Confidence intervals for earthquake source parameters

Geophysical Journal International

Volumn 168, Issue 3, 2007, Pages 1227-1234

  Prieto, G A ^a   Thomson, D J ^b   Vernon, F L ^a   Shearer, P M ^a   Parker, R L ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b QUEEN S UNIVERSITY   (Canada)

Author keywords

Confidence interval; Earthquake source parameters; Error; Jackknife; Stress drop

Indexed keywords

CONFIDENCE INTERVAL; EARTHQUAKE EVENT; ERROR ANALYSIS; MEASUREMENT METHOD; SEISMIC MOMENT; SEISMIC SOURCE; SPECTRAL ANALYSIS;

CAJON PASS; CALIFORNIA; NORTH AMERICA; UNITED STATES;

EID: 33847782181     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2006.03257.x     Document Type: Article

References (40)

1. L using seismogram recorded at 2.5-km depth, J. geophys. Res., 100, 24015-24036.
2. Abercrombie, R.E., 1997. Near-Surface attenuation and site effects from comparison of surface and deep borehole recordings, Bull. seism. Soc. Am., 87 (3), 731-744.
3. Abercrombie, R.E. & Rice, J.R., 2005. Can observations of earthquake scaling constrain slip weakening?, Geophys. J. Int., 162, 406-424.
4. Aki, K., 1967. Scaling law of seismic spectrum, J. geophys. Res., 72, 1217-1231.
5. Archuleta, R.J., Cranswick, E., Mueller, C. & Spudich, P., 1982. Source parameters of the 1980 Mammoth Lakes, California, Earthquake sequence, J. geophys. Res., 87 (B6), 4595-4607.
6. Bard, Y., 1974. Nonlinear Parameter Estimation, Academic Press. New York, p. 341.
7. Boatwright, J., 1980. A spectral theory for circular seismic sources: simple estimates of source dimension, dynamic stress drop and radiated energy, Bull. seism. Soc. Am., 70, 1-27.
8. Brune, J.N., 1970. Tectonic stress and seismic shear waves from earthquakes, J. geophys. Res., 75, 4997-5009.
9. Chappellaz, J., Bernola, J.M., Raynaud, D., Korotkevich, Y.S. & Lorius, C., 1990. Ice-core record of atmospheric methane over the past 160000 years, Nature, 345, 127-131.
10. Davison, A.C. & Hinkley, D.V., 1997. Bootstrap Methods and their Application, Cambridge University Press, New York.
11. Efron, B., 1982. The Jackknife, the Bootstrap, and Other Resampling Plans, SIAM, Philadelphia.
12. Fletcher, J., Boatwright, J., Haar, L., Hanks, T. & McGarr, A., 1984. Source parameters for aftershocks of the Oroville California Earthquake, Bull. seism. Soc. Am., 74 (4), 1101-1123.
13. Fox, T., Hinkley, D.V. & Larntz, K., 1980. Jackknifing in Nonlinear regresion, Technometrics, 22, 29-33.
14. Hinkley, D.V., 1977. Jackknife Confidence Limits Using Student t Approximations, Biometrika, 64, 21-28.
15. Ide, S. & Beroza, G.C., 2001. Does apparent stress vary with earthquake size?, Geophys. Res. Lett., 28, 3349-3352.
16. Ide, S., Beroza, G.C., Prejean, S.G. & Ellworth, W.L., 2003. Apparent break in earthquake scaling due to path and site effects on deep borehole recordings, J. geophys. Res., 108 (B5), 2271, doi:.
17. Kanamori, H., Mori, J., Hauksson, E., Heaton, T.H., Hutton, L.K. & Jones, L., 1993. Determination of earthquake energy release and M L using TERRAscope, Bull. seism. Soc. Am., 83, 330-346.
18. Lees, J. & Park, J., 1995. Multiple-taper spectral analysis: A stand-alone C-subroutine, Comput. Geosci., 21 (2), 199-236.
19. Madariaga, R., 1976. Dynamics of an expanding circular fault, Bull. seism. Soc. Am., 66, 639-666.
20. Mayeda, K. & Walter, W.R., 1996. Moment, energy, stress drop, and source spectra of western United States earthquakes from regional coda envelopes, J. geophys. Res., 101, 11195-11208.
21. McGarr, A., 1999. On relating apparent stress to the stress causing earthquake fault slip, J. geophys. Res., 104, 3001-3003.
22. McGuire, J.J., 2004. Estimating Finite Source Properties of Small Earthquake Ruptures, Bull. seism. Soc. Am., 94, 377-393.
23. Miller, R.G., 1974. The jackknife-a review, Biometrika, 61, 1-15.
24. Mori, J., Abercrombie, R.E. & Kanamori, H., 2003. Stress drops and radiated energies of aftershocks of the 1994 Northridge, California, earthquake, J. geophys. Res., 108 (B11), 2545, doi:.
25. Park, J., 1992. Envelope estimation for quasi-periodic geophysical signals in noise: A multitaper approach, in Statistics in the Enviromental and Earth Sciences pp. 189-219, eds Walden, A.T. & Guttorp, P., Edward Arnold, London.
26. Park, J., Lindberg, C., Vernon, F.L., 1987. Multitaper spectral analysis of high-frequency seismigrams, J. geophys. Res., 92 (B12), 12675-12684.
27. Prejean, S.G. & Ellsworth, W.L., 2001. Observations of earthquake source parameters and attenuation at 2 km depth in the Long Valley Caldera, eastern California, Bull. seism. Soc. Am., 91, 165-177.
28. Prieto, G.A., Shearer, P.M., Vernon, F.L. & Kilb, D., 2004. Earthquake source scaling and self-similarity estimation from stacking P and S spectra, J. geophys. Res., 109, B08310, doi:.
29. Prieto, G.A., Parker, R.L., Vernon, F.L., Shearer, P.M. & Thomson, D.J., 2006. Uncertainties in earthquake source spectrum estimation using empirical Green functions in AGU Monograph on Radiated Energy and the Physics of Earthquake Faulting, in press.
30. Quenouille, M., 1949. Approximate tests of correlation in time series, J. R. Stat. Soc., B11, 18-84.
31. Reeds, J., 1978. Jackknifing Maximum-Likelihood Estimates, Ann. Stat, 6 (4), 727-739.
32. Shearer, P.M., Hauksson, E. & Lin, G., 2005. Southern California hypocenter relocation with waveform cross-correlation, Part 2: Results using source-specific station terms and cluster analysis, Bull. seism. Soc. Am., 95, 904-915.
33. Slepian, D., 1978. Prolate spheroidal wave functions, Fourier analysis, and uncertainty. V-the discrete case, Bell Sys. Tech. J., 57, 1371-1430.
34. Taylor, J.R., 1997. An introduction to Error Analysis, 2nd edn. University Science Books, Sausalito, California.
35. Thomson, D.J., 1982. Spectrum estimation and harmonic analysis, Proc. IEEE, 70, 1055-1096.
36. Thomson, D.J. & Chave, A.D., 1991. Jackknife error estimates for spectra, coherences, and transfer functions, in Advances in Spectrum Analysis and Array Processing, Vol. 1, Chapter 2, pp. 58-113, ed. Haykin, S., Prentice Hall, Englewood Cliffs, New Jersey.
37. Tukey, J.W., 1958. Bias and Confidence in not-quite large samples, Ann. Math. Stat, 29, 614.
38. Tukey, J.W., 1960. Conclusions vs Decisions, Technometrics, 2 (4), 423-433.
39. Vernon, F.L., 1989. Analysis of data recorded on the ANZA seismic network, in PhD thesis, ed. Harris, B., Spectral Analysis of Time Series, University of California, San Diego.
40. Wu, C.F.J., 1986. Jackknife, Bootstrap and other resampling methods in regression analysis (with Discussion), Ann. Stat., 14, 1261-1350.