We define a multivariate medial correlation coefficient that extends the probabilistic interpretation and properties of Blomqvist's $\beta$ coefficient, incorporates multivariate marginal dependencies and it preserves a stronger multivariate concordance relation. We determine the maximum and minimum values attainable and illustrate the results in some models. We end with an application on real datasets.

翻译：我们定义了一个多变量介质相关系数,该系数扩大了布隆克维斯特的$\beta$系数的概率解释和特性,纳入了多变量的边际依赖性,并保持了更强的多变量一致性关系。我们确定了可以达到的最高值和最低值,并对某些模型的结果进行了说明。我们最后对真实数据集进行了应用。