@article{epos227, volume = {18}, number = {2}, author = {Jeffrey Hart and Philippe Vieu}, title = {Data-Driven Bandwidth Choice for Density Estimation Based on Dependent Data}, publisher = {Institute of Mathematical Statistics}, journal = {The Annals of Statistics}, pages = {873--890}, year = {1990}, url = {https://episodesplatform.eu/eprints/227/}, abstract = {The bandwidth selection problem in kernel density estimation is investigated in situations where the observed data are dependent. The classical leave-out technique is extended, and thereby a class of cross-validated bandwidths is defined. These bandwidths are shown to be asymptotically optimal under a strong mixing condition. The leave-one out, or ordinary, form of cross-validation remains asymptotically optimal under the dependence model considered. However, a simulation study shows that when the data are strongly enough correlated, the ordinary version of cross-validation can be improved upon in finite-sized samples.} }