Model-free curve estimation:
This book details Fourier series approach to density estimation and also explores how model-free technology can be expanded to deal with other statistical curves such as survival and regression functions. Beyond these traditional curves, the book describes the implementation of some new curves for e...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Chapman & Hall
1993
|
| Schriftenreihe: | Monographs on statistics and applied probability
56 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | This book details Fourier series approach to density estimation and also explores how model-free technology can be expanded to deal with other statistical curves such as survival and regression functions. Beyond these traditional curves, the book describes the implementation of some new curves for exploratory data analysis These include a specialized curve for detecting and analyzing hidden subpopulations in data and a family of curves useful for finding the best transformation and model to use in a statistical analysis. Throughout the emphasis is on the practical aspects of implementing and applying curve-estimation techniques although theoretical matters are addressed when necessary |
| Beschreibung: | Literaturverz. S. 262 - 276 |
| Beschreibung: | X, 290 S. graph. Darst. |
| ISBN: | 0412042517 |
Internformat
MARC
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| 490 | 1 | |a Monographs on statistics and applied probability |v 56 | |
| 500 | |a Literaturverz. S. 262 - 276 | ||
| 520 | 3 | |a This book details Fourier series approach to density estimation and also explores how model-free technology can be expanded to deal with other statistical curves such as survival and regression functions. Beyond these traditional curves, the book describes the implementation of some new curves for exploratory data analysis | |
| 520 | |a These include a specialized curve for detecting and analyzing hidden subpopulations in data and a family of curves useful for finding the best transformation and model to use in a statistical analysis. Throughout the emphasis is on the practical aspects of implementing and applying curve-estimation techniques although theoretical matters are addressed when necessary | ||
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| 650 | 4 | |a Estimation theory | |
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Datensatz im Suchindex
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Titel: Model free curve estimation
Autor: Tarter, Michael E
Jahr: 1993
Contents Preface vii 1. Introduction to curve estimation 1 1.1 Example: Model identification 1 1.2 Example: Mixture decomposition 5 1.3 Example: Regression 10 1.4 Outline of topics 13 2. Generalized representation 17 2.1 The problem of specification 17 2.2 History of generalized representation 22 2.3 From representation to curve estimation 28 2.4 The method of moments 32 3. Series and kernel-based density estimation 36 3.1 Initial choices 36 3.2 Fourier series density estimation 39 3.3 Kernel density estimation 49 4. Optimizing density estimates 61 4.1 Preliminary considerations 62 4.2 Single-term stopping rule 64 4.3 Diggle and Hall stopping rule 70 4.4 Hart stopping rule 73 4.5 Fellner multiplier sequence 74 4.6 Estimated Watson multipliers 78 4.7 The weighted MISE 80 4.8 Transformations and the weighted MISE 83 4.9 Weighted multiplier sequences 87 5. Mixture decomposition applications 91 5.1 Mixtures and multipliers 91 5.2 Approaches to mixture decomposition 96 5.3 Fejér multipliers as intermediates between Dirichlet and lambda multipliers 99 5.4 Lambda multipliers 106 5.5 The lambda KT used for a 2 reduction 110
Vi CONTENTS 5.6 Generalizations and limitations of lambda methodology 114 6. Curve estimation approaches to model and transformation selection 121 6.1 Parameters, properties, and multipliers 126 6.2 Coefficients as properties and parameters 131 6.3 Curves and multiple parameters 132 6.4 An example of the simultaneous selection of a model and a transformation 134 7. Threshold parameter and transformation applications 137 7.1 The R(x) function and skewness 144 7.2 The specifics of model, logmodel and fractional power model selection 146 7.3 Extended model general curve estimator complexity 149 7.4 Specific elementary function choices of G 150 7.5 R(x) and modularity 156 7.6 curves 158 7.7 Truncation adjustments 161 8. Applications of likelihood multipliers 167 8.1 Likelihood multiplier LAV and other types of regression 170 8.2 Series representation of the likelihood function 185 8.3 Multiplier system independence 187 8.4 Sheppard’s correction and the lambda method 189 8.5 Correction for grouping 191 8.6 The Pearson and Poisson families 194 8.7 The Neyman discrete variate test 208 8.8 Discrete variates and logistic regression 209 9. Survival curve and bivariate estimation applications 212 9.1 Likelihood in the generalized case 216 9.2 Survival curve applications: The stationary case 218 9.3 Survival curve applications: The nonstationary case 223 9.4 Bivariate model and transformation selection 227 9.5 Likelihood ratio tests 233 10. Nonparametric curve estimation and inference 236 10.1 Nonparametric inference and curve estimation 239 10.2 The hybrid Wilcoxon test and the logistic model 243 10.3 Bayesian inference and curve estimation 252 10.4 The Watson A-test and its generalizations 256 References 262 Author Index 277 Subject Index 281 |
| any_adam_object | 1 |
| author | Tarter, Michael E. Lock, Michael D. |
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| dewey-full | 519.5/44 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5/44 |
| dewey-search | 519.5/44 |
| dewey-sort | 3519.5 244 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV009763380 |
| illustrated | Illustrated |
| indexdate | 2024-11-04T13:01:35Z |
| institution | BVB |
| isbn | 0412042517 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006458441 |
| oclc_num | 29183070 |
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| owner_facet | DE-945 DE-19 DE-BY-UBM DE-703 DE-83 DE-11 DE-188 |
| physical | X, 290 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Chapman & Hall |
| record_format | marc |
| series | Monographs on statistics and applied probability |
| series2 | Monographs on statistics and applied probability |
| spelling | Tarter, Michael E. Verfasser (DE-588)170976025 aut Model-free curve estimation Michael E. Tarter ; Michael D. Lock New York, NY [u.a.] Chapman & Hall 1993 X, 290 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Monographs on statistics and applied probability 56 Literaturverz. S. 262 - 276 This book details Fourier series approach to density estimation and also explores how model-free technology can be expanded to deal with other statistical curves such as survival and regression functions. Beyond these traditional curves, the book describes the implementation of some new curves for exploratory data analysis These include a specialized curve for detecting and analyzing hidden subpopulations in data and a family of curves useful for finding the best transformation and model to use in a statistical analysis. Throughout the emphasis is on the practical aspects of implementing and applying curve-estimation techniques although theoretical matters are addressed when necessary Courbes empiriques ram Curve fitting gtt Estimation, théorie de l' ram Schattingstheorie gtt Curve fitting Estimation theory Schätztheorie (DE-588)4121608-8 gnd rswk-swf Kurve (DE-588)4033824-1 gnd rswk-swf Kurve (DE-588)4033824-1 s Schätztheorie (DE-588)4121608-8 s DE-604 Lock, Michael D. Verfasser (DE-588)170976033 aut Monographs on statistics and applied probability 56 (DE-604)BV002494005 56 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006458441&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tarter, Michael E. Lock, Michael D. Model-free curve estimation Monographs on statistics and applied probability Courbes empiriques ram Curve fitting gtt Estimation, théorie de l' ram Schattingstheorie gtt Curve fitting Estimation theory Schätztheorie (DE-588)4121608-8 gnd Kurve (DE-588)4033824-1 gnd |
| subject_GND | (DE-588)4121608-8 (DE-588)4033824-1 |
| title | Model-free curve estimation |
| title_auth | Model-free curve estimation |
| title_exact_search | Model-free curve estimation |
| title_full | Model-free curve estimation Michael E. Tarter ; Michael D. Lock |
| title_fullStr | Model-free curve estimation Michael E. Tarter ; Michael D. Lock |
| title_full_unstemmed | Model-free curve estimation Michael E. Tarter ; Michael D. Lock |
| title_short | Model-free curve estimation |
| title_sort | model free curve estimation |
| topic | Courbes empiriques ram Curve fitting gtt Estimation, théorie de l' ram Schattingstheorie gtt Curve fitting Estimation theory Schätztheorie (DE-588)4121608-8 gnd Kurve (DE-588)4033824-1 gnd |
| topic_facet | Courbes empiriques Curve fitting Estimation, théorie de l' Schattingstheorie Estimation theory Schätztheorie Kurve |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006458441&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002494005 |
| work_keys_str_mv | AT tartermichaele modelfreecurveestimation AT lockmichaeld modelfreecurveestimation |