1982: A COMMENT ON THE EPSTEIN'S MODEL FOR THE MAGNITUDE OF EARTHQUAKES. Acta Seismologica Sinica, 4(4): 426-433.
Citation: 1982: A COMMENT ON THE EPSTEIN'S MODEL FOR THE MAGNITUDE OF EARTHQUAKES. Acta Seismologica Sinica, 4(4): 426-433.

A COMMENT ON THE EPSTEIN'S MODEL FOR THE MAGNITUDE OF EARTHQUAKES

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  • Published Date: August 31, 2011
  • In this paper the author points out that G(y)=exp( - e-y), y0, the distribution of magnitude of earthquakes, suggested by B. Epstein is not the Type I distribution of the largest value, but is the Type Poisson-Bxponential compound distribution of extreme value because the Epstein's distribution has a saltus e- at y=0. The method suggested by B. Epstein is not feasible if no earthquake is observed in a year from all data.The precent author not only gives the general theory and method, but also proposes a new method which is similar to the computation of the height of typhoon wave in ocean. This method has advantage for the area where earthquakes are observed not very often.
  • [1] B. Epstein and C. Lommitz, A model for the oceurrexice of large earthquakes, Nature, 211, 5052952——956, 1966.

    [2] 陈培善、林邦慧,极值理论在中长期地震预报中的应用,地球物理学报,16, 6——24, 1973,

    [3] 马逢时、刘德辅,复合极值分布理论及其应用,应用数学学报,2, 4, 366——375, 1979.

    [4] 马逢时、刘德辅,海洋工程建筑中设计波高淮算的新方法,科学通报,24, 1, 33——37, 1979.

    [5] Liu Tehfu(刘德辅)and Ma Fengshi(马逢时)Prediction of extreme heights and wind velocities, Journal of the Wateuway, Port, Coastal and Ocean Division,A SCE, 106, ww4, 469——479.Nov.. 1980.

    [6] E. J. Gumbel. Statistics of Ytremes, Columbia Lniversi Press. 1958.

    [1] B. Epstein and C. Lommitz, A model for the oceurrexice of large earthquakes, Nature, 211, 5052952——956, 1966.

    [2] 陈培善、林邦慧,极值理论在中长期地震预报中的应用,地球物理学报,16, 6——24, 1973,

    [3] 马逢时、刘德辅,复合极值分布理论及其应用,应用数学学报,2, 4, 366——375, 1979.

    [4] 马逢时、刘德辅,海洋工程建筑中设计波高淮算的新方法,科学通报,24, 1, 33——37, 1979.

    [5] Liu Tehfu(刘德辅)and Ma Fengshi(马逢时)Prediction of extreme heights and wind velocities, Journal of the Wateuway, Port, Coastal and Ocean Division,A SCE, 106, ww4, 469——479.Nov.. 1980.

    [6] E. J. Gumbel. Statistics of Ytremes, Columbia Lniversi Press. 1958.

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