메뉴 건너뛰기




Volumn 65, Issue 1, 2013, Pages 443-459

Bootstrap determination of the reliability of b-values: An assessment of statistical estimators with synthetic magnitude series

Author keywords

b values; Bootstrap; Earthquake series; Power law

Indexed keywords

BOOTSTRAPPING; EARTHQUAKE MAGNITUDE; MAXIMUM LIKELIHOOD ANALYSIS; MONTE CARLO ANALYSIS; POWER LAW; STATISTICAL ANALYSIS;

EID: 84870840444     PISSN: 0921030X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11069-012-0376-1     Document Type: Article
Times cited : (16)

References (52)
  • 1
    • 56349115008 scopus 로고    scopus 로고
    • On the failure of the bootstrap for matching estimators
    • Abadie A, Imbens GW (2008) On the failure of the bootstrap for matching estimators. Econometrica 76: 1537-1557.
    • (2008) Econometrica , vol.76 , pp. 1537-1557
    • Abadie, A.1    Imbens, G.W.2
  • 2
    • 0000508899 scopus 로고
    • Maximum likelihood estimate of b in the formula log(N) = a - bM and its confidence limits
    • Aki K (1965) Maximum likelihood estimate of b in the formula log(N) = a - bM and its confidence limits. Bull Earthq Res Inst Tokyo Univ 43: 237-239.
    • (1965) Bull Earthq Res Inst Tokyo Univ , vol.43 , pp. 237-239
    • Aki, K.1
  • 3
    • 2442705910 scopus 로고    scopus 로고
    • Brittle-ductile transition and associated seismicity: experimental and numerical studies and relationship with the b value
    • doi:10.1029/2001JB000680
    • Amitrano D (2003) Brittle-ductile transition and associated seismicity: experimental and numerical studies and relationship with the b value. J Geophys Res 108(B1): 2044. doi: 10. 1029/2001JB000680.
    • (2003) J Geophys Res , vol.108 , Issue.B1 , pp. 2044
    • Amitrano, D.1
  • 4
    • 0031464486 scopus 로고    scopus 로고
    • Spatial and temporal variation of seismicity in the horn of Africa from 1960 to 1993
    • Ayele A, Kulhánek O (1997) Spatial and temporal variation of seismicity in the horn of Africa from 1960 to 1993. Geophys J Int 130: 805-810.
    • (1997) Geophys J Int , vol.130 , pp. 805-810
    • Ayele, A.1    Kulhánek, O.2
  • 5
    • 0002636956 scopus 로고
    • Maximum likelihood estimation of b values for magnitude grouped data
    • Bender B (1983) Maximum likelihood estimation of b values for magnitude grouped data. Bull Seismol Soc Am 73: 831-851.
    • (1983) Bull Seismol Soc Am , vol.73 , pp. 831-851
    • Bender, B.1
  • 6
    • 0036291958 scopus 로고    scopus 로고
    • Earthquake hazard assessment in the oran region (Northwest Algeria)
    • Bouhadad Y, Laouami N (2002) Earthquake hazard assessment in the oran region (Northwest Algeria). Nat Hazards 26: 227-243.
    • (2002) Nat Hazards , vol.26 , pp. 227-243
    • Bouhadad, Y.1    Laouami, N.2
  • 7
    • 33745948590 scopus 로고    scopus 로고
    • Regression problems for magnitudes
    • doi:10.1111/j.1365-246X.2006.02955.x
    • Castellaro S, Mulargia F, Kagan YY (2006) Regression problems for magnitudes. Geophys J Int 165: 913-930. doi: 10. 1111/j. 1365-246X. 2006. 02955. x.
    • (2006) Geophys J Int , vol.165 , pp. 913-930
    • Castellaro, S.1    Mulargia, F.2    Kagan, Y.Y.3
  • 9
    • 0002004376 scopus 로고
    • Six questions raised by the bootstrap
    • R. LePage and L. Billard (Eds.), New York: Wiley
    • Efron B (1992) Six questions raised by the bootstrap. In: LePage R, Billard L (eds) Exploring the limits of bootstrap. Wiley, New York.
    • (1992) Exploring the Limits of Bootstrap. , pp. 426
    • Efron, B.1
  • 10
    • 0003242435 scopus 로고
    • The jacknife, the bootstrap, and other resampling plans, CBMS monograph #38
    • Philadelphia
    • Efron B (1982) The jacknife, the bootstrap, and other resampling plans, CBMS monograph #38. Society for Industrial and Applied Mathematics, Philadelphia.
    • (1982) Society For Industrial and Applied Mathematics
    • Efron, B.1
  • 11
    • 33645988241 scopus 로고    scopus 로고
    • Wavelet-based multiscale resolution analysis of real and simulated time-series of earthquakes
    • doi:10.1111/j.1365-246X.2005.02810.x
    • Enescu B, Kiyoshi I, Struzik ZR (2006) Wavelet-based multiscale resolution analysis of real and simulated time-series of earthquakes. Geophys J Int 163: 63-74. doi: 10. 1111/j. 1365-246X. 2005. 02810. x.
    • (2006) Geophys J Int , vol.163 , pp. 63-74
    • Enescu, B.1    Kiyoshi, I.2    Struzik, Z.R.3
  • 14
    • 0034745081 scopus 로고    scopus 로고
    • A systematic test of the hypothesis that the b-value varies with depth in California
    • Gerstenberger M, Wiemer S, Gardini D (2001) A systematic test of the hypothesis that the b-value varies with depth in California. Geophys Res Lett 28: 57-60.
    • (2001) Geophys Res Lett , vol.28 , pp. 57-60
    • Gerstenberger, M.1    Wiemer, S.2    Gardini, D.3
  • 15
    • 10044260009 scopus 로고    scopus 로고
    • Problems with fitting to the power-law distribution
    • Goldstein ML, Morris SA, Yen GG (2004) Problems with fitting to the power-law distribution. Eur Phys J B 41: 255-258.
    • (2004) Eur Phys J B , vol.41 , pp. 255-258
    • Goldstein, M.L.1    Morris, S.A.2    Yen, G.G.3
  • 16
    • 0000501207 scopus 로고
    • Frequency of earthquakes in California
    • Gutenberg R, Richter CF (1944) Frequency of earthquakes in California. Bull Seism Soc Am 34: 185-188.
    • (1944) Bull Seism Soc Am , vol.34 , pp. 185-188
    • Gutenberg, R.1    Richter, C.F.2
  • 17
    • 0032710905 scopus 로고    scopus 로고
    • The universality of the frequency-magnitude relationship
    • Kagan Y (1999) The universality of the frequency-magnitude relationship. Pure Appl Geophys 155: 537-574.
    • (1999) Pure Appl Geophys. , vol.155 , pp. 537-574
    • Kagan, Y.1
  • 18
    • 0034010439 scopus 로고    scopus 로고
    • Apparent breaks in scaling in the earthquake cumulative frequency-magnitude distribution: fact or artifact?
    • Main I (2000) Apparent breaks in scaling in the earthquake cumulative frequency-magnitude distribution: fact or artifact? Bull Seismol Soc Am 90: 86-97.
    • (2000) Bull Seismol Soc Am , vol.90 , pp. 86-97
    • Main, I.1
  • 19
    • 2942639755 scopus 로고    scopus 로고
    • A review and new insights on the estimation of the b-value and its uncertainty
    • Marzocchi W, Sandri L (2003) A review and new insights on the estimation of the b-value and its uncertainty. Ann Geophys 46: 1271-1282.
    • (2003) Ann Geophys , vol.46 , pp. 1271-1282
    • Marzocchi, W.1    Sandri, L.2
  • 22
    • 84870818911 scopus 로고    scopus 로고
    • Mapping of the b-value anomalies in Colfiorito tectonic zone (Central Italy) and beneath Mt. Etna volcano (Sicily, Italy)
    • Murru M, Console R, Lisi A, Montuori C (2004) Mapping of the b-value anomalies in Colfiorito tectonic zone (Central Italy) and beneath Mt. Etna volcano (Sicily, Italy). AGU fall meeting, S13A. http://www. agu. org/meetings/fm04.
    • (2004) AGU Fall Meeting, S13A
    • Murru, M.1    Console, R.2    Lisi, A.3    Montuori, C.4
  • 23
    • 24744469980 scopus 로고    scopus 로고
    • Power laws, Pareto distributions and Zipfs law
    • Newman MEJ (2005) Power laws, Pareto distributions and Zipfs law. Contemp Phys 43: 323-351.
    • (2005) Contemp Phys , vol.43 , pp. 323-351
    • Newman, M.E.J.1
  • 24
    • 23844470152 scopus 로고    scopus 로고
    • Spatial and temporal b-value anomalies preceding the devastating off coast of NW Sumatra earthquake of December 26, 2004
    • doi:10.1029/2005GL022679
    • Nuannin P, Kulhánek O, Persson L (2005) Spatial and temporal b-value anomalies preceding the devastating off coast of NW Sumatra earthquake of December 26, 2004. Geophys Res Lett 32: L11307. doi: 10. 1029/2005GL022679.
    • (2005) Geophys Res Lett , vol.32
    • Nuannin, P.1    Kulhánek, O.2    Persson, L.3
  • 26
    • 0012346731 scopus 로고
    • Statistical models for earthquake occurrences and residual analysis for point processes
    • Ogata Y (1988) Statistical models for earthquake occurrences and residual analysis for point processes. J Am Stat As 83: 9-27.
    • (1988) J Am Stat As , vol.83 , pp. 9-27
    • Ogata, Y.1
  • 27
    • 0029509063 scopus 로고
    • Frequency-moment distribution of deep earthquake: implication for the seismogenic zone at the bottom of slabs
    • Okal E, Kirby SH (1995) Frequency-moment distribution of deep earthquake: implication for the seismogenic zone at the bottom of slabs. Phys Earth Planet Inter 92: 169-187.
    • (1995) Phys Earth Planet Inter , vol.92 , pp. 169-187
    • Okal, E.1    Kirby, S.H.2
  • 29
    • 77949535906 scopus 로고    scopus 로고
    • New tool for the spatio-temporal variation analysis of seismic parameters
    • Papadopoulos GA, Baskoutas I (2009) New tool for the spatio-temporal variation analysis of seismic parameters. Nat Hazards Earth Syst Sci 9: 859-864.
    • (2009) Nat Hazards Earth Syst Sci , vol.9 , pp. 859-864
    • Papadopoulos, G.A.1    Baskoutas, I.2
  • 30
    • 84870812082 scopus 로고    scopus 로고
    • Comment on the paper earthquake hazard assessment in the oran region (Northwest Algeria) by Y. Bouhadad and N. Laouami
    • Peléez Montilla JA, Hamdache M (2004) Comment on the paper Earthquake Hazard Assessment in the Oran Region (Northwest Algeria) by Y. Bouhadad and N. Laouami. Nat Hazards 32: 155-159.
    • (2004) Nat Hazards , vol.32 , pp. 155-159
    • Peléez, M.J.A.1    Hamdache, M.2
  • 31
    • 0001621903 scopus 로고
    • The frequency-magnitude relation of microfracturing in rock and its relation to earthquakes
    • Scholz CH (1968) The frequency-magnitude relation of microfracturing in rock and its relation to earthquakes. Bull Seismol Soc Am 58: 399-415.
    • (1968) Bull Seismol Soc Am , vol.58 , pp. 399-415
    • Scholz, C.H.1
  • 33
    • 27744497966 scopus 로고    scopus 로고
    • Variations in earthquake-size distribution across different stress regimes
    • Schorlemmer D, Wiemer S, Wyss M (2005) Variations in earthquake-size distribution across different stress regimes. Nature 437(22): 539-542.
    • (2005) Nature , vol.437 , Issue.22 , pp. 539-542
    • Schorlemmer, D.1    Wiemer, S.2    Wyss, M.3
  • 34
    • 0344961735 scopus 로고    scopus 로고
    • Stability and significance tests for b-value anomalies: example from the Tyrrhenian Sea
    • doi:10.1029/2003GL017335
    • Schorlemmer D, Neri G, Wiemer S, Mostaccio A (2003) Stability and significance tests for b-value anomalies: example from the Tyrrhenian Sea. Geophys Res Lett 30(16): 1835. doi: 10. 1029/2003GL017335.
    • (2003) Geophys Res Lett , vol.30 , Issue.16 , pp. 1835
    • Schorlemmer, D.1    Neri, G.2    Wiemer, S.3    Mostaccio, A.4
  • 35
    • 26844490406 scopus 로고    scopus 로고
    • Constraints on the size of the smallest triggering earthquake from the ETAS Model, Baths law, and observed aftershock series
    • doi:10.1029/2004JB003535
    • Sornette D, Werner MJ (2005) Constraints on the size of the smallest triggering earthquake from the ETAS model, Baths law, and observed aftershock series. J Geophys Res 110(B08): 304. doi: 10. 1029/2004JB003535.
    • (2005) J Geophys Res , vol.110 , Issue.B08 , pp. 304
    • Sornette, D.1    Werner, M.J.2
  • 36
    • 77950350426 scopus 로고    scopus 로고
    • Time-clustering behavior in the sequence of the aftershocks of the Al-Hoceima (Morocco) 24 February 2004 earthquake
    • Telesca L, Rouai M, Cherkaoui TE (2009) Time-clustering behavior in the sequence of the aftershocks of the Al-Hoceima (Morocco) 24 February 2004 earthquake. Nat Hazards Earth Syst Sci 9: 2063-2066.
    • (2009) Nat Hazards Earth Syst Sci , vol.9 , pp. 2063-2066
    • Telesca, L.1    Rouai, M.2    Cherkaoui, T.E.3
  • 37
    • 0242282307 scopus 로고
    • Confidence intervals of b-values for grouped magnitudes
    • Tinti S, Mulargia F (1987) Confidence intervals of b-values for grouped magnitudes. Bull Seismol Soc Am 77: 2125-2134.
    • (1987) Bull Seismol Soc Am , vol.77 , pp. 2125-2134
    • Tinti, S.1    Mulargia, F.2
  • 38
    • 0030687993 scopus 로고    scopus 로고
    • Frequency of occurrence of moderate to great earthquakes in intracontinental regions: implications for change in stress, earthquake prediction, and hazard assessment
    • Triep EG, Sykes LR (1997) Frequency of occurrence of moderate to great earthquakes in intracontinental regions: implications for change in stress, earthquake prediction, and hazard assessment. J Geophys Res 102: 9923-9948.
    • (1997) J Geophys Res , vol.102 , pp. 9923-9948
    • Triep, E.G.1    Sykes, L.R.2
  • 39
    • 0000978301 scopus 로고
    • Statistical study on the occurence of aftershocks
    • Utsu T (1961) Statistical study on the occurence of aftershocks. Geophys Mag 30: 521-605.
    • (1961) Geophys Mag , vol.30 , pp. 521-605
    • Utsu, T.1
  • 40
    • 0002539589 scopus 로고
    • A method for determining the value of b in a formula log n = a - bM showing the magnitude-frequency relation for earthquakes
    • Utsu T (1965) A method for determining the value of b in a formula log n = a - bM showing the magnitude-frequency relation for earthquakes. Geophys Bull Hokkaido Univ 13: 99-103.
    • (1965) Geophys Bull Hokkaido Univ , vol.13 , pp. 99-103
    • Utsu, T.1
  • 42
    • 0033754570 scopus 로고    scopus 로고
    • Minimum magnitude of completeness in earthquake catalogs: examples from Alaska, the Western United States and Japan
    • Wiemer S, Wyss M (2000) Minimum magnitude of completeness in earthquake catalogs: examples from Alaska, the Western United States and Japan. Bull Seismol Soc Am 90: 859-869.
    • (2000) Bull Seismol Soc Am , vol.90 , pp. 859-869
    • Wiemer, S.1    Wyss, M.2
  • 43
    • 0030175295 scopus 로고    scopus 로고
    • Mapping the b-value anomaly at 100 km depth in the Alaska and New Zealand subduction zones
    • Wiemer S, Benoit J (1996) Mapping the b-value anomaly at 100 km depth in the Alaska and New Zealand subduction zones. Geophys Res Lett 23: 1557-1560.
    • (1996) Geophys Res Lett , vol.23 , pp. 1557-1560
    • Wiemer, S.1    Benoit, J.2
  • 44
    • 0030746073 scopus 로고    scopus 로고
    • Variations in frequency-magnitude distribution with depth in two volcanic areas: Mount St. Helens, Washington, and Mt. Spurr, Alaska
    • Wiemer S, McNutt S (1997) Variations in frequency-magnitude distribution with depth in two volcanic areas: Mount St. Helens, Washington, and Mt. Spurr, Alaska. Geophys Res Lett 24: 189-192.
    • (1997) Geophys Res Lett , vol.24 , pp. 189-192
    • Wiemer, S.1    McNutt, S.2
  • 45
    • 0031712699 scopus 로고    scopus 로고
    • Temporal and three-dimensional spatial analyses of the frequency-magnitude distribution near Long Valley Caldera, California
    • Wiemer S, McNutt SR, Wyss M (1998) Temporal and three-dimensional spatial analyses of the frequency-magnitude distribution near Long Valley Caldera, California. Geophys J Int 134: 409-421.
    • (1998) Geophys J Int , vol.134 , pp. 409-421
    • Wiemer, S.1    McNutt, S.R.2    Wyss, M.3
  • 46
    • 84984435176 scopus 로고
    • Towards a physical understanding of the earthquake frequency distribution
    • Wyss M (1973) Towards a physical understanding of the earthquake frequency distribution. Geophys J R Astr Soc 31: 341-359.
    • (1973) Geophys J R Astr Soc , vol.31 , pp. 341-359
    • Wyss, M.1
  • 47
    • 0023691790 scopus 로고
    • Precursory quiescence before the August 1982 Stone Canyon, San Andrea Fault, earthquakes
    • Wyss M, Habermann RE (1988) Precursory quiescence before the August 1982 Stone Canyon, San Andrea Fault, earthquakes. Pure Appl Geophys 126: 333-356.
    • (1988) Pure Appl Geophys , vol.126 , pp. 333-356
    • Wyss, M.1    Habermann, R.E.2
  • 48
    • 0031422830 scopus 로고    scopus 로고
    • Mapping active magma chambers by b values beneath the Off-Ito volcano, Japan
    • Wyss M, Shimazaki K, Wiemer S (1997) Mapping active magma chambers by b values beneath the Off-Ito volcano, Japan. J Geophys Res 102: 20413-20422.
    • (1997) J Geophys Res , vol.102 , pp. 20413-20422
    • Wyss, M.1    Shimazaki, K.2    Wiemer, S.3
  • 49
    • 0035307152 scopus 로고    scopus 로고
    • Anomalously high b-values in the South Flank of Kilauea volcano, Hawaii: evidence for the distribution of magma below Kilauea's East rift zone
    • Wyss M, Klein F, Nagamine K, Wiemer S (2001) Anomalously high b-values in the South Flank of Kilauea volcano, Hawaii: evidence for the distribution of magma below Kilauea's East rift zone. J Volcanol Geotherm Res 106: 23-37.
    • (2001) J Volcanol Geotherm Res , vol.106 , pp. 23-37
    • Wyss, M.1    Klein, F.2    Nagamine, K.3    Wiemer, S.4
  • 50
    • 84972538191 scopus 로고
    • Bootstrap: more than a stab in the dark?
    • Young A (1994) Bootstrap: more than a stab in the dark? Stat Sci 9: 382-395.
    • (1994) Stat Sci , vol.9 , pp. 382-395
    • Young, A.1
  • 52
    • 0036291705 scopus 로고    scopus 로고
    • A systematic test on precursory seismic quiescence in Armenia
    • Zöller G, Hainzl S, Kurths J, Zschau J (2002) A systematic test on precursory seismic quiescence in Armenia. Nat Hazards 26: 245-263.
    • (2002) Nat Hazards , vol.26 , pp. 245-263
    • Zöller, G.1    Hainzl, S.2    Kurths, J.3    Zschau, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.