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相关论文: Inference for extreme earthquake magnitudes accoun…

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The area-characteristic, maximum possible earthquake magnitude $T_M$ is required by the earthquake engineering community, disaster management agencies and the insurance industry. The Gutenberg-Richter law predicts that earthquake magnitudes…

应用统计 · 统计学 2018-01-19 Jan Beirlant , Andrzej Kijko , Tom Reynkens , John H. J. Einmahl

The $b$-value in the Gutenberg-Richter (GR) law contains information that is essential for evaluating earthquake hazard and predicting the occurrence of large earthquakes. Estimates of $b$ are often based on seismic events whose magnitude…

地球物理 · 物理学 2018-03-19 Jesper Martinsson , Adam Jonsson

The upper bound earthquake magnitude (maximum possible magnitude) of a truncated Gutenberg-Richter relation is the right truncation point (right end-point) of a truncated exponential distribution and is important in the probabilistic…

地球物理 · 物理学 2018-07-30 Mathias Raschke

The identification of patterns in space, time, and magnitude, which could potentially encode the subsequent earthquake magnitude, represents a significant challenge in earthquake forecasting. A pivotal aspect of this endeavor involves the…

地球物理 · 物理学 2024-04-25 Eugenio Lippiello , Lucilla de Arcangelis , Cataldo Godano

This paper investigates the use of extreme value theory for modelling the distribution of demand-net-of-wind for capacity adequacy assessment. Extreme value theory approaches are well-established and mathematically justified methods for…

应用统计 · 统计学 2019-07-31 Amy L Wilson , Stan Zachary

The Gutenberg-Richter power law distribution of earthquake sizes is one of the most famous example illustrating self-similarity. It is well-known that the Gutenberg-Richter distribution has to be modified for large seismic moments, due to…

统计力学 · 物理学 2022-12-07 D. Sornette , A. Sornette

The rapid proliferation of deep-learning-based detection and association methods has greatly expanded automatically generated earthquake catalogs, but has also introduced false detections, mis-associated arrivals, and poorly constrained…

地球物理 · 物理学 2026-03-03 Ziye Yu , Jinqing Sun , Yuqi Cai , Zemin Liu , Pingping Wu , Xin Liu , Jiayan Tan

It was conjectured for a long time that the tectonic plates are in a self-organized state of criticality and that the Gutenberg-Richter law is a manifestation of that. It was recently shown that for a system near criticality, the inequality…

地球物理 · 物理学 2026-02-12 Sudip Sarkar , Soumyajyoti Biswas

Earthquake prediction has been a challenging research area for many decades, where the future occurrence of this highly uncertain calamity is predicted. In this paper, several parametric and non-parametric features were calculated, where…

地球物理 · 物理学 2023-01-25 Gunbir Singh Baveja , Jaspreet Singh

We propose a new version of the ETAS model, which we also analyze theoretically. As for the standard ETAS model, we assume the Gutenberg-Richter law as a probability density function for background events' magnitude. Instead, the magnitude…

概率论 · 数学 2015-04-23 Ilaria Spassiani , Giovanni Sebastiani

Avalanche statistics of various threshold activated dynamical systems are known to depend on the magnitude of the drive, or stress, on the system. Such dependencies exist for earthquake size distributions, in sheared granular avalanches,…

统计力学 · 物理学 2019-01-07 Soumyajyoti Biswas , Lucas Goehring

The distribution of seismic moment is of capital interest to evaluate earthquake hazard, in particular regarding the most extreme events. We make use of likelihood-ratio tests to compare the simple Gutenberg-Richter power-law distribution…

数据分析、统计与概率 · 物理学 2015-09-07 Isabel Serra , Álvaro Corral

Estimates of seismic wave speeds in the Earth (seismic velocity models) are key input parameters to earthquake simulations for ground motion prediction. Owing to the non-uniqueness of the seismic inverse problem, typically many velocity…

地球物理 · 物理学 2024-12-05 Sam A. Scivier , Tarje Nissen-Meyer , Paula Koelemeijer , Atılım Güneş Baydin

It is well accepted that, at the global scale, the Gutenberg-Richter (GR) law describing the distribution of earthquake magnitude or seismic moment has to be modified at the tail to properly account for the most extreme events. It is…

数据分析、统计与概率 · 物理学 2020-11-10 Alvaro Corral , Isabel Serra

Earthquake occurrence is notoriously difficult to predict. While some aspects of their spatiotemporal statistics can be relatively well captured by point-process models, very little is known regarding the magnitude of future events, and it…

地球物理 · 物理学 2026-04-29 Neri Berman , Oleg Zlydenko , Oren Gilon , Yossi Matias , Yohai Bar-Sinai

Near real-time damage diagnosis of building structures after extreme events (e.g., earthquakes) is of great importance in structural health monitoring. Unlike conventional methods that are usually time-consuming and require human expertise,…

信号处理 · 电气工程与系统科学 2019-10-25 Seyed Omid Sajedi , Xiao Liang

This brief paper summarize the chances offered by the Peak-Over-Threshold method, related with analysis of extremes. Identification of appropriate Value at Risk can be solved by fitting data with a Generalized Pareto Distribution. Also an…

应用统计 · 统计学 2015-09-04 Gianluca Rosso

We propose a probabilistic approach to modeling catalog incompleteness through four candidate augmented Gutenberg-Richter (GR) laws, which incorporates incompleteness into the frequency-magnitude distribution (FMD) using two parameters, mc,…

地球物理 · 物理学 2025-06-23 Jiawei Li , Xinyi Wang , Didier Sornette

Threshold selection is a critical issue for extreme value analysis with threshold-based approaches. Under suitable conditions, exceedances over a high threshold have been shown to follow the generalized Pareto distribution (GPD)…

统计方法学 · 统计学 2018-06-13 Brian Bader , Jun Yan , Xuebin Zhang

We investigate the sequence of great earthquakes over the past century. To examine whether the earthquake record includes temporal clustering, we identify aftershocks and remove those from the record. We focus on the recurrence time,…

地球物理 · 物理学 2013-07-22 E. Ben-Naim , E. G. Daub , P. A. Johnson
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