Nonparametric Density Estimation: The L1 View (Wiley Series in Probability and Mathematical Statistics)

Devroye, Lue

ISBN 10: 0471816469 / ISBN 13: 9780471816461

Editore: John Wiley & Sons, 1984

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Very GoodDust Jacket may NOT BE INCLUDED.CDs may be missing. Codice articolo ERICA83504718164693

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Titolo: Nonparametric Density Estimation: The L1 ...

Casa editrice: John Wiley & Sons

Data di pubblicazione: 1984

Legatura: Hardcover

Condizione: Very Good

Condizione sovraccoperta: sovraccoperta

Tipologia articolo: book

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Riassunto:

The first systematic single-source examination of density estimates. It develops, from first principles, the ``natural'' theory for density estimation, L1, and shows why the classical L2 theory masks some fundamental properties of density estimates. Chapters comprehensively treat consistency, lower bounds for rates of convergence, rates of convergence in L1, the transformed kernel estimate, applications in discrimination, and estimators based on orthogonal series. All theorems are fully proven in rigorous, step-by-step detail. Additionally, the relevant recent literature is tied in with the more classic works of Parzen, Rosenblatt, and others.