Mathematical Sciences: Multivariate Distribution Theory

这项研究有两个组成部分。 一是系统地 研究多元分布的混合模型，因为它们 在物理环境中自然产生，统计推导， 贝叶斯分析。 这些模型往往揭示了 衍生分布的适用性和性质。 在 此外，采用函数方程技术， 特别是在多元分布的研究中， 均匀边缘 第二个组成部分是概括 可靠性模型 这项研究是在多元统计，目的是 创建并描述数学模型， 变量之间的关系。

This research has two components. One is to systematically study mixture models for multivariate distributions, as they arise naturally in physicaly settings, statistical derivations, and Bayesian analysis. These models often shed light on the applicability and properties of derived distributions. In addition, functional equation techniques are employed, particularly in the study of multivariate distributions with uniform marginals. The second component is to generalize reliability models. This research is in multivariate statistics and aims to create and characterize mathematical models which permit meaningful relationships between variables.