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In this short note, I comment on the research of Pisarenko et al. (2014) regarding the extreme value theory and statistics in case of earthquake magnitudes. The link between the generalized extreme value distribution (GEVD) as an asymptotic…

地球物理 · 物理学 2015-06-23 Mathias Raschke

In the present paper, we analyze the fractal structures in magnitude time series for a set of unprecedented sample extracted from the National Earthquake Information Center (NEIC) catalog corresponding to 12 Circum-Pacific subduction zones…

地球物理 · 物理学 2017-07-31 D. B. de Freitas , G. S. França , T. M. Scheerer , C. S. Vilar , R. Silva

The availability of large datasets requires an improved view on statistical laws in complex systems, such as Zipf's law of word frequencies, the Gutenberg-Richter law of earthquake magnitudes, or scale-free degree distribution in networks.…

数据分析、统计与概率 · 物理学 2019-04-30 Martin Gerlach , Eduardo G. Altmann

General Relativity (GR) is consistent with a wide range of experiments/observations from millimeter scales up to galactic scales and beyond. However, there are reasons to believe that GR may need to be modified because it includes…

广义相对论与量子宇宙学 · 物理学 2019-07-17 Leandros Perivolaropoulos , Lavrentios Kazantzidis

We have numerically investigated statistical properties of the so-called interoccurrence time or the waiting time, i.e., the time interval between successive earthquakes, based on the two-dimensional (2-D) spring-block (Burridge-Knopoff)…

统计力学 · 物理学 2007-08-30 Tomohiro Hasumi

We propose to analyse the statistical properties of a sequence of vectors using the spectrum of the associated Gram matrix. Such sequences arise e.g. by the repeated action of a deterministic kicked quantum dynamics on an initial condition…

数学物理 · 物理学 2007-05-23 Mieke De Cock , Mark Fannes , Pascal Spincemaille

Terra Seismic can predict most major earthquakes (M6.2 or greater) at least 2 - 5 months before they will strike. Global earthquake prediction is based on determinations of the stressed areas that will start to behave abnormally before…

地球物理 · 物理学 2020-03-18 Oleg Elshin , Andrew A. Tronin

We consider a more generalized spiked covariance matrix $\Sigma$, which is a general non-definite matrix with the spiked eigenvalues scattered into a few bulks and the largest ones allowed to tend to infinity. By relaxing the matching of…

统计方法学 · 统计学 2019-04-26 Dandan Jiang , Zhidong Bai

Given a distribution of earthquake-induced seafloor elevations, we present a method to compute the probability of the resulting tsunamis reaching a certain size on shore. Instead of sampling, the proposed method relies on optimization to…

地球物理 · 物理学 2023-07-05 Shanyin Tong , Eric Vanden-Eijnden , Georg Stadler

Recent observation studies have revealed that earthquakes are classified into several different categories. Each category might be characterized by the unique statistical feature in the time series, but the present understanding is still…

地球物理 · 物理学 2021-03-24 Sumanta Kundu , Anca Opris , Yohei Yukutake , Takahiro Hatano

This paper is an attempt for arguing the possibility for short time when, where and how Earthquakes prediction. The local when Earthquake prediction is based on the connection between geomagnetic quakes and the next incoming minimum or…

地球物理 · 物理学 2007-05-23 S. Cht. Mavrodiev

Due to the saturation of the body ($m_b$) and surface ($M_S$) earthquake magnitudes, the moment magnitude ($M_W$) is a more convenient parameter for representing earthquake energies. We use the HRVD data, including 18,569 earthquakes…

地球物理 · 物理学 2024-10-15 Zahra Firoozeh , Somayeh Taran , Nasila Asaadi , Hossein safari

A new law regarding structure of the earthquake networks is found. The seismic data taken in California is mapped to a growing directed network. Then, statistics of period in the network, which implies that after how many earthquakes an…

无序系统与神经网络 · 物理学 2009-11-10 Sumiyoshi Abe , Norikazu Suzuki

The relation between seismic moment and fractured area is crucial to earthquake hazard analysis. Experimental catalogs show multiple scaling behaviors, with some controversy concerning the exponent value in the large earthquake regime.…

统计力学 · 物理学 2016-05-11 François P. Landes , E. Lippiello

Tunguska and Chelyabinsk impact events occurred inside a geographical area of only 3.4\% of the Earth's surface. Although two events hardly constitute a statistically significant demonstration of a geographical pattern of impacts, their…

地球与行星天体物理 · 物理学 2018-05-16 Jorge I. Zuluaga , Mario Sucerquia

We derive in this article the {\it lower} bound for tail of distribution for the random variables (r.v.) through a lower estimate for its moment generating functions (MGF).

概率论 · 数学 2017-11-21 E. Ostrovsky , L. Sirota

Earthquakes are commonly estimated using physical seismic stations, however, due to the installation requirements and costs of these stations, global coverage quickly becomes impractical. An efficient and lower-cost alternative is to…

计算机视觉与模式识别 · 计算机科学 2026-05-08 Daniele Rege Cambrin , Isaac Corley , Paolo Garza , Peyman Najafirad

Coulomb-stress theory has been used for years in seismology to understand how earthquakes trigger each other. Whenever an earthquake occurs, the stress field changes, and places with positive increases are brought closer to failure.…

地球物理 · 物理学 2019-07-31 Víctor Navas-Portella , Abigail Jiménez , Álvaro Corral

Ruptures of the largest earthquakes can last between a few seconds and several minutes. An early assessment of the final earthquake size is essential for early warning systems. However, it is still unclear when in the rupture history this…

地球物理 · 物理学 2022-07-08 Jannes Münchmeyer , Ulf Leser , Frederik Tilmann

In recent years the global seismic scaling relations for the frequency of maximum power and for the large frequency separation have caught the attention of various fields of astrophysics. With the exquisite photometry of \textit{Kepler},…

太阳与恒星天体物理 · 物理学 2018-08-29 T. Kallinger , P. G. Beck , D. Stello , R. A. Garcia