Cluster indices describe extremal behaviour of stationary time series. We consider runs estimators of cluster indices. Using a modern theory of multivariate, regularly varying time series, we obtain central limit theorems under conditions that can be easily verified for a large class of models. In particular, we show that blocks and runs estimators have the same limiting variance.

翻译：群集指数描述固定时间序列的极端行为。 我们考虑群集指数的运行估计值。 使用现代多变、经常变化的时间序列理论,我们获得核心限制定理,条件是能够很容易地为一大批模型进行验证。 特别是, 我们显示区块和运行估计值存在相同的限制差异。