Estimating multidimensional probability fields using the Field Estimator for Arbitrary Spaces (FiEstAS) with applications to astrophysics

Computer Physics Communications

Volumn 181, Issue 8, 2010, Pages 1438-1443

  Ascasibar, Yago ^a  

^a UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

Author keywords

Kernel density estimation; Multivariate data analysis

Indexed keywords

ARBITRARY SPACES; BIAS CORRECTION; DARK MATTER; DATA POINTS; DATA SPACE; DATA-DRIVEN; DISCRETE DATA; DYNAMICAL STRUCTURE; KERNEL DENSITY ESTIMATION; MULTIVARIATE DATA ANALYSIS; N-BODY SIMULATION; OPTIMAL CONFIGURATIONS; PARAMETER SETTING; PROBABILITY DENSITIES; REALISTIC MODEL; SAMPLE POINT; SOURCE CODES; TEST CASE;

ASTROPHYSICS; COMPUTER SIMULATION; COSMOLOGY; DATA REDUCTION; GALAXIES; MULTIVARIANT ANALYSIS; PROBABILITY DENSITY FUNCTION; SPHERES;

ESTIMATION;

EID: 77953137649     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2010.04.011     Document Type: Article

References (13)

1. Silverman B.W. Density Estimation for Statistics and Data Analysis. Monographs on Statistics and Applied Probability (1986), Chapman and Hall, London
2. Wand M.P., and Jones M.C. Kernel Smoothing. Monographs on Statistics and Applied Probability (1995), Chapman & Hall/CRC
3. Ascasibar Y., and Binney J. Numerical estimation of densities. MNRAS 356 (2005) 872-882. arXiv:astro-ph/0409233 10.1111/j.1365-2966.2004.08480.x
4. Vogelsberger M., White S.D.M., Helmi A., and Springel V. The fine-grained phase-space structure of cold dark matter haloes. MNRAS 385 (2008) 236-254. arXiv:0711.1105 10.1111/j.1365-2966.2007.12746.x
5. Wojtak R., Łokas E.L., Mamon G.A., Gottlöber S., Klypin A., and Hoffman Y. The distribution function of dark matter in massive haloes. MNRAS 388 (2008) 815-828. arXiv:0802.0429 10.1111/j.1365-2966.2008.13441.x
6. Vass I.M., Valluri M., Kravtsov A.V., and Kazantzidis S. Evolution of the dark matter phase-space density distributions of ΛCDM haloes. MNRAS 395 (2009) 1225-1236. arXiv:0810.0277 10.1111/j.1365-2966.2009.14614.x
7. Maciejewski M., Colombi S., Alard C., Bouchet F., and Pichon C. Phase-space structures - I. A comparison of 6D density estimators. MNRAS 393 (2009) 703-722. arXiv:0810.0504 10.1111/j.1365-2966.2008.14121.x
8. Sharma S., and Steinmetz M. Multidimensional density estimation and phase-space structure of dark matter haloes. MNRAS 373 (2006) 1293-1307 10.1111/j.1365-2966.2006.11043.x
9. Ascasibar Y. FiEstAS sampling - a Monte Carlo algorithm for multidimensional numerical integration. Computer Physics Communications 179 (2008) 881-887. arXiv:0807.4479 10.1016/j.cpc.2008.07.011
10. Wand M.P., and Jones M.C. Comparison of smoothing parameterizations in bivariate kernel density estimation. Journal of the American Statistical Association 88 422 (1993) 520-528. http://www.jstor.org/stable/2290332 URL
11. Duong T., and Hazelton M.L. Plug-in bandwidth selectors for bivariate kernel density estimation. Journal of Nonparametric Statistics 15 (2003) 17-30
12. Duong T., and Hazelton M.L. Cross-validation bandwidth matrices for multivariate kernel density estimation. Scandinavian Journal of Statistics 32 3 (2005) 485-506
13. Hernquist L. An analytical model for spherical galaxies and bulges. ApJ 356 (1990) 359-364 10.1086/168845