Statistical Modeling of the Seismic Moments via Mathai Distribution

Vega-Jorquera, Pedro; Barra, Erick de la; Torres, Héctor; Vásquez, Yerko

doi:10.3390/e24050695

Cited by 3 publications

(1 citation statement)

References 22 publications

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“…To find the temporal entropic index q T and the parameter b T , the maximum likelihood method was used again (Vega Jorquera et al, 2022) The first new model to incorporate non-linear effects, long-range correlations, memory effects, among others, applied to earthquakes was Tsallis' non-extensive model. After that, several generalizations were proposed (see e.g.…”

Section: Interevent-time Distribution and Tsallis Modelmentioning

confidence: 99%

Characterization and seismic hazard in the Coquimbo Region, Chile: A probabilistic study

Ojeda,

Vega-Jorquera,

Barra

et al. 2023

Preprint

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In order to characterize seismically the Coquimbo Region, Chile, data from 1943 to 2020 were considered. The region was divided into 30 zones of 0.5 • latitude and 0.5 • longitude and the non-extensive statistical physics was used. Both, the Sotolongo-Costa-Posadas and Mathai models were proposed to analyze the magnitude-frequency distribution. The subdivision into cells of the catalog allowed to demonstrate that systems with value of q ∼ 1 present exponential behavior, while with the superposition of subsystems it was expected to obtain q > 1, supporting the su-perstatistical model. Thus, by subdividing the Coquimbo region into the South and North regions, we find that in both the entropic index is greater than one, q > 1, however , according to the value obtained, in the southern sector the long-range effects are greater than in the northern sector. This means that both sectors ae well described by the nonextensive statistical model, either by SCP model or Mathai model; the entropic index is q > 1 and in both cases R 2 > 0.99. As the Coquimbo region is considered as a all, the nonextensive statistical distribution is the more adequated. With respect to the probabilistic seismic hazard assessment, we showed that the Mathai’s model has the better fit. Thus, in the frequency-interevent time distribution was used for different limite magnitudes values. Our analysis shows that the probability occurrence of an seismic event in the northern sector of the region is lower than in the southern sector for the same period; in the former the behavior is of Poissonian type. Thus, the region’s northern and southern zones show different behaviors in terms of earthquake occurrence probability.

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Section: Interevent-time Distribution and Tsallis Modelmentioning

confidence: 99%

Characterization and seismic hazard in the Coquimbo Region, Chile: A probabilistic study

Ojeda,

Vega-Jorquera,

Barra

et al. 2023

Preprint

Self Cite

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Characterization of Seismicity and Seismic Hazard in the Coquimbo Region, Chile: A Probabilistic Study

Ojeda,

Vega-Jorquera,

de la Barra

et al. 2024

Pure Appl. Geophys.

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Multimodal Non-Extensive Frequency-Magnitude Distributions and Their Relationship to Multi-Source Seismicity

de la Barra,

Vega-Jorquera,

da Silva

2024

Entropy

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We investigate multimodal seismicity by analyzing it as the result of multiple seismic sources. We examine three case studies: the Redoubt and Spurr regions in Alaska, where volcanic and subduction-related seismicity occur, and the Kii Peninsula in Japan, where shallow and deep earthquakes are clearly separated. To understand this phenomenon, we perform spatial, temporal, and magnitude analyses. Our application of non-extensive statistical mechanics shows that multimodal models provide a significantly better fit than unimodal ones. We identify patterns in the distributions of time between events and distances between events using multimodal Tsallis q-gamma distributions. In addition, we use the multimodal Sotolongo–Costa model to analyze the magnitude distribution, which effectively captures the complex interactions that may explain the observed lack of fractality in multimodal seismicity.

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Statistical Modeling of the Seismic Moments via Mathai Distribution

Cited by 3 publications

References 22 publications

Characterization and seismic hazard in the Coquimbo Region, Chile: A probabilistic study

Characterization and seismic hazard in the Coquimbo Region, Chile: A probabilistic study

Characterization of Seismicity and Seismic Hazard in the Coquimbo Region, Chile: A Probabilistic Study

Multimodal Non-Extensive Frequency-Magnitude Distributions and Their Relationship to Multi-Source Seismicity

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