Statistical methods and various models in time-space-magnitude parameter space of earthquakes are being developed to analyze seismic activity based on earthquake hypocenter catalogs that are routinely accumulated. Considering complex geophysical environments and uncertainties, we seek proper stochastic modeling that depends on the history of earthquake occurrences and relevant geophysical information for describing and forecasting earthquake activity. Also, we need empirical Bayesian models with many parameters in order to describe nonstationary or nonhomogeneous seismic activity. This review is concerned with earthquake predictability research aimed at realizing practical operational forecasting. In particular, uncertainty lies in identifying whether abnormal phenomena are precursors to large earthquakes. The predictability of such models can be examined by certain statistical criteria.

中文翻译：

---

地震活动统计：地震可预测性研究的模型和方法

正在开发地震时空震级参数空间中的统计方法和各种模型，以基于常规积累的地震震源目录来分析地震活动。考虑到复杂的地球物理环境和不确定性，我们寻求适当的随机建模，依赖于地震发生的历史和相关的地球物理信息来描述和预测地震活动。此外，我们需要具有许多参数的经验贝叶斯模型来描述非平稳或非均匀地震活动。本综述涉及旨在实现实际业务预报的地震可预报性研究。特别是，不确定性在于确定异常现象是否是大地震的前兆。