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Statistical methods for astronomical data with upper limits. II - Correlation and regression
Abstract
Statistical methods for calculating correlations and regressions in bivariate censored data where the dependent variable can have upper or lower limits are presented. Cox's regression and the generalization of Kendall's rank correlation coefficient provide significant levels of correlations, and the EM algorithm, under the assumption of normally distributed errors, and its nonparametric analog using the Kaplan-Meier estimator, give estimates for the slope of a regression line. Monte Carlo simulations demonstrate that survival analysis is reliable in determining correlations between luminosities at different bands. Survival analysis is applied to CO emission in infrared galaxies, X-ray emission in radio galaxies, H-alpha emission in cooling cluster cores, and radio emission in Seyfert galaxies.
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Cited by
Cappellari, M., Scott, N., Alatalo, K., Blitz, L., Bois, M., Bournaud, F., Bureau, M., Crocker, A. F., Davies, R. L., Davis, T. A., et al. (2013) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stt562 · Cited by 734
THE MASS DEPENDENCE BETWEEN PROTOPLANETARY DISKS AND THEIR STELLAR HOSTS
Andrews, S. M., Rosenfeld, K. A., Kraus, A. L., & Wilner, D. J. (2013) · The Astrophysical Journal · doi:10.1088/0004-637x/771/2/129 · Cited by 733
GeV OBSERVATIONS OF STAR-FORMING GALAXIES WITH THE FERMI LARGE AREA TELESCOPE
Ackermann, M., Ajello, M., Allafort, A., Baldini, L., Ballet, J., Bastieri, D., Bechtol, K., Bellazzini, R., Berenji, B., Bloom, E. D., et al. (2012) · The Astrophysical Journal · doi:10.1088/0004-637x/755/2/164 · Cited by 391
On the Relationship between Radio Emission and Black Hole Mass in Galactic Nuclei
Ho, L. C. (2002) · The Astrophysical Journal · doi:10.1086/324399 · Cited by 346
Supersaturation and activity-rotation relation in PMS stars: the young cluster h Persei
Argiroffi, C., Caramazza, M., Micela, G., Sciortino, S., Moraux, E., Bouvier, J., & Flaccomio, E. (2016) · Astronomy & Astrophysics · doi:10.1051/0004-6361/201526539 · Cited by 47
Metadata
- Authors
- Isobe, T., Feigelson, E. D., & Nelson, P. I.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 1986-07
- Volume
- 306
- Pages
- 490
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W2075669073
- Cited by
- 667
- References
- 0
- FWCI
- 4.25
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Statistical methods for astronomical data with upper limits. II - Correlation and regression. https://app.cochat.ai/papers/10.1086/164359
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- Isobe, T., Feigelson, E. D., & Nelson, P. I. (1986). Statistical methods for astronomical data with upper limits. II - Correlation and regression. The Astrophysical Journal. https://doi.org/10.1086/164359
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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