Nonparametric Density Estimation
The L1 View
Wiley (Publisher)
Published on 18. January 1985
Book
Hardback
368 pages
978-0-471-81646-1 (ISBN)
Description
This book gives a rigorous, systematic treatment of density estimates, their construction, use and analysis with full proofs. It develops L1 theory, rather than the classical L2, showing how L1 exposes fundamental properties of density estimates masked by L2. The book examines results in simulation, pattern recognition, detection theory, and minimax theory. An extensive bibliography includes references to the recent literature as well as the classical work of Parzen, Rozenblatt and others.
More details
Series
Language
English
Place of publication
New York
United States
Publishing group
John Wiley and Sons Ltd
Target group
College/higher education
Illustrations
bibliography, index
Dimensions
Height: 240 mm
Width: 150 mm
Weight
624 gr
ISBN-13
978-0-471-81646-1 (9780471816461)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Content
Differentiation of Integrals; Consistency; Lower Bounds for Rates of Convergence; Rates of Convergence in L1; The Automatic Kernel Estimate: L1 and Pointwise Convergence; Estimates Related to the Kernel Estimate and the Histogram Estimate; Simulation, Inequalities, and Random Variate Generation; The Transformed Kernel Estimate; Applications in Discrimination; Operations on Density Estimates; Estimators Based on Orthogonal Series; Index.