The estimation of the earthquake size distribution parameters is one of the most important parts in any seismic hazard study. GR_EST toolbox is a source code written for OCTAVE/MATLAB (Eaton et al., 2019; MATLAB, 2019) that allows estimating these parameters in a proper way, including the estimation of the associated uncertainties. The toolbox contains functions to make the parameter estimation both for instrumental and historical seismic catalogs, also considering time‐varying completeness for magnitudes. Different functional forms for the magnitude–frequency distribution and different strategies for the estimation of its parameters and relative uncertainty are included. To guide the seismologists into the use of this toolbox, a set of complete examples is provided, to be used as “how to” use cases.

中文翻译：

---

GR_EST：OCTAVE / MATLAB工具箱，用于估计古腾堡-里希特定律参数及其不确定性

地震规模分布参数的估计是任何地震灾害研究中最重要的部分之一。GR_EST工具箱是为OCTAVE / MATLAB编写的源代码（Eaton等人，2019; MATLAB，2019），它允许以适当的方式估算这些参数，包括估算相关的不确定性。工具箱包含用于对仪器和历史地震目录进行参数估计的功能，还考虑了随时间变化的震级完整性。包括幅度-频率分布的不同功能形式以及估计其参数和相对不确定性的不同策略。为了指导地震学家使用该工具箱，提供了一组完整的示例，用作“如何”使用案例。