Mathematical Sciences: Multi-Dimensional Statistical Analysis

统一这一项目的基本主题是多维统计分析推理的发展。这项工作有几个不同的推力，其中一些一直是首席研究员感兴趣的，另一些是新的。主要感兴趣的领域是具有给定边缘分布的多变量分布的生成。这将包括研究由伯努利分布产生的双变量分布；双变量分布族；由混合产生的分布族；双变量均匀分布；双变量Logistic分布；以及带约束的双变量分布。此外，还将研究具有结构化参数和不平等度量的多变量模型。

The underlying theme that unifies this project is the development of inference for multidimensional statistical analysis. This work has several different thrusts, some of which have been of continuing interest to the principal investigator, others new. The primary area of interest is the generation of multivariate distributions with given marginal distributions. This will include research on bivariate distributions generated from Bernoulli distributions; families of bivariate distributions; families of distributions generated from mixtures; bivariate uniform distributions; bivariate logistic distributions; and bivariate distributions with constraints. Multivariate models with structured parameters and measures of inequality will also be investigated.