Mathematical Sciences: Multi-Dimensional Statistical Analysis

本研究项目涉及多维统计分析。该项目支持多变量分布方面的工作，特别是多变量分布的理论考虑、相关性性质、排序和近似、单变量分布向更高维度的扩展、非参数家族和以边缘为参数的家族本研究属于一般统计学领域。多维统计分析有许多应用，包括用于模拟传染过程的URN模型，以及在可靠性理论背景下使用的冲击模型。

This research project concerns multi-dimensional statistical analysis. The project supports work in multivariate distributions and, in particular, theoretical considerations, dependency properties, orderings and approximations of multivariate distributions, extensions of univariate distributions to higher dimensions, nonparametric families and families with marginals as parameters This research is in the general area of statistics. Multi- dimensional statistical analysis has many applications including Urn models which are used to model the contagion process, and shock models used in the context of reliability theory.