Nonparametric functional estimation

by Prakasa Rao, B. L. S.

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Title Statements

Full title :Nonparametric functional estimation / B.L.S. Prakasa Rao.

Edition Statements

Publication Date:1983.

Publication Statements

Publisher(s):Academic Press
Place of Publication:Orlando
Language:eng
Publication Date:1983.

Notes

Includes indexes.

The Physical Object

Description:1 online resource (xiv, 522 pages)

Edition Identifiers

ISBN:9781483269238, 148326923X
oclc:ocn893872939
LC Classification:QA276.8
Dewey Decimal:519.5/44

Front Cover; Nonparametric Functional Estimation; Copyright Page; Dedication; Table of Contents; Preface; List of Notation; Chapter 1. Estimation of Functionals; 1.0. Introduction; 1.1. Estimability of Functionals; 1.2. Necessary and Sufficient Conditions for the Existence of Unbiased Estimators of Functionals; 1.3. Asymptotic Efficiency of Estimators of Functionals; Bibliographical Notes; Problems; Chapter 2. Density Estimation (Univariate Case); 2.0. Introduction; 2.1. The Method of Kernels; 2.2. The Method of Orthogonal Series; 2.3. The Method of Histograms with Fixed Partition.

2.4. The Method of Histograms with Random Partition2.5. The Method of Histosplines; 2.6. The Method of Penalty Functions; 2.7. The Method of Fourier Inversion; 2.8. The Method of Delta Sequences; 2.9. A Bayesian Approach; 2.10. Comparison of Different Methods; 2.11. Optimal Density Estimation; 2.12. Invariant Density Estimation; Bibliographical Notes; Problems; Chapter 3. Density Estimation (Multivariate Case); 3.0. Introduction; 3.1. The Method of Kernels; 3.2. The Method of Nearest Neighbors; 3.3. The Method of Orthogonal Series; 3.4. The Method of Delta Sequences.

3.5. The Method of Stochastic Appr…

Subjects

Estimation theory Estimation, théorie de l' MATHEMATICS -- Applied MATHEMATICS -- Probability & Statistics Nichtparametrische Statistik Nonparametric statistics Schätzung Statistics, Nonparametric Statistique non paramétrique Théorie de l'estimation