Abstract: | In this paper,we use the relationship Log N =a - b M between magnitude and frequency. The method of robust estimation of the b-value is expounded by an examle. In general, the estimation resule can correspond with the distribution of the real data. The robust estimation result is compared with by the least squares method and by the maximum likelihood method. When we use the robust estimation method, not reject the section of small or great magnitude,and the estmation result is corresponded with by the least squares method after selecting an upper and a lower limit of magnitude reasonably.In addition,the result of residual analysis shows that a relation of magnitude-frequency can not be a simple logarithm straight relationship, it is necessary for adding higher order items to the Gutenberg-Richter magnitude-frequency relation. |