2026-06-08T09:51:43Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/502692023-06-23T10:11:49Zcom_20.500.14352_14col_20.500.14352_15

A generalization of histogram type estimators Río Bueno , Manuel del Delicado, Pedro 519.8 Convolution Frequency polygon Nonparametric density estimation Simulation Splines Toeplitz matrix Kerrnel density estimators Binned data Investigación operativa (Matemáticas) 1207 Investigación Operativa We introduce nonparametric density estimators that generalize the classical histogram and frequency polygon. The new estimators are expressed as linear combinations of density functions that are piecewise polynomials, where the coefficients are optimally chosen in order to minimize an approximate version of the integrated square error of the estimator. We establish the asymptotic behaviour of the proposed estimators, and study their performance in a simulation study. Depto. de Estadística e Investigación Operativa Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T09:44:05Z 2023-06-20T09:44:05Z 2003-02 journal article https://hdl.handle.net/20.500.14352/50269 1048-5252 10.1080/1048525031000074523 metadata only access American Statistical Association