The class of (p1,…,pk)-spherical probability laws and a method of simulating random vectors following such distributions are introduced using a new stochastic vector representation. A dynamic geometric disintegration method and a corresponding geometric measure representation are used for generalizing the classical χ2-, t- and F-distributions. Comparing the principles of specialization and marginalization gives rise to an alternative method of dependence modeling.

中文翻译：

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关于（p ₁，…，p _k）球面分布

使用一种新的随机矢量表示法介绍了（p1，…，pk）球形概率定律的类别以及遵循这种分布的模拟随机矢量的方法。动态几何分解方法和相应的几何度量表示用于概括经典的χ2，t和F分布。比较专业化和边缘化的原理，产生了依赖模型的另一种方法。