Combinatorial Methods in Density Estimation:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2001
|
| Schriftenreihe: | Springer Series in Statistics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Density estimation has evolved enormously since the days of bar plots and histograms, but researchers and users are still struggling with the problem of the selection of the bin widths. This text explores a new paradigm for the data-based or automatic selection of the free parameters of density estimates in general so that the expected error is within a given constant multiple of the best possible error. The paradigm can be used in nearly all density estimates and for most model selection problems, both parametric and nonparametric. It is the first book on this topic. The text is intended for first-year graduate students in statistics and learning theory, and offers a host of opportunities for further research and thesis topics. Each chapter corresponds roughly to one lecture, and is supplemented with many classroom exercises. A one year course in probability theory at the level of Feller's Volume 1 should be more than adequate preparation. Gabor Lugosi is Professor at Universitat Pompeu Fabra in Barcelona, and Luc Debroye is Professor at McGill University in Montreal. In 1996, the authors, together with Lászlo Györfi, published the successful text, A Probabilistic Theory of Pattern Recognition with Springer-Verlag. Both authors have made many contributions in the area of nonparametric estimation |
| Beschreibung: | 1 Online-Ressource (XII, 209 p) |
| ISBN: | 9781461301257 9781461265276 |
| ISSN: | 0172-7397 |
| DOI: | 10.1007/978-1-4613-0125-7 |
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Datensatz im Suchindex
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| dewey-ones | 519 - Probabilities and applied mathematics |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4613-0125-7 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:07Z |
| institution | BVB |
| isbn | 9781461301257 9781461265276 |
| issn | 0172-7397 |
| language | English |
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| spelling | Devroye, Luc Verfasser aut Combinatorial Methods in Density Estimation by Luc Devroye, Gábor Lugosi New York, NY Springer New York 2001 1 Online-Ressource (XII, 209 p) txt rdacontent c rdamedia cr rdacarrier Springer Series in Statistics 0172-7397 Density estimation has evolved enormously since the days of bar plots and histograms, but researchers and users are still struggling with the problem of the selection of the bin widths. This text explores a new paradigm for the data-based or automatic selection of the free parameters of density estimates in general so that the expected error is within a given constant multiple of the best possible error. The paradigm can be used in nearly all density estimates and for most model selection problems, both parametric and nonparametric. It is the first book on this topic. The text is intended for first-year graduate students in statistics and learning theory, and offers a host of opportunities for further research and thesis topics. Each chapter corresponds roughly to one lecture, and is supplemented with many classroom exercises. A one year course in probability theory at the level of Feller's Volume 1 should be more than adequate preparation. Gabor Lugosi is Professor at Universitat Pompeu Fabra in Barcelona, and Luc Debroye is Professor at McGill University in Montreal. In 1996, the authors, together with Lászlo Györfi, published the successful text, A Probabilistic Theory of Pattern Recognition with Springer-Verlag. Both authors have made many contributions in the area of nonparametric estimation Statistics Mathematical statistics Statistical Theory and Methods Statistik Dichteschätzung (DE-588)4353528-8 gnd rswk-swf Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd rswk-swf Wahrscheinlichkeitsverteilung (DE-588)4121894-2 s Dichteschätzung (DE-588)4353528-8 s 1\p DE-604 Lugosi, Gábor Sonstige oth https://doi.org/10.1007/978-1-4613-0125-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Devroye, Luc Combinatorial Methods in Density Estimation Statistics Mathematical statistics Statistical Theory and Methods Statistik Dichteschätzung (DE-588)4353528-8 gnd Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd |
| subject_GND | (DE-588)4353528-8 (DE-588)4121894-2 |
| title | Combinatorial Methods in Density Estimation |
| title_auth | Combinatorial Methods in Density Estimation |
| title_exact_search | Combinatorial Methods in Density Estimation |
| title_full | Combinatorial Methods in Density Estimation by Luc Devroye, Gábor Lugosi |
| title_fullStr | Combinatorial Methods in Density Estimation by Luc Devroye, Gábor Lugosi |
| title_full_unstemmed | Combinatorial Methods in Density Estimation by Luc Devroye, Gábor Lugosi |
| title_short | Combinatorial Methods in Density Estimation |
| title_sort | combinatorial methods in density estimation |
| topic | Statistics Mathematical statistics Statistical Theory and Methods Statistik Dichteschätzung (DE-588)4353528-8 gnd Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd |
| topic_facet | Statistics Mathematical statistics Statistical Theory and Methods Statistik Dichteschätzung Wahrscheinlichkeitsverteilung |
| url | https://doi.org/10.1007/978-1-4613-0125-7 |
| work_keys_str_mv | AT devroyeluc combinatorialmethodsindensityestimation AT lugosigabor combinatorialmethodsindensityestimation |