Nonparametric probability density estimation:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Baltimore, MD
Johns Hopkins Univ. Press
1978
|
| Series: | Johns Hopkins series in the mathematical sciences
1 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 176 S. graph. Darst. |
| ISBN: | 0801820316 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
PREFACE ix
ACKNOWLEDGMENTS xi
chapter 1. Historical Background 1
1.1. Moses as a Statistician 1
1.2. The Haberdasher and the Histogram 2
1.3. The Pearson Distributions 5
1.4. Density Estimation by Classical Maximum Likelihood 13
chapter 2. Some Approaches to Nonparametric Density Estimation 24
2.1. The Normal Distribution as Universal Density 24
2.2. The Johnson Family of Distributions 30
2.3. The Symmetric Stable Distributions 33
2.4. Series Estimators 36
2.5. Kernel Estimators 44
chapter 3. Maximum Likelihood Density Estimation 92
3.1. Maximum Likelihood Estimators 92
3.2. The Histogram as a Maximum Likelihood Estimator 95
3.3. The Infinite Dimensional Case 99
chapter 4. Maximum Penalized Likelihood Density Estimation 102
4.1. Maximum Penalized Likelihood Estimators 102
4.2. The de Montricher Tapia Thompson Estimator 106
4.3. The First Estimator of Good and Gaskins 108
4.4. The Second Estimator of Good and Gaskins 114
chapter 5. Discrete Maximum Penalized Likelihood Estimation 121
5.1. Discrete Maximum Penalized Likelihood Estimators 121
5.2. Consistency Properties of the DMPLE 124
5.3. Numerical Implementation and Monte Carlo Simulation 129
vii
Viii CONTENTS
appendix I. An Introduction to Mathematical Optimization Theory 146
1.1. Hilbert Space 146
1.2. Reproducing Kernel Hilbert Spaces 152
1.3. Convex Functional and Differential Characterizations 154
1.4. Existence and Uniqueness of Solutions for Optimization Problems
in Hilbert Space 160
1.5. Lagrange Multiplier Necessity Conditions 163
appendix II. Numerical Solution of Constrained
Optimization Problems 166
ILL The Diagonalized Multiplier Method 166
II.2. Optimization Problems with Nonnegativity Constraints 170
INDEX 173
|
| any_adam_object | 1 |
| author | Tapia, Richard A. Thompson, James R. 1938-2017 |
| author_GND | (DE-588)136262481 |
| author_facet | Tapia, Richard A. Thompson, James R. 1938-2017 |
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| dewey-full | 519.2/4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2/4 |
| dewey-search | 519.2/4 |
| dewey-sort | 3519.2 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV002297508 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:43:35Z |
| institution | BVB |
| isbn | 0801820316 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001510031 |
| oclc_num | 3671180 |
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| physical | XI, 176 S. graph. Darst. |
| psigel | TUB-nveb |
| publishDate | 1978 |
| publishDateSearch | 1978 |
| publishDateSort | 1978 |
| publisher | Johns Hopkins Univ. Press |
| record_format | marc |
| series | Johns Hopkins series in the mathematical sciences |
| series2 | Johns Hopkins series in the mathematical sciences |
| spelling | Tapia, Richard A. Verfasser aut Nonparametric probability density estimation Richard A. Tapia ; James R. Thompson Baltimore, MD Johns Hopkins Univ. Press 1978 XI, 176 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Johns Hopkins series in the mathematical sciences 1 Distribution (Théorie des probabilités) Distribution (Théorie des probabilités) ram Estimation, Théorie de l' Estimation, théorie de l' ram Statistique non-paramétrique Statistique nonparamétrique ram Distribution (Probability theory) Estimation theory Nonparametric statistics Schätzung (DE-588)4193791-0 gnd rswk-swf Schätztheorie (DE-588)4121608-8 gnd rswk-swf Dichte Stochastik (DE-588)4139581-5 gnd rswk-swf Dichte Stochastik (DE-588)4139581-5 s Schätzung (DE-588)4193791-0 s DE-604 Schätztheorie (DE-588)4121608-8 s Thompson, James R. 1938-2017 Verfasser (DE-588)136262481 aut Johns Hopkins series in the mathematical sciences 1 (DE-604)BV000016231 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001510031&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tapia, Richard A. Thompson, James R. 1938-2017 Nonparametric probability density estimation Johns Hopkins series in the mathematical sciences Distribution (Théorie des probabilités) Distribution (Théorie des probabilités) ram Estimation, Théorie de l' Estimation, théorie de l' ram Statistique non-paramétrique Statistique nonparamétrique ram Distribution (Probability theory) Estimation theory Nonparametric statistics Schätzung (DE-588)4193791-0 gnd Schätztheorie (DE-588)4121608-8 gnd Dichte Stochastik (DE-588)4139581-5 gnd |
| subject_GND | (DE-588)4193791-0 (DE-588)4121608-8 (DE-588)4139581-5 |
| title | Nonparametric probability density estimation |
| title_auth | Nonparametric probability density estimation |
| title_exact_search | Nonparametric probability density estimation |
| title_full | Nonparametric probability density estimation Richard A. Tapia ; James R. Thompson |
| title_fullStr | Nonparametric probability density estimation Richard A. Tapia ; James R. Thompson |
| title_full_unstemmed | Nonparametric probability density estimation Richard A. Tapia ; James R. Thompson |
| title_short | Nonparametric probability density estimation |
| title_sort | nonparametric probability density estimation |
| topic | Distribution (Théorie des probabilités) Distribution (Théorie des probabilités) ram Estimation, Théorie de l' Estimation, théorie de l' ram Statistique non-paramétrique Statistique nonparamétrique ram Distribution (Probability theory) Estimation theory Nonparametric statistics Schätzung (DE-588)4193791-0 gnd Schätztheorie (DE-588)4121608-8 gnd Dichte Stochastik (DE-588)4139581-5 gnd |
| topic_facet | Distribution (Théorie des probabilités) Estimation, Théorie de l' Estimation, théorie de l' Statistique non-paramétrique Statistique nonparamétrique Distribution (Probability theory) Estimation theory Nonparametric statistics Schätzung Schätztheorie Dichte Stochastik |
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