A generalization of histogram type estimators
| dc.contributor.author | Río Bueno , Manuel del | |
| dc.contributor.author | Delicado, Pedro | |
| dc.date.accessioned | 2023-06-20T09:44:05Z | |
| dc.date.available | 2023-06-20T09:44:05Z | |
| dc.date.issued | 2003-02 | |
| dc.description.abstract | 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. | |
| dc.description.department | Depto. de Estadística e Investigación Operativa | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/17618 | |
| dc.identifier.doi | 10.1080/1048525031000074523 | |
| dc.identifier.issn | 1048-5252 | |
| dc.identifier.relatedurl | http://www.econ.upf.edu/ca/recerca/paper.php?id=422 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50269 | |
| dc.issue.number | 1 | |
| dc.journal.title | Journal of Nonparametric Statistics | |
| dc.page.final | 135 | |
| dc.page.initial | 113 | |
| dc.publisher | American Statistical Association | |
| dc.rights.accessRights | metadata only access | |
| dc.subject.cdu | 519.8 | |
| dc.subject.keyword | Convolution | |
| dc.subject.keyword | Frequency polygon | |
| dc.subject.keyword | Nonparametric density estimation | |
| dc.subject.keyword | Simulation | |
| dc.subject.keyword | Splines | |
| dc.subject.keyword | Toeplitz matrix | |
| dc.subject.keyword | Kerrnel density estimators | |
| dc.subject.keyword | Binned data | |
| dc.subject.ucm | Investigación operativa (Matemáticas) | |
| dc.subject.unesco | 1207 Investigación Operativa | |
| dc.title | A generalization of histogram type estimators | |
| dc.type | journal article | |
| dc.volume.number | 15 | |
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| dspace.entity.type | Publication |