Artículo
Abstract:
Aims. Knowing the distribution of stellar rotational velocities is essential for understanding stellar evolution. Because we measure the projected rotational speed v sin i, we need to solve an ill-posed problem given by a Fredholm integral of the first kind to recover the "true" rotational velocity distribution. Methods. After discretization of the Fredholm integral we apply the Tikhonov regularization method to obtain directly the probability distribution function for stellar rotational velocities. We propose a simple and straightforward procedure to determine the Tikhonov parameter. We applied Monte Carlo simulations to prove that the Tikhonov method is a consistent estimator and asymptotically unbiased. Results. This method is applied to a sample of cluster stars. We obtain confidence intervals using a bootstrap method. Our results are in close agreement with those obtained using the Lucy method for recovering the probability density distribution of rotational velocities. Furthermore, Lucy estimation lies inside our confidence interval. Conclusions. Tikhonov regularization is a highly robust method that deconvolves the rotational velocity probability density function from a sample of v sin i data directly without the need for any convergence criteria. © 2016 ESO.
Registro:
| Documento: | Artículo |
| Título: | A method to deconvolve stellar rotational velocities II: The probability distribution function via Tikhonov regularization |
| Autor: | Christen, A.; Escarate, P.; Curé, M.; Rial, D.F.; Cassetti, J. |
| Filiación: | Instituto de Estadística, Pontificia Universidad Católica de Valparaíso, Valparaíso, 2950, Chile Centro Avanzado de Ingenieriá Eléctrica y Electrónica, Universidad Técnica Federico Santa Mariá, Valparaíso, 1680, Chile Large Binocular Telescope Observatory, Steward Observatory, Tucson, AZ 85546, United States Instituto de Física y Astronomiá, Universidad de Valparaíso, Chile Departamento de Matemáticas, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1053, Argentina Universidad Nacional de General Sarmiento, Buenos Aires, 1613, Argentina |
| Palabras clave: | Methods: data analysis; Methods: numerical; Methods: statistical; Stars: fundamental parameters; Stars: rotation; Distribution functions; Financial data processing; Intelligent systems; Monte Carlo methods; Numerical methods; Probability; Probability distributions; Problem solving; Stars; Statistical methods; Velocity; Velocity distribution; Methods: numericals; Methods:data analysis; Methods:statistical; Stars: Rotation; Stars:fundamental parameters; Probability density function |
| Año: | 2016 |
| Volumen: | 595 |
| DOI: | http://dx.doi.org/10.1051/0004-6361/201629070 |
| Título revista: | Astronomy and Astrophysics |
| Título revista abreviado: | Astron. Astrophys. |
| ISSN: | 00046361 |
| CODEN: | AAEJA |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00046361_v595_n_p_Christen |
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Citas:
---------- APA ----------
Christen, A., Escarate, P., Curé, M., Rial, D.F. & Cassetti, J. (2016) . A method to deconvolve stellar rotational velocities II: The probability distribution function via Tikhonov regularization. Astronomy and Astrophysics, 595.http://dx.doi.org/10.1051/0004-6361/201629070
---------- CHICAGO ----------
Christen, A., Escarate, P., Curé, M., Rial, D.F., Cassetti, J. "A method to deconvolve stellar rotational velocities II: The probability distribution function via Tikhonov regularization" . Astronomy and Astrophysics 595 (2016).http://dx.doi.org/10.1051/0004-6361/201629070
---------- MLA ----------
Christen, A., Escarate, P., Curé, M., Rial, D.F., Cassetti, J. "A method to deconvolve stellar rotational velocities II: The probability distribution function via Tikhonov regularization" . Astronomy and Astrophysics, vol. 595, 2016.http://dx.doi.org/10.1051/0004-6361/201629070
---------- VANCOUVER ----------
Christen, A., Escarate, P., Curé, M., Rial, D.F., Cassetti, J. A method to deconvolve stellar rotational velocities II: The probability distribution function via Tikhonov regularization. Astron. Astrophys. 2016;595.http://dx.doi.org/10.1051/0004-6361/201629070
