A general and relatively simple method for construction of multivariate goodness-of-fit tests is introduced. The proposed test is applied to elliptical distributions. The method is based on a characterization of probability distributions via their characteristic function. The consistency and other limit properties of the new test statistics are studied. Also in a simulation study the proposed tests are compared with earlier as well as more recent competitors.

翻译：采用一般的、相对简单的方法来构建多种变式健康试验,对椭圆分布进行拟议的试验,该方法基于对通过其特性功能的概率分布的定性,研究新的试验统计的一致性和其他限制特性,在模拟研究中,还将拟议的试验与早先和最近的竞争对手进行比较。