摘要
在文献[7]的基础上,本文用数字模拟方法对最大似然估值b的性质进行了比较详细的研究。结果表明,除震级范围(M_2—M_1)和分档间隔△M外,真值b本身的大小对估值的偏差程度也有一定的影响。指出是b的一致、渐近有效和渐近无偏估计值,而且收敛速度相当快。对于真值b=0.80,当参与统计的地震数N=20,估值b的偏差和均方误差即已基本稳定在+0.04和0.20左右。因此在地震频度不高的地区,用最大似然法进行b值的日常测定是比较适宜的。
In this paper, based on Reference [7], a relatively detailed study is made on the nature of maximum likelihood estimated value b by mumerical simulation. The result shows that in addition to magnitude range (M2-M1) and graded interval △M, the size of real value b itself also has a certain effect on deviation of estimated value b. It is pointed out that b is a consistent, asymptotic effective and asymptotic non-deviatoric estimated value of b, and the convergence rate is rather fast.For real value b=0.80, at the statistical earthquake number N=20,the deviation and mean square error of estimated value b are basically stabilized at about + 0.04 and 0.20. So in the areas Where earthquake frequencies are not high, it is reasonable to make routine measurement of b value by maximum likelihood method.
出处
《华北地震科学》
北大核心
1991年第1期28-34,共7页
North China Earthquake Sciences
