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The uniform approach to calculation of MISE for histogram and density box-spline estimators gives us a possibility to obtain estimators of derivatives of densities and the asymptotic constant.
Karol Dziedziul, and Piotr Paluszek. "Box-spline histograms for multivariate density estimation." Applicationes Mathematicae 37.4 (2010): 413-427. <http://eudml.org/doc/280006>.
@article{KarolDziedziul2010, abstract = {The uniform approach to calculation of MISE for histogram and density box-spline estimators gives us a possibility to obtain estimators of derivatives of densities and the asymptotic constant.}, author = {Karol Dziedziul, Piotr Paluszek}, journal = {Applicationes Mathematicae}, keywords = {histogram; spline estomator; MISE-mean integrated square error; bandwidth selection}, language = {eng}, number = {4}, pages = {413-427}, title = {Box-spline histograms for multivariate density estimation}, url = {http://eudml.org/doc/280006}, volume = {37}, year = {2010}, }
TY - JOUR AU - Karol Dziedziul AU - Piotr Paluszek TI - Box-spline histograms for multivariate density estimation JO - Applicationes Mathematicae PY - 2010 VL - 37 IS - 4 SP - 413 EP - 427 AB - The uniform approach to calculation of MISE for histogram and density box-spline estimators gives us a possibility to obtain estimators of derivatives of densities and the asymptotic constant. LA - eng KW - histogram; spline estomator; MISE-mean integrated square error; bandwidth selection UR - http://eudml.org/doc/280006 ER -