Interevent time distribution in seismicity: A theoretical approach

Pure and Applied Geophysics

Volumn 162, Issue 6-7, 2005, Pages 1135-1150

  Molchan, G ^a,b  

^a INSTITUTE OF EARTHQUAKE PREDICTION THEORY AND MATHEMATICAL GEOPHYSICS   (Russian Federation)

^b ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

Point processes; Self similarity; Statistical seismology

Indexed keywords

SEISMICITY;

EID: 14944380325     PISSN: 00334553     EISSN: 14209136     Source Type: Journal    
DOI: 10.1007/s00024-004-2664-5     Document Type: Article

References (13)

1. Bak, P., Christensen, K., Danon, L., and Scanlon, T. (2002), Unified Scaling Law for Earthquakes, Phys. Rev. Lett. 88, 178,501.
2. Corral, A. (2003a), Local Distributions and Rate Fluctuations in a Unified Scaling Law for Earthquakes, Phys. Rev. E 68, 035102(R).
3. Corral, A. (2003 b), Time-increasing Hazard and Increasing Time until the Next Earthquake, ArXiv: Condmat/0310407.
4. Corral, A. (2004), Universal Local Versus Unified Global Scaling Laws in the Statistics of seismicity, ArXiv: Cond-mat/0402555.
5. Daley, D. J. and Vere-Jones, D. An Introduction to the Theory of the Point Processes. Vol.1: Elementary Theory and Methods, 2-nd ed. (Springer, New-York, 2003).
6. Feller, W. An Introduction to Probability Theory and Its Applications. Vol. II. (John Wiley and Sons, Inc., New York 1966).
7. Hawkes, A. G., and Adamopoulos, L. (1973), Cluster Models for Earthquakes - Regional Comparisons, Bull. Int. Stat. Inst. 45: 3.
8. Kagan, Y. (1991), Likelihood Analysis of Earthquake Catalogues, Geophys. J. Int. 106, 135-148.
9. Molchan, G., Kronrod, T., Dmitrieva, O., and Nekrasova, A. (1996), Seismic Risk Oriented Multiscale Seismicity Model: Italy, Comput. Seismol. 28 (in Russian).
10. Ogata, Y. (1986), Statistical Models for Earthquake Occurrences and Residual Analysis for Point Processes, Math. Seismol. 1, 228-281, Inst. Statist. Math.
11. Saichev, A. and Sornette, D. (2004), Anomalous Power-law Distribution of Total lifetimes of Aftershock Sequences, ArXiv: Physics/0404019.
12. Utsu, T., Ogata, Y., and Matsu'ura, R. S. (1994), The Centenary of the Omori Formula for a Decay Law of Aftershock Activity, J. Phys. Earth 43.
13. Vere-Jones, D. (1970), Stochastic models for earthquake occurrence, J. Roy. Statist. Soc. B32.