On non-parametric techniques for area-characteristic seismic hazard parameters

Geophysical Journal International

Volumn 180, Issue 1, 2010, Pages 339-346

  Quintela del Rio A ^a  

^a UNIVERSITY OF A CORUÑA   (Spain)

Author keywords

Earthquake interaction, forecasting, and predictions; Probability distributions; Statistical seismology

Indexed keywords

EARTHQUAKE MAGNITUDE; EARTHQUAKE PREDICTION; ESTIMATION METHOD; PROBABILITY; SEISMIC HAZARD; SEISMOLOGY; STOCHASTICITY;

SPAIN;

EID: 73049093318     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2009.04410.x     Document Type: Article

References (38)

1. Altman N, Leger C. Bandwidth selection for kernel distribution function estimation. J. Stat. Plan. Infer. 1995, 46:195-214.
2. Bowman A, Hall P, Prvan T. Bandwidth selection for the smoothing of distribution functions. Biometrika 1998, 85:799-808.
3. Coles SG. An Introduction to Statistical Modeling of Extreme Values 2001, Springer-Verlag, London
4. De Miguel F. 1-18 Hz Lg attenuation in the Granada Basin (Southern Spain). Geophys. J. Int. 1992, 111:270-280.
5. Embrechts P, Klüppelberg C, Mikosch T. Modelling Extremal Events for Insurance and Finance 1997, Springer, Berlin
6. Epstein B, Lomnitz C. A model for the occurrence of large earthquakes. Nature 1966, 211:954-956.
7. Estévez-Pérez G, Lorenzo-Cimadevila H, Quintela-del-Río A. Non-parametric analysis of the time structure of seismicity in a geographic region. Ann. Geophys.-Italy 2002, 45:497-512.
8. García-Mayordomo J. Caracterización y análisis de la peligrosidad sísmica en el Sureste de España. 2005, PhD thesis, Universidad Complutense, Madrid, Spain
9. Grillenzoni C. Non-parametric smoothing of spatio-temporal point processes. J. Stat. Plan. Infer. 2005, 128(1):61-78.
10. Gumbel EJ. Statistics of Extremes 1958, Columbia Univ. Press, New York
11. Kagan Y. Random stress and earthquake statistics: spatial dependence. Geophys. J. Int. 1990, 102:573-583.
12. Kijko A. Estimation of the maximum earthquake magnitude, mmax. Pure appl. Geophys. 2004, 161:1655-1681.
13. Kijko A, Lasocki S, Graham G. Non-parametric seismic hazard in mines. Pure appl. Geophys. 2001, 158:1655-1675.
14. Knopoff L, Kagan Y. Analysis of the theory of extremes asapplied to earthquake problemas. J. geophys. Res. 1977, 82:5647-5657.
15. Koutsoyiannis D, Baloutsos G. Analysis of a long record of annual maximum rainfall in Athens, Greece, and design rainfall inferences. Nat. Hazards 2000, 22(1):31-51.
16. Lasocki S, Orlecka-Sikora B. Seismic hazard assessment under complex source size distribution of mining-induced seismicity. Tectonophysics 2008, 456:28-37.
17. Loaiciga HA, Leipnik RB. Analysis of extreme hydrologic events with Gumbel distributions: marginal and additive cases. Stoch. Environ. Res. Risk Assess. 1999, 13(4):251-259.
18. Melchers RE. Structural Reliability Analysis and Prediction 1999, John Wiley and Sons, NY
19. Ogata Y. Statistical models for earthquakes occurrences and residual analysis for point processes. J. Am. Statist. Assoc. 1988, 83:9-27.
20. Orlecka-Sikora B. Resampling methods for evaluating the uncertainty of the non-parametric magnitude distribution estimation in the Probabilistic Seismic Hazard Analysis. Tectonophysics 2008, 456:38-51.
21. Parzen E. On estimation of a probability density function and mode. Ann. Math. Stat. 1962, 32:1065-1076.
22. Pisarenko VF, Rodkin MV. Non-parametric methods in studies of the seismic regime. Izvestiya Phys. Solid Earth 2008, 44:1-8.
23. Pisarenko VF, Lyubushin AA, Lysenko VB, Golubieva TV. Statistical estimation of seismic hazard parameters: maximum possible magnitude and related parameters. Bull. seism. Soc. Am. 1996, 86:691-700.
24. Polansky A, Baker E. Multistage plug-in bandwidth selection for kernel distribution function estimates. J. Stat. Comput. Simulation 2000, 65:63-80.
25. Posadas A. Análisis espacio-temporal de series sísmicas. Aplicación a las Béticas Centrales. 1991, PhD thesis, University of Granada, Spain
26. 2008, http://www.R-project.org, R Development Core Team, R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria, ISBN 3-900051-07-0, URL
27. Reiss RD. Non-parametric estimation of smooth distribution functions. Scand. J. Stat. 1981, 9:65-78.
28. Sarda P. Smoothing parameter selection for smooth distribution functions. J. Stat. Plan. Infer. 1993, 35:65-75.
29. Silverman B. Density Estimation for Statistics and Data Analysis 1986, Chapman and Hall
30. Simonoff J. Smoothing Methods in Statistics 1996, Springer, New York
31. Torcal F, Posadas A, Chica M, Serrano I. Application of conditional geostatistical simulation to calculate the probability of occurrence of earthquakes belonging to a seismic series. Geophys. J. Int. 1999, 139:703-725.
32. Udias A, Rice J. Statistical analysis of microearthquakes activity near San Andreas Geophysical Observatory, Hollister, California. Bull. seism. Soc. Am. 1975, 65:809-828.
33. Vere-Jones D. Earthquake prediction-a statistician's view. J. Phys. Earth 1978, 26:129-146.
34. Vere-Jones D, Walden AT, Guttorp P. Statistical methods for the description and display of earthquake catalogues. Statistics in the Environmental and Earth Sciences 1992, 220-244. in, pp, eds, Halsted Press, New York
35. Vidal F. Sismotectónica de la región Béticas-Mar de Alborán. 1986, PhD thesis, University of Granada, Spain
36. Wand MP, Jones MC. Kernel Smoothing 1995, Chapman and Hall, London
37. Zhuang J, Christophersen A, Savage MK, Vere-Jones D, Ogata Y, Jackson DD. Differences between spontaneous and triggered earthquakes: their influences on foreshock probabilities. J. geophys. Res. 2008, 113(B11):B11302. 10.1029/2008JB005579, doi