Statistical tests of nonparametric hypotheses: asymptotic theory
An overview of the asymptotic theory of optimal nonparametric tests is presented in this book. It covers a wide range of topics: Neyman-Pearson and LeCam's theories of optimal tests, the theories of empirical processes and kernel estimators with extensions of their applications to the asymptoti...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2014
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| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | An overview of the asymptotic theory of optimal nonparametric tests is presented in this book. It covers a wide range of topics: Neyman-Pearson and LeCam's theories of optimal tests, the theories of empirical processes and kernel estimators with extensions of their applications to the asymptotic behavior of tests for distribution functions, densities and curves of the nonparametric models defining the distributions of point processes and diffusions. With many new test statistics developed for smooth curves, the reliance on kernel estimators with bias corrections and the weak convergence of the estimators are useful to prove the asymptotic properties of the tests, extending the coverage to semiparametric models. They include tests built from continuously observed processes and observations with cumulative intervals |
| Physical Description: | x, 293 p. ill |
| ISBN: | 9789814531757 |
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| id | DE-604.BV044639793 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:56Z |
| institution | BVB |
| isbn | 9789814531757 |
| language | English |
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| physical | x, 293 p. ill |
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| publisher | World Scientific Pub. Co. |
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| spelling | Pons, Odile Verfasser aut Statistical tests of nonparametric hypotheses asymptotic theory Odile Pons Singapore World Scientific Pub. Co. c2014 x, 293 p. ill txt rdacontent c rdamedia cr rdacarrier An overview of the asymptotic theory of optimal nonparametric tests is presented in this book. It covers a wide range of topics: Neyman-Pearson and LeCam's theories of optimal tests, the theories of empirical processes and kernel estimators with extensions of their applications to the asymptotic behavior of tests for distribution functions, densities and curves of the nonparametric models defining the distributions of point processes and diffusions. With many new test statistics developed for smooth curves, the reliance on kernel estimators with bias corrections and the weak convergence of the estimators are useful to prove the asymptotic properties of the tests, extending the coverage to semiparametric models. They include tests built from continuously observed processes and observations with cumulative intervals Nonparametric statistics / Asymptotic theory Asymptotik (DE-588)4126634-1 gnd rswk-swf Nichtparametrischer Test (DE-588)4075372-4 gnd rswk-swf Nichtparametrischer Test (DE-588)4075372-4 s Asymptotik (DE-588)4126634-1 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789814531740 (hard cover : alk. paper) http://www.worldscientific.com/worldscibooks/10.1142/8925#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Pons, Odile Statistical tests of nonparametric hypotheses asymptotic theory Nonparametric statistics / Asymptotic theory Asymptotik (DE-588)4126634-1 gnd Nichtparametrischer Test (DE-588)4075372-4 gnd |
| subject_GND | (DE-588)4126634-1 (DE-588)4075372-4 |
| title | Statistical tests of nonparametric hypotheses asymptotic theory |
| title_auth | Statistical tests of nonparametric hypotheses asymptotic theory |
| title_exact_search | Statistical tests of nonparametric hypotheses asymptotic theory |
| title_full | Statistical tests of nonparametric hypotheses asymptotic theory Odile Pons |
| title_fullStr | Statistical tests of nonparametric hypotheses asymptotic theory Odile Pons |
| title_full_unstemmed | Statistical tests of nonparametric hypotheses asymptotic theory Odile Pons |
| title_short | Statistical tests of nonparametric hypotheses |
| title_sort | statistical tests of nonparametric hypotheses asymptotic theory |
| title_sub | asymptotic theory |
| topic | Nonparametric statistics / Asymptotic theory Asymptotik (DE-588)4126634-1 gnd Nichtparametrischer Test (DE-588)4075372-4 gnd |
| topic_facet | Nonparametric statistics / Asymptotic theory Asymptotik Nichtparametrischer Test |
| url | http://www.worldscientific.com/worldscibooks/10.1142/8925#t=toc |
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