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Volumn 5, Issue 4, 2011, Pages 2549-2571

Residual analysis methods for space-time point processes with applications to earthquake forecast models in California

Author keywords

Deviance residuals; Pearson residuals; Rescaled residuals; Super thinned residuals; Superposition; Thinned residuals

Indexed keywords


EID: 84865307405     PISSN: 19326157     EISSN: 19417330     Source Type: Journal    
DOI: 10.1214/11-AOAS487     Document Type: Article
Times cited : (35)

References (37)
  • 1
    • 70449534110 scopus 로고    scopus 로고
    • Point process diagnostics based on weighted second-order statistics and their asymptotic properties
    • Adelfio, G. and Schoenberg, F. P. (2009). Point process diagnostics based on weighted second-order statistics and their asymptotic properties. Ann. Inst. Statist. Math. 61 929-948.
    • (2009) Ann. Inst. Statist. Math , vol.61 , pp. 929-948
    • Adelfio, G.1    Schoenberg, F.P.2
  • 3
    • 0034347971 scopus 로고    scopus 로고
    • Non-and semi-parametric estimation of interaction in inhomogeneous point patterns
    • Baddeley, A. J., Møller, J. and Waagepetersen, R. (2000). Non-and semi-parametric estimation of interaction in inhomogeneous point patterns. Stat. Neerl. 54 329-350.
    • (2000) Stat. Neerl , vol.54 , pp. 329-350
    • Baddeley, A.J.1    Møller, J.2    Waagepetersen, R.3
  • 6
    • 0003812478 scopus 로고    scopus 로고
    • 5th ed, W.H. Freeman, New York
    • Bolt, B. (2006). Earthquakes, 5th ed. W.H. Freeman, New York.
    • (2006) Earthquakes
    • Bolt, B.1
  • 8
    • 84870272510 scopus 로고    scopus 로고
    • Evaluation of space-time point process models using super-thinning
    • Clements, R. A., Schoenberg, F. P. and Veen, A. (2010). Evaluation of space-time point process models using super-thinning. UCLA Statistics Preprints 579 1-18.
    • (2010) UCLA Statistics Preprints , vol.579 , pp. 1-18
    • Clements, R.A.1    Schoenberg, F.P.2    Veen, A.3
  • 11
    • 34248673702 scopus 로고    scopus 로고
    • Overview of the working group for the development of Regional Earthquake Likelihood Models (RELM)
    • Field, E. H. (2007). Overview of the working group for the development of Regional Earthquake Likelihood Models (RELM). Seismological Research Letters 78 7-16.
    • (2007) Seismological Research Letters , vol.78 , pp. 7-16
    • Field, E.H.1
  • 12
    • 19744366852 scopus 로고    scopus 로고
    • Real-time forecasts of tomorrow's earthquakes in California
    • Gerstenberger, M. C., Wiemer, S., Jones, L. M. and Reasenberg, P. A. (2005). Real-time forecasts of tomorrow's earthquakes in California. Nature 435 328-331.
    • (2005) Nature , vol.435 , pp. 328-331
    • Gerstenberger, M.C.1    Wiemer, S.2    Jones, L.M.3    Reasenberg, P.A.4
  • 13
    • 74049151068 scopus 로고    scopus 로고
    • On nonparametric variance estimation for second-order statistics of inhomogeneous spatial point processes with a known parametric intensity form
    • Guan, Y. (2009). On nonparametric variance estimation for second-order statistics of inhomogeneous spatial point processes with a known parametric intensity form. J. Amer. Statist. Assoc. 104 1482-1491.
    • (2009) J. Amer. Statist. Assoc , vol.104 , pp. 1482-1491
    • Guan, Y.1
  • 14
  • 15
    • 34248663223 scopus 로고    scopus 로고
    • High-resolution time-independent grid-based forecast M≥5 earthquakes in California
    • Helmstetter, A., Kagan, Y. Y. and Jackson, D. D. (2007). High-resolution time-independent grid-based forecast M≥5 earthquakes in California. Seismological Research Letters 78 78-86.
    • (2007) Seismological Research Letters , vol.78 , pp. 78-86
    • Helmstetter, A.1    Kagan, Y.Y.2    Jackson, D.D.3
  • 17
    • 33645101327 scopus 로고    scopus 로고
    • Earthquake predictability, brick by brick
    • Jordan, T. (2006). Earthquake predictability, brick by brick. Seismological Research Letters 77 3-6.
    • (2006) Seismological Research Letters , vol.77 , pp. 3-6
    • Jordan, T.1
  • 18
    • 34248668723 scopus 로고    scopus 로고
    • A testable five-year forecast of moderate and large earthquakes in southern California based on smoothed seismicity
    • Kagan, Y. Y., Jackson, D. D. and Rong, Y. (2007). A testable five-year forecast of moderate and large earthquakes in southern California based on smoothed seismicity. Seismological Research Letters 78 94-98.
    • (2007) Seismological Research Letters , vol.78 , pp. 94-98
    • Kagan, Y.Y.1    Jackson, D.D.2    Rong, Y.3
  • 19
    • 0018519083 scopus 로고
    • Simulation of nonhomogeneous Poisson processes by thinning
    • Lewis, P. A. W. and Shedler, G. S. (1979). Simulation of nonhomogeneous Poisson processes by thinning. Naval Res. Logist. Quart. 26 403-413.
    • (1979) Naval Res. Logist. Quart , vol.26 , pp. 403-413
    • Lewis, P.A.W.1    Shedler, G.S.2
  • 20
    • 0001125838 scopus 로고
    • Demonstration simplifiée d'un théorème de Knight
    • In Springer, Berlin
    • Meyer, P. (1971). Demonstration simplifiée d'un théorème de Knight. In Séminaire de Probabilités V. Lecture Notes in Math. 191 191-195. Springer, Berlin.
    • (1971) Séminaire de Probabilités V. Lecture Notes in Math , vol.191 , pp. 191-195
    • Meyer, P.1
  • 22
    • 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. Amer. Statist. Assoc. 83 9-27.
    • (1988) J. Amer. Statist. Assoc , vol.83 , pp. 9-27
    • Ogata, Y.1
  • 23
    • 30944459507 scopus 로고    scopus 로고
    • Space-time ETAS models and an improved extension
    • Ogata, Y. and Zhuang, J. (2006). Space-time ETAS models and an improved extension. Tectonophysics 413 13-23.
    • (2006) Tectonophysics , vol.413 , pp. 13-23
    • Ogata, Y.1    Zhuang, J.2
  • 24
    • 84966209651 scopus 로고
    • Integrability of expected increments of point processes and a related random change of scale
    • Papangelou, F. (1972). Integrability of expected increments of point processes and a related random change of scale. Trans. Amer. Math. Soc. 165 483-506.
    • (1972) Trans. Amer. Math. Soc , vol.165 , pp. 483-506
    • Papangelou, F.1
  • 26
    • 0033147514 scopus 로고    scopus 로고
    • Transforming spatial point processes into Poisson processes
    • Schoenberg, F. (1999). Transforming spatial point processes into Poisson processes. Stochastic Process. Appl. 81 155-164.
    • (1999) Stochastic Process. Appl , vol.81 , pp. 155-164
    • Schoenberg, F.1
  • 27
    • 1142289567 scopus 로고    scopus 로고
    • Multidimensional residual analysis of point process models for earthquake occurrences
    • Schoenberg, F. P. (2003). Multidimensional residual analysis of point process models for earthquake occurrences. J. Amer. Statist. Assoc. 98 789-795.
    • (2003) J. Amer. Statist. Assoc , vol.98 , pp. 789-795
    • Schoenberg, F.P.1
  • 31
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • Schwarz, G. (1978). Estimating the dimension of a model. Ann. Statist. 6 461-464.
    • (1978) Ann. Statist , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 32
    • 34248633736 scopus 로고    scopus 로고
    • Implications of geodetic strain rate for future earthquakes, with a five-year forecast of M5 earthquakes in southern California
    • Shen, Z., Jackson, D. D. and Kagan, Y. Y. (2007). Implications of geodetic strain rate for future earthquakes, with a five-year forecast of M5 earthquakes in southern California. Seismological Research Letters 78 116-120.
    • (2007) Seismological Research Letters , vol.78 , pp. 116-120
    • Shen, Z.1    Jackson, D.D.2    Kagan, Y.Y.3
  • 33
    • 0031405579 scopus 로고    scopus 로고
    • Earthquake prediction: The null hypothesis
    • Stark, P. B. (1997). Earthquake prediction: The null hypothesis. Geophysical Journal International 131 495-499.
    • (1997) Geophysical Journal International , vol.131 , pp. 495-499
    • Stark, P.B.1
  • 34
    • 35348868433 scopus 로고    scopus 로고
    • Assessing spatial point process models using weighted K-functions: Analysis of California earthquakes
    • In, (A. Baddeley, P. Gregori, J. Mateu, R. Stoica and D. Stoyan, eds.) Springer, New York
    • Veen, A. and Schoenberg, F. P. (2005). Assessing spatial point process models using weighted K-functions: analysis of California earthquakes. In Case Studies in Spatial Point Process Models (A. Baddeley, P. Gregori, J. Mateu, R. Stoica and D. Stoyan, eds.) 293-306. Springer, New York.
    • (2005) Case Studies in Spatial Point Process Models , pp. 293-306
    • Veen, A.1    Schoenberg, F.P.2
  • 35
    • 70450219415 scopus 로고    scopus 로고
    • On mainshock focal mechanisms and the spatial distribution of aftershocks
    • Wong, K. and Schoenberg, F. P. (2009). On mainshock focal mechanisms and the spatial distribution of aftershocks. Bull. Seismol. Soc. Amer. 99 3402-3412.
    • (2009) Bull. Seismol. Soc. Amer , vol.99 , pp. 3402-3412
    • Wong, K.1    Schoenberg, F.P.2
  • 36
    • 33746216302 scopus 로고    scopus 로고
    • Second-order residual analysis of spatiotemporal point processes and applications in model evaluation
    • Zhuang, J. (2006). Second-order residual analysis of spatiotemporal point processes and applications in model evaluation. J. R. Stat. Soc. Ser. B Stat. Methodol. 68 635-653.
    • (2006) J. R. Stat. Soc. Ser. B Stat. Methodol , vol.68 , pp. 635-653
    • Zhuang, J.1
  • 37
    • 4644316414 scopus 로고    scopus 로고
    • Analyzing earthquake clustering features by using stochastic reconstruction
    • Zhuang, J., Ogata, Y. and Vere-Jones, D. (2004). Analyzing earthquake clustering features by using stochastic reconstruction. Journal of Geophysical Research 109 B05301-17.
    • (2004) Journal of Geophysical Research , vol.109
    • Zhuang, J.1    Ogata, Y.2    Vere-Jones, D.3


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