Mathematical Sciences: Advanced Statistical Methods for Analyzing Data from Astronomical Surveys

本研究项目的目标是开发一种 卫星数据分析统计程序的数量。 这样的天文数据有许多独特的方面， 这就需要开发新的统计方法。具体 将要解决的问题涉及非参数回归 当自变量和因变量都服从 比率间左截尾和非参数回归 从左删失数据中获得。优化设计 将发展无探测的天文测量。 具有测量误差的回归的Bootstrap方法 还将开发和回归问题进行分析，其中 变量受到测量误差的影响，其方差为 已知，但在观察中有所不同。

The objective of this research project is to develop a number of statistical procedures for satellite data analysis. Such astronomical data have a number of singular aspects that necessitate the development of new statistical methods. Specific problems that will be addressed involve nonparametric regression when both the independent and dependent variables are subject to left censoring and nonparametric regression between ratios obtained from left-censored data. Optimal designs for astronomical surveys with nondetections will be developed. Bootstrap methods for regression with measurement errors will also be developed and regression problems will be analyzed where the variables are subject to measurement error whose variance is known but varies across the observations.