Mathematical Sciences: Multivariate and Censored Data Analysis Methods for Astronomy

该项目继续合作研究， 天文学家和统计学家， 特别有用的统计程序，用于分析 观测天文学中出现的多元数据集。 它 解决了双变量估计的统计问题， 随机截尾分布函数 回归，随机条件下的多元正态性检验 审查和统计独立性的新分析。 统计分析可以阐明天体物理过程 其仅可从从以下样品获得的数据中检测： 天体 利用现代统计理论和 方法论，一些模糊的扭曲， 不可避免地在这样的数据可以“删除”，使最 物理意义上的关系更加明显。 比如说 恒星的光度、大小、自转和金属丰度之间的关系 椭圆星系可以被研究和描述。 这 合作研究的重点是开发新方法 这两项统计数据都有可能取得重大进展， 和天文学。

This project continues collaborative research between astronomers and statisticians with the objective of developing specifically useful statistical procedures for the analysis of multivariate data sets that arise in observational astronomy. It addresses the statistical problems of estimation of a bivariate distribution function under random censoring, censored regression, testing for multivariate normality under random censoring and a new analysis for statistical independence. Statistical analysis can elucidate astrophysical processes which are detectable only from data obtained from a sample of celestial objects. Using modern statistical theory and methodology, some of the obscuring distortions which are inevitable in such data can be "removed" to make the most physically meaningful relations more apparent. For example, the relations between luminosity, size, rotation and metallicity in elliptical galaxies can be examined and described. This collaborative research focuses on the development of new methods that carry the potential for major advances in both statistics and astronomy.