本文指出 B.Epstein提出的地震震级分布函数G(y)=exp(—αe~(-βy)),y≥0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~(-α).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。 This paper points out that the earthquake magnitude distribution function G (y) = exp (-αe ~ (-βy)) proposed by E. Epstein is not the type I maximum distribution function but the Poisson exponential complex extreme value distribution This is because G (y) has a degree of e ~ (-α) at ​​y = 0. The Epstein method does not apply when there is “no earthquake” in the seismic data for a certain year. Therefore, this article not only gives a more general theory and method, but also proposes a new calculation method. It is similar to the calculation of the ocean wave height distribution caused by the typhoon. This method will have obvious advantages for regions with less seismic data.