We introduce the general familiy of multivariate elliptical location-scale mixture model. This class of distributions presents a mathematically tractable extension of the multivariate elliptical distribution. We give some sufficient and/or necessary conditions for various of integral stochastic orders. The integral orders considered here are the usual, upper orthant, supermodular, convex, increasing convex and directionally convex stochastic orders.

翻译：我们引入了多变量椭圆级位置尺度混合模型的一般面孔。 这种分类分布型在数学上可以扩展多变量椭圆级分布。 我们给各种整体切片订单提供一些充足和/或必要的条件。 这里考虑的整体顺序是常规的、上层的、超模的、超模的、粘合的、不断增长的二次曲线和定向的二次曲线切片订单。