摘要
The authors study the maximum magnitude laws of earthquake by use of the generalized extreme value distribution,and give related methods and formula of seismic risk analysis with the distribution of generalized extreme value.From the statistical analysis of extreme values on historical earthquake data in Taiwan,we find out that the number of earthquake occurrence calculated by generalized extreme value distribution is completely consistent with that of actual earthquake occurrence when the maximum magnitude is greater than M7.On the basis of it,we predict the seismic risk in Taiwan in the coming years.