The Weibull-log Weibull distribution for interoccurrence times of earthquakes

Tomohiro Hasumi, Takuma Akimoto, Yoji Aizawa

研究成果: Article

29 引用 (Scopus)

抄録

By analyzing the Japan Meteorological Agency (JMA) seismic catalog for different tectonic settings, we have found that the probability distributions of time intervals between successive earthquakes-interoccurrence times-can be described by the superposition of the Weibull distribution and the log-Weibull distribution. In particular, the distribution of large earthquakes obeys the Weibull distribution with the exponent α1 < 1, indicating the fact that the sequence of large earthquakes is not a Poisson process. It is found that the ratio of the Weibull distribution to the probability distribution of the interoccurrence time gradually increases with increase in the threshold of magnitude. Our results infer that Weibull statistics and log-Weibull statistics coexist in the interoccurrence time statistics, and that the change of the distribution is considered as the change of the dominant distribution. In this case, the dominant distribution changes from the log-Weibull distribution to the Weibull distribution, allowing us to reinforce the view that the interoccurrence time exhibits the transition from the Weibull regime to the log-Weibull regime.

元の言語English
ページ(範囲)491-498
ページ数8
ジャーナルPhysica A: Statistical Mechanics and its Applications
388
発行部数4
DOI
出版物ステータスPublished - 2009 2 15

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Weibull Distribution
Weibull
Earthquake
earthquakes
Statistics
Probability Distribution
statistics
Poisson process
Japan
Superposition
Exponent
poisson process
Interval
catalogs
tectonics
exponents
intervals

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistics and Probability

これを引用

The Weibull-log Weibull distribution for interoccurrence times of earthquakes. / Hasumi, Tomohiro; Akimoto, Takuma; Aizawa, Yoji.

:: Physica A: Statistical Mechanics and its Applications, 巻 388, 番号 4, 15.02.2009, p. 491-498.

研究成果: Article

Hasumi, Tomohiro ; Akimoto, Takuma ; Aizawa, Yoji. / The Weibull-log Weibull distribution for interoccurrence times of earthquakes. :: Physica A: Statistical Mechanics and its Applications. 2009 ; 巻 388, 番号 4. pp. 491-498.
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