Goodness-of-fit test for directional data
In this paper, we study the problem of testing the hypothesis on whether the density f of a random variable on a sphere belongs to a given parametric class of densities. We propose two test statistics based on the L2 and L1 distances between a non-parametric density estimator adapted to circular dat...
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| Otros Autores: | , |
| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
2013
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 02761caa a22004097a 4500 | ||
|---|---|---|---|
| 001 | PAPER-11544 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518204142.0 | ||
| 008 | 140217s2013 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-84878204859 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Boente, G. | |
| 245 | 1 | 0 | |a Goodness-of-fit test for directional data |
| 260 | |c 2013 | ||
| 270 | 1 | 0 | |m Boente, G.; Departamento de Matemáticas, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria,email: gboente@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
| 520 | 3 | |a In this paper, we study the problem of testing the hypothesis on whether the density f of a random variable on a sphere belongs to a given parametric class of densities. We propose two test statistics based on the L2 and L1 distances between a non-parametric density estimator adapted to circular data and a smoothed version of the specified density. The asymptotic distribution of the L2 test statistic is provided under the null hypothesis and contiguous alternatives. We also consider a bootstrap method to approximate the distribution of both test statistics. Through a simulation study, we explore the moderate sample performance of the proposed tests under the null hypothesis and under different alternatives. Finally, the procedure is illustrated by analysing a real data set based on wind direction measurements. © 2013 Board of the Foundation of the Scandinavian Journal of Statistics. |l eng | |
| 536 | |a Article in Press | ||
| 593 | |a Facultad de Ciencias Exactas y Naturales Universidad de Buenos Aires and CONICET | ||
| 593 | |a Departamento de Estadística e Investigación Operativa Universidad de Santiago de Compostela | ||
| 690 | 1 | 0 | |a ASYMPTOTIC PROPERTIES |
| 690 | 1 | 0 | |a BOOTSTRAP TESTS |
| 690 | 1 | 0 | |a DENSITY ESTIMATION |
| 690 | 1 | 0 | |a HYPOTHESIS TESTING |
| 690 | 1 | 0 | |a MAXIMUM LIKELIHOOD ESTIMATORS |
| 690 | 1 | 0 | |a SPHERICAL DATA |
| 690 | 1 | 0 | |a VON MISES DISTRIBUTION |
| 700 | 1 | |a Rodriguez, D. | |
| 700 | 1 | |a Manteiga, W.G. | |
| 773 | 0 | |d 2013 |p Scand. J. Stat. |x 03036898 |w (AR-BaUEN)CENRE-6767 |t Scandinavian Journal of Statistics | |
| 856 | 4 | 1 | |u http://www.scopus.com/inward/record.url?eid=2-s2.0-84878204859&partnerID=40&md5=ae9beb3d8a0fb4a5761e63a63dcafd5e |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1111/sjos.12020 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_03036898_v_n_p_Boente |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03036898_v_n_p_Boente |y Registro en la Biblioteca Digital |
| 961 | |a paper_03036898_v_n_p_Boente |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 999 | |c 72497 | ||