【摘要】 本文假设地震的发生与时间的关系遵循稳态泊松模型,假设地震震级M服从参数为1/β的指数分布,其中β=b/loge,在此基础上生成地震目录。用最小二乘法估算b值,分别从样本数量、震级间隔、震级误差三方面分析b值误差的大小。统计分析结果表明,b值的标准偏差随着样本数量的增多而减小;随着震级间隔的增大而减小;震级误差使b值的标准误差变大。本文可以为利用真实地震目录求b值时选择适当的方法提供参考。更多还原

【Abstract】 In this paper,we assume that relationship between earthquake occurrence and time follows stationary Poisson model;and earthquake magnitude Mis an exponential distribution with parameter 1/β,β=b/loge.Earthquake catalog are generated based on this assumption.We use the least square method to estimate b values,and analysis the error of b values from number of samples,magnitude interval,and magnitude respectively.Statistical analysis shows that the standard deviation of b values decreases with the increase of the number of samples,the standard deviation of b values decreases with the increase of the magnitude interval,and magnitude error makes the standard deviation of b value bigger.更多还原