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相关论文: Bayesian Estimation of the ETAS Model for Earthqua…

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Epidemic-Type Aftershock Sequence (ETAS) models are point processes that have found prominence in seismological modeling. Its success has led to the development of a number of different versions of the ETAS model. Among these extensions is…

应用统计 · 统计学 2022-07-06 Tom Stindl , Feng Chen

Performing Bayesian inference for the Epidemic-Type Aftershock Sequence (ETAS) model of earthquakes typically requires MCMC sampling using the likelihood function or estimating the latent branching structure. These tasks have computational…

应用统计 · 统计学 2024-05-29 Samuel Stockman , Daniel J. Lawson , Maximilian J. Werner

Self-exciting Hawkes processes are used to model events which cluster in time and space, and have been widely studied in seismology under the name of the Epidemic Type Aftershock Sequence (ETAS) model. In the ETAS framework, the occurrence…

统计计算 · 统计学 2020-02-06 Aleksandar A. Kolev , Gordon J. Ross

A prominent feature of earthquakes is their empirical laws including memory (clustering) in time and space. Several earthquake forecasting models, like the EpidemicType Aftershock Sequence (ETAS) model, were developed based on earthquake…

地球物理 · 物理学 2020-03-30 Yongwen Zhang , Dong Zhou , Jingfang Fan , Warner Marzocchi , Yosef Ashkenazy , Shlomo Havlin

The spatio-temporal Epidemic Type Aftershock Sequence (ETAS) model is widely used to describe the self-exciting nature of earthquake occurrences. While traditional inference methods provide only point estimates of the model parameters, we…

We propose two methods to calibrate the parameters of the epidemic-type aftershock sequence (ETAS) model based on expectation maximization (EM) while accounting for temporal variation of catalog completeness. The first method allows for…

地球物理 · 物理学 2022-01-05 Leila Mizrahi , Shyam Nandan , Stefan Wiemer

Earthquake nowcasting has been proposed as a means of tracking the change in large earthquake potential in a seismically active area. The method was developed using observable seismic data, in which probabilities of future large earthquakes…

地球物理 · 物理学 2023-10-24 Ian Baughman , John B Rundle , Tianjin Zhang

The Epidemic Type Aftershock Sequence (ETAS) model is widely used to model seismic sequences and underpins Operational Earthquake Forecasting (OEF). However, it remains challenging to assess the reliability of inverted ETAS parameters for a…

应用统计 · 统计学 2022-12-16 Mark Naylor , Francesco Serafini , Finn Lindgren , Ian Main

As part of an effort to develop a systematic methodology for earthquake forecasting, we use a simple model of seismicity based on interacting events which may trigger a cascade of earthquakes, known as the Epidemic-Type Aftershock Sequence…

统计力学 · 物理学 2015-06-24 A. Helmstetter , D. Sornette

The Himalayan region, including Nepal, is prone to frequent and large earthquakes. Accurate forecasting of these earthquakes is crucial for minimizing loss of life and damage to infrastructure. In this study, we propose various time-scaled…

应用统计 · 统计学 2025-08-07 Agniva Das , Muralidharan K

The scientific process of earthquake forecasting involves estimating the probability and intensity of earthquakes in a specific area within a certain timeframe, based on seismic activity laws and observational data. Epidemic-Type Aftershock…

地球物理 · 物理学 2023-10-05 Haoyuan Zhang , Shuya Ke , Wenqi Liu , Yongwen Zhang

The ETAS model is widely employed to model the spatio-temporal distribution of earthquakes, generally using spatially invariant parameters. We propose an efficient method for the estimation of spatially varying parameters, using the…

地球物理 · 物理学 2017-06-28 Shyam Nandan , Guy Ouillon , Stefan Wiemer , Didier Sornette

Earthquakes are one of the most devastating natural disasters that plague society. A skilled, reliable earthquake forecasting remains the ultimate goal for seismologists. Using the detrended fluctuation analysis (DFA) and conditional…

In statistical seismology, the Epidemic Type Aftershocks Sequence (ETAS) model is a branching process used world-wide to forecast earthquake intensity rates and reproduce many statistical features observed in seismicity catalogs. In this…

地球物理 · 物理学 2023-01-09 Lorenzo Cristofaro , Roberto Garra , Enrico Scalas , Ilaria Spassiani

The conditional intensity function of a point process is a useful tool for generating probability forecasts of earthquakes. The epidemic-type aftershock sequence (ETAS) model is defined by a conditional intensity function, and the…

应用统计 · 统计学 2014-12-08 Takao Kumazawa , Yosihiko Ogata

Currently, one of the best performing and most popular earthquake forecasting models rely on the working hypothesis that: "locations of past background earthquakes reveal the probable location of future seismicity". As an alternative, we…

地球物理 · 物理学 2020-01-08 Shyam Nandan , Guy Ouillon , Didier Sornette , Stefan Wiemer

The Epidemic-Type Aftershock Sequences (ETAS) model and its variants effectively capture the space-time clustering of seismicity, setting the standard for earthquake forecasting. Accurate unbiased ETAS calibration is thus crucial. But we…

地球物理 · 物理学 2025-06-23 Jiawei Li , Didier Sornette , Zhongliang Wu , Jiancang Zhuang , Changsheng Jiang

Several recent works point out that the crowd of small unobservable earthquakes (with magnitudes below the detection threshold $m_d$) may play a significant and perhaps dominant role in triggering future seismicity. Using the ETAS branching…

地球物理 · 物理学 2007-12-04 A. Saichev , D. Sornette

The ETAS models are currently the most popular in the field of earthquake forecasting. The MCMC method is time-consuming and limited by parameter correlation while bringing parameter uncertainty. The INLA-based method "inlabru" solves these…

应用统计 · 统计学 2025-10-17 Ziwen Zhong

Point processes have been dominant in modeling the evolution of seismicity for decades, with the Epidemic Type Aftershock Sequence (ETAS) model being most popular. Recent advances in machine learning have constructed highly flexible point…

地球物理 · 物理学 2023-10-04 Samuel Stockman , Daniel J. Lawson , Maximilian J. Werner
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