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 |
| 巻 | 388 |
| 発行部数 | 4 |
| DOI | |
| 出版物ステータス | Published - 2009 2 15 |
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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
}
TY - JOUR
T1 - The Weibull-log Weibull distribution for interoccurrence times of earthquakes
AU - Hasumi, Tomohiro
AU - Akimoto, Takuma
AU - Aizawa, Yoji
PY - 2009/2/15
Y1 - 2009/2/15
N2 - 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.
AB - 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.
KW - Interoccurrence time
KW - Log-Weibull distribution
KW - Seismicity
KW - Weibull distribution
KW - Weibull-log Weibull transition
UR - http://www.scopus.com/inward/record.url?scp=57349148711&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=57349148711&partnerID=8YFLogxK
U2 - 10.1016/j.physa.2008.10.023
DO - 10.1016/j.physa.2008.10.023
M3 - Article
AN - SCOPUS:57349148711
VL - 388
SP - 491
EP - 498
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
SN - 0378-4371
IS - 4
ER -