {https://publications.ut-capitole.fr/id/eprint/44148/}, abstract = {We propose a new estimator of unconditional residual variance in nonparametric regression based on the integral of squared residuals. We show its consistency in L1 under general conditions and derive a nonparametric decomposition of the variance formula. Monte-Carlo experiments suggest that the estimator has good small sample properties.} }