메뉴 건너뛰기




Volumn 83, Issue 401, 1988, Pages 9-27

Statistical models for earthquake occurrences and residual analysis for point processes

Author keywords

Akaike information criterion; Conditional intensity; Epidemic type models; Likelihood; Marked point process; Seismic quiescence; Trigger models

Indexed keywords


EID: 0012346731     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1988.10478560     Document Type: Article
Times cited : (1683)

References (57)
  • 1
    • 0017519182 scopus 로고
    • Tectonic Implications of the Large Shioya–Oki Earthquakes of 1938
    • Abe, K. (1977), “Tectonic Implications of the Large Shioya–Oki Earthquakes of 1938,” Tectonophysics, 41, 269–289.
    • (1977) Tectonophysics , vol.41 , pp. 269-289
    • Abe, K.1
  • 2
    • 0000760737 scopus 로고
    • Size of Great Earthquakes of 1837–1974 Inferred From Tsunami Data
    • —— (1979), “Size of Great Earthquakes of 1837–1974 Inferred From Tsunami Data,” Journal of Geophysical Research, 84, 1561–1565.
    • (1979) Journal of Geophysical Research , vol.84 , pp. 1561-1565
    • Abe, K.1
  • 3
    • 0016355478 scopus 로고
    • A New Look at the Statistical Model Identification
    • Akaike, H. (1974), “A New Look at the Statistical Model Identification,” IEEE Transactions on Automatic Control, AC-19, 716–723.
    • (1974) IEEE Transactions on Automatic Control , vol.AC-19 , pp. 716-723
    • Akaike, H.1
  • 4
    • 0002909927 scopus 로고
    • On Entropy Maximization Principle
    • P. R. Krishnaiah, Amsterdam: North-Holland
    • —— (1977), “On Entropy Maximization Principle,” in Application of Statistics, ed. P. R. Krishnaiah, Amsterdam: North-Holland, pp. 2741.
    • (1977) Application of Statistics , pp. 2741
    • Akaike, H.1
  • 7
    • 0019703255 scopus 로고
    • Likelihood and Nearest Neighbor Distance Properties of Multidimensional Poisson Cluster Processes
    • Baudin, M. (1981), “Likelihood and Nearest Neighbor Distance Properties of Multidimensional Poisson Cluster Processes,” Journal of Applied Probability, 18, 879–888.
    • (1981) Journal of Applied Probability , vol.18 , pp. 879-888
    • Baudin, M.1
  • 8
    • 0001609210 scopus 로고
    • Comment on “Likelihood Analysis of Point Processes and Its Applications to Seismological Data
    • by Y. Ogata, Book 3
    • Berman, M. (1983), Comment on “Likelihood Analysis of Point Processes and Its Applications to Seismological Data,” by Y. Ogata, Bulletin of the International Statistical Institute, 50, Book 3, 412–418.
    • (1983) Bulletin of the International Statistical Institute , vol.50 , pp. 412-418
    • Berman, M.1
  • 10
    • 0000387235 scopus 로고
    • A Rapidly Convergent Method for Minimization
    • Fletcher, R., and Powell, M. J. D. (1963), “A Rapidly Convergent Method for Minimization,” Computer Journal, 6, 163–168.
    • (1963) Computer Journal , vol.6 , pp. 163-168
    • Fletcher, R.1    Powell, M.J.D.2
  • 13
    • 0000101298 scopus 로고
    • Background Seismicity Rates and Precursory Quiescence: Imperial Valley, California
    • Habermann, R. E., and Wyss, M. (1984), “Background Seismicity Rates and Precursory Quiescence: Imperial Valley, California,” Bulletin of the Seismological Society of America, 74, 1743–1756.
    • (1984) Bulletin of the Seismological Society of America , vol.74 , pp. 1743-1756
    • Habermann, R.E.1    Wyss, M.2
  • 14
    • 0002920216 scopus 로고
    • Point Spectra of Some Mutually Exciting Point Processes
    • Ser. B
    • Hawkes, A. G. (1971), “Point Spectra of Some Mutually Exciting Point Processes,” Journal of the Royal Statistical Society, Ser. B, 33, 438–443.
    • (1971) Journal of the Royal Statistical Society , vol.33 , pp. 438-443
    • Hawkes, A.G.1
  • 16
    • 0001446567 scopus 로고
    • A Cluster Process Representation of a Self-Exciting Process
    • Hawkes, A. G., and Oakes, D. A. (1974), “A Cluster Process Representation of a Self-Exciting Process,” Journal of Applied Probability, 11, 493–503.
    • (1974) Journal of Applied Probability , vol.11 , pp. 493-503
    • Hawkes, A.G.1    Oakes, D.A.2
  • 17
    • 0344338411 scopus 로고
    • Aftershocks and Periodicity in Earthquakes
    • Jeffreys, H. (1938), “Aftershocks and Periodicity in Earthquakes,” Gerland’s Beitrage für Geophysik, 53, 111–139.
    • (1938) Gerland’s Beitrage für Geophysik , vol.53 , pp. 111-139
    • Jeffreys, H.1
  • 18
    • 0001717564 scopus 로고
    • Seismological Evidence for a Lithospheric Normal Faulting—The Sanriku Earthquake of 1933
    • Kanamori, H. (1971), “Seismological Evidence for a Lithospheric Normal Faulting—The Sanriku Earthquake of 1933,” Physics of the Earth and Planetary Interiors, 4, 289–300.
    • (1971) Physics of the Earth and Planetary Interiors , vol.4 , pp. 289-300
    • Kanamori, H.1
  • 20
    • 0019366047 scopus 로고
    • The Nature of Seismicity Patterns Before Large Earthquakes
    • (Maurice Ewing Series, 4), eds. D. W. Simpson and P. G. Richards, Washington, DC: American Geophysical Union
    • —— (1981), “The Nature of Seismicity Patterns Before Large Earthquakes,” in Earthquake Prediction (Maurice Ewing Series, 4), eds. D. W. Simpson and P. G. Richards, Washington, DC: American Geophysical Union, pp. 1–19.
    • (1981) Earthquake Prediction , pp. 1-19
    • Kanamori, H.1
  • 21
    • 0001697963 scopus 로고
    • Stochastic Processes and Population Growth
    • Ser. B
    • Kendall, D. G. (1949), “Stochastic Processes and Population Growth,” Journal of the Royal Statistical Society, Ser. B, 11, 230–264.
    • (1949) Journal of the Royal Statistical Society , vol.11 , pp. 230-264
    • Kendall, D.G.1
  • 27
    • 0001923991 scopus 로고
    • Precursory Quiescence and Recovery of Aftershock Activities Before Some Large Aftershocks
    • Matsu’ura, R. S. (1986), “Precursory Quiescence and Recovery of Aftershock Activities Before Some Large Aftershocks,” Bulletin of the Earthquake Research Institute, 61, 1–65.
    • (1986) Bulletin of the Earthquake Research Institute , vol.61 , pp. 1-65
    • Matsu’Ura, R.S.1
  • 28
    • 0000859587 scopus 로고
    • Some Discussions on Aftershocks, Foreshocks, and Earthquake Swarms—The Fracture of a Semi-infinite Body Caused by an Inner Stress Origin and Its Relation to the Earthquake Phenomena
    • Mogi, K. (1963), “Some Discussions on Aftershocks, Foreshocks, and Earthquake Swarms—The Fracture of a Semi-infinite Body Caused by an Inner Stress Origin and Its Relation to the Earthquake Phenomena,” Bulletin of the Earthquake Research Institute, 41, 615–658.
    • (1963) Bulletin of the Earthquake Research Institute , vol.41 , pp. 615-658
    • Mogi, K.1
  • 29
    • 0000742137 scopus 로고
    • Source Locations of Elastic Shocks in the Fracturing Process in Rocks (1)
    • —— (1968), “Source Locations of Elastic Shocks in the Fracturing Process in Rocks (1),” Bulletin of the Earthquake Research Institute, 46, 1103–1125.
    • (1968) Bulletin of the Earthquake Research Institute , vol.46 , pp. 1103-1125
    • Mogi, K.1
  • 30
    • 0005152061 scopus 로고
    • Relationship Between Shallow and Deep Seismicity in the Western Pacific Region
    • —— (1973), “Relationship Between Shallow and Deep Seismicity in the Western Pacific Region,” Techtonophysics, 17, 1–22.
    • (1973) Techtonophysics , vol.17 , pp. 1-22
    • Mogi, K.1
  • 32
    • 0019396823 scopus 로고
    • On Lewis Simulation Method for Point Processes
    • Ogata, Y. (1981), “On Lewis’ Simulation Method for Point Processes,” IEEE Transactions on Information Theory, IT-27, 23–31.
    • (1981) IEEE Transactions on Information Theory , vol.IT-27 , pp. 23-31
    • Ogata, Y.1
  • 33
    • 0020969023 scopus 로고
    • Estimation of the Parameters in the Modified Omori Formula for Aftershock Frequencies by the Maximum Likelihood Procedure
    • —— (1983), “Estimation of the Parameters in the Modified Omori Formula for Aftershock Frequencies by the Maximum Likelihood Procedure,” Journal of Physics of the Earth, 31, 115–124.
    • (1983) Journal of Physics of the Earth , vol.31 , pp. 115-124
    • Ogata, Y.1
  • 34
    • 1442338408 scopus 로고
    • Long Range Memory Property of Earthquake Occurrences and Statistical Models for Standard Seismic Activity (In Japanese)
    • Cooperative Research Report 3, Tokyo: The Institute of Statistical Mathematics
    • —— (1987), “Long Range Memory Property of Earthquake Occurrences and Statistical Models for Standard Seismic Activity” (in Japanese), in Suri Zisin Gaku (Mathematical Seismology) II, Cooperative Research Report 3, Tokyo: The Institute of Statistical Mathematics, pp. 115–124.
    • (1987) Suri Zisin Gaku (Mathematical Seismology) II , pp. 115-124
    • Ogata, Y.1
  • 35
    • 0001623615 scopus 로고
    • On Linear Intensity Models for Mixed Doubly Stochastic Poisson and Self-Exciting Point Processes
    • Ser. B
    • Ogata, Y., and Akaike, H. (1982), “On Linear Intensity Models for Mixed Doubly Stochastic Poisson and Self-Exciting Point Processes,” Journal of the Royal Statistical Society, Ser. B, 44, 102–107.
    • (1982) Journal of the Royal Statistical Society , vol.44 , pp. 102-107
    • Ogata, Y.1    Akaike, H.2
  • 36
    • 0001703940 scopus 로고
    • Point-Process Models With Linearly Parametrized Intensity for Application to Earthquake Data
    • J. Gani and M. B. Priestley, Journal of Applied Probability
    • Ogata, Y., and Katsura, K. (1986), “Point-Process Models With Linearly Parametrized Intensity for Application to Earthquake Data,” in Essays in Time Series and Allied Processes: Papers in Honour of E. J. Hannan, eds. J. Gani and M. B. Priestley, Journal of Applied Probability, 23A, 291–310.
    • (1986) Essays in Time Series and Allied Processes: Papers in Honour of E. J. Hannan , vol.23 A , pp. 291-310
    • Ogata, Y.1    Katsura, K.2
  • 37
    • 0000315223 scopus 로고
    • Transition From Aftershock to Normal Activity: The 1965 Rat Islands Earthquake Aftershock Sequence
    • Ogata, Y., and Shimazaki, K. (1984), “Transition From Aftershock to Normal Activity: The 1965 Rat Islands Earthquake Aftershock Sequence,” Bulletin of the Seismological Society of America, 74, 1757–1765.
    • (1984) Bulletin of the Seismological Society of America , vol.74 , pp. 1757-1765
    • Ogata, Y.1    Shimazaki, K.2
  • 38
    • 0000481713 scopus 로고
    • Seismicity Gap Near Oaxaca, Southern Mexico as a Probably Precursor to a large Earthquake
    • Ohtake, M., Matumoto, T., and Latham, G. V. (1977), “Seismicity Gap Near Oaxaca, Southern Mexico as a Probably Precursor to a large Earthquake,” Pageoph, 115, 375–385.
    • (1977) Pageoph , vol.115 , pp. 375-385
    • Ohtake, M.1    Matumoto, T.2    Latham, G.V.3
  • 39
    • 84912352948 scopus 로고
    • Premonitory Seismicity Lowering Triggered by a Remote Large Earthquake
    • Okada, H. (1978), “Premonitory Seismicity Lowering Triggered by a Remote Large Earthquake,” Geophysical Bulletin of Hokkaido University, 37, 43–51.
    • (1978) Geophysical Bulletin of Hokkaido University , vol.37 , pp. 43-51
    • Okada, H.1
  • 40
    • 84966209651 scopus 로고
    • Integrability of Expected Increments of Point Processes and Related Random Change of Scale
    • Papangelou, F. (1972), “Integrability of Expected Increments of Point Processes and Related Random Change of Scale,” Transactions of the American Mathematical Society, 165, 483–506.
    • (1972) Transactions of the American Mathematical Society , vol.165 , pp. 483-506
    • Papangelou, F.1
  • 42
    • 0000978301 scopus 로고
    • A Statistical Study on the Occurrence of Aftershocks
    • Utsu, T. (1961), “A Statistical Study on the Occurrence of Aftershocks,” Geophysical Magazine, 30, 521–605.
    • (1961) Geophysical Magazine , vol.30 , pp. 521-605
    • Utsu, T.1
  • 43
    • 0000109468 scopus 로고
    • On the Nature of Three Alaskan Aftershock Sequences of 1957 and 1958
    • —— (1962), “On the Nature of Three Alaskan Aftershock Sequences of 1957 and 1958,” Bulletin of the Seismological Society of America, 52, 279–297.
    • (1962) Bulletin of the Seismological Society of America , vol.52 , pp. 279-297
    • Utsu, T.1
  • 44
    • 0001633279 scopus 로고
    • Aftershocks and Earthquake Statistics (I)—Some Parameters Which Characterize an Aftershock Sequence and Their Interaction
    • Hokkaido University, Ser. VII (Geophysics)
    • —— (1969), “Aftershocks and Earthquake Statistics (I)—Some Parameters Which Characterize an Aftershock Sequence and Their Interaction,” Journal of the Faculty of Science, Hokkaido University, Ser. VII (Geophysics), 3, 129–195.
    • (1969) Journal of the Faculty of Science , vol.3 , pp. 129-195
    • Utsu, T.1
  • 45
    • 0001222866 scopus 로고
    • Aftershocks and Earthquake Statistics (II)—Further Investigation of Aftershocks and Other Earthquake Sequences Based on a New Classification of Earthquake Sequences
    • Hokkaido University, Ser. VII (Geophysics)
    • —— (1970), “Aftershocks and Earthquake Statistics (II)—Further Investigation of Aftershocks and Other Earthquake Sequences Based on a New Classification of Earthquake Sequences,” Journal of the Faculty of Science, Hokkaido University, Ser. VII (Geophysics), 3, 197–266.
    • (1970) Journal of the Faculty of Science , vol.3 , pp. 197-266
    • Utsu, T.1
  • 46
    • 0005975287 scopus 로고
    • Aftershocks and Earthquake Statistics (III)—Analyses of the Distribution of Earthquakes in Magnitude, Time and Space With Special Consideration to Clustering Characteristics of Earthquake Occurrence (1)
    • Hokkaido University, Ser. VII (Geophysics)
    • —— (1971), “Aftershocks and Earthquake Statistics (III)—Analyses of the Distribution of Earthquakes in Magnitude, Time and Space With Special Consideration to Clustering Characteristics of Earthquake Occurrence (1),” Journal of the Faculty of Science, Hokkaido University, Ser. VII (Geophysics), 3, 379–441.
    • (1971) Journal of the Faculty of Science , vol.3 , pp. 379-441
    • Utsu, T.1
  • 47
    • 0038029056 scopus 로고
    • Aftershocks and Earthquake Statistics (IV)—Analyses of the Distribution of Earthquakes in Magnitude, Time, and Space With Special Consideration to Clustering Characteristics of Earthquake Occurrence (2)
    • Hokkaido University, Ser. VII (Geophysics)
    • —— (1972), “Aftershocks and Earthquake Statistics (IV)—Analyses of the Distribution of Earthquakes in Magnitude, Time, and Space With Special Consideration to Clustering Characteristics of Earthquake Occurrence (2),” Journal of the Faculty of Science, Hokkaido University, Ser. VII (Geophysics), 4, 1–42.
    • (1972) Journal of the Faculty of Science , vol.4 , pp. 1-42
    • Utsu, T.1
  • 48
    • 0345516692 scopus 로고
    • Correlation Between Shallow Earthquake in Kwanto Region and Intermediate Earthquake in Hida Region, Central Japan
    • 2nd ser
    • —— (1975), “Correlation Between Shallow Earthquake in Kwanto Region and Intermediate Earthquake in Hida Region, Central Japan,” Zisin (Journal of the Seismological Society of Japan), 2nd ser., 28, 303–311.
    • (1975) Zisin (Journal of the Seismological Society of Japan) , vol.28 , pp. 303-311
    • Utsu, T.1
  • 49
    • 0342905746 scopus 로고
    • Seismicity of Japan From 1885 Through 1925: A New Catalog of Earthquakes of (Equation presented)Felt in Japan and Smaller Earthquakes Which Caused Damage in Japan (in Japanese)
    • —— (1979), “Seismicity of Japan From 1885 Through 1925: A New Catalog of Earthquakes of (Equation presented)Felt in Japan and Smaller Earthquakes Which Caused Damage in Japan” (in Japanese), Bulletin of the Earthquake Research Institute, 54, 254–308.
    • (1979) Bulletin of the Earthquake Research Institute , vol.54 , pp. 254-308
    • Utsu, T.1
  • 50
    • 0020265510 scopus 로고
    • Catalog of Large Earthquakes in the Region of Japan From 1885 Through 1980
    • —— (1982), “Catalog of Large Earthquakes in the Region of Japan From 1885 Through 1980,” Bulletin of the Earthquake Research Institute, 57, 401–463.
    • (1982) Bulletin of the Earthquake Research Institute , vol.57 , pp. 401-463
    • Utsu, T.1
  • 51
    • 0000718852 scopus 로고
    • Relation Between the Area of Aftershock Region and the Energy of the Main Shock
    • 2nd ser., ii
    • Utsu, T., and Seki, A. (1955), “Relation Between the Area of Aftershock Region and the Energy of the Main Shock,” Zisin (Journal of the Seismological Society of Japan), 2nd ser., ii, 7, 233–240.
    • (1955) Zisin (Journal of the Seismological Society of Japan) , vol.7 , pp. 233-240
    • Utsu, T.1    Seki, A.2
  • 52
  • 53
    • 0000994312 scopus 로고
    • Stochastic Models for Earthquake Occurrence
    • (with discussion), Ser. B
    • —— (1970), “Stochastic Models for Earthquake Occurrence” (with discussion), Journal of the Royal Statistical Society, Ser. B, 32, 1–62.
    • (1970) Journal of the Royal Statistical Society , vol.32 , pp. 1-62
    • Vere-Jones, D.1
  • 55
    • 84946652382 scopus 로고
    • A Statistical Survey of Earthquakes in the Main Seismic Region of New Zealand. Part 2. Time Series Analyses
    • Vere-Jones, D., and Davies, R. B. (1966), “A Statistical Survey of Earthquakes in the Main Seismic Region of New Zealand. Part 2. Time Series Analyses,” New Zealand Journal of Geology and Geophysics, 9, 251–284.
    • (1966) New Zealand Journal of Geology and Geophysics , vol.9 , pp. 251-284
    • Vere-Jones, D.1    Davies, R.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.