Nonparametric density estimation : the L[1] view
Author(s)
Bibliographic Information
Nonparametric density estimation : the L[1] view
（Wiley series in probability and mathematical statistics, . Tracts on probability and statistics）
Wiley, c1985
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Note
[1] is subscript
Includes bibliographies and indexes
Description and Table of Contents
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.
Table of Contents
- 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.
by "Nielsen BookData"
