Economic and financial crises are characterised by unusually large events. These tail events co-move because of linear and/or nonlinear dependencies. We introduce TailCoR, a metric that combines (and disentangles) these linear and non-linear dependencies. TailCoR between two variables is based on the tail inter quantile range of a simple projection. It is dimension-free, it performs well in small samples, and no optimisations are needed.
翻译:经济和金融危机的特点是异常大的事件。这些尾巴事件由于线性和/或非线性依赖性而同时移动。我们引入了TailCorR,这是一个将线性和非线性依赖性结合起来(和分解)的衡量标准。两个变量之间的尾部CorR基于一个简单预测的尾部四分位范围。它没有维度,在小样本中运行良好,不需要优化。