| 评B.Epstein关于地震震级分布的统计模型/ |
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| 引用本文： | 马逢时.评B.Epstein关于地震震级分布的统计模型/[J].地震学报,1982,4(4):426-433. |
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| 作者姓名： | 马逢时 |
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| 作者单位： | 天津大学 |
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| 摘 要： | 本文指出 B.Epstein提出的地震震级分布函数G(y)=exp(——e-y),y0并不是Ⅰ型极大值分布函数,而是泊松指数型复合极值分布,这是因为G(y)在y=0处有跃度e-.当地震资料中有某一年无震时,Epstein方法就不适用了。为此,本文不但给出更一般的理论和方法,而且提出一种新的计算方法。它与台风导致的海洋波高分布的计算是相似的。此法对地震资料较少的地区将有明显的优越性。
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A COMMENT ON THE EPSTEIN'S MODEL FOR THE MAGNITUDE OF EARTHQUAKES |
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| Abstract: | 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. |
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