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地震活动性中的ＧｕｔｅｎｂｅｒｇＲｉｃｈｔｅｒ关系（ｌｏｇＮ＝ａ－ｂＭ）在确定地震发生率时起着重要作用，实际分析中存在的对ＧＲ关系的偏离主要是由于地震目录的不完全性引起：即在低震级端因地震的监测能力有限，在高震级端因大震的稀少导致的统计涨落。本文根据过去３０年来仪器记录的地震目录，得到了中国大陆地区的ＧＲ线性关系式，并据此确定了中国历史地震目录的不完全性以及不同时段和震级区间的遗失率，进而根据得到的遗失率估算了香港及周围地区的地震发生率。由现代仪器目录和历史目录拟合ＧＲ关系给出的统计参数显然不同，然而，对历史目录应用遗失率校正后获得的统计参数则符合得很好。本文的结果表明，通过对地震目录进行不完全性分析，可以在低地震活动地区获得较准确的地震发生率。
The GutenbergRichter relationship (logN = a-bM) in seismicity plays an important role in determining the occurrence of earthquakes. The deviations from the GR relationship in the actual analysis are mainly caused by the incompleteness of the earthquake catalog: That is, the statistical fluctuation due to the rare earthquakes at the high-magnitude end due to the limited monitoring capability of earthquakes at the low magnitude level. Based on the catalogs of earthquakes recorded by instruments in the past 30 years, this paper obtained the GR linear relationship in mainland China and determined the incompleteness of Chinese historical earthquake catalogs and the loss rates in different time intervals and magnitude intervals. Based on these results, The rate of loss estimates the incidence of earthquakes in Hong Kong and the surrounding area. The statistical parameters given by fitting the G-R relationship between the modern instrument catalog and the historical catalog are obviously different. However, the statistical parameters obtained after applying the missing rate correction to the historical catalog are in good agreement. The results of this paper show that by analyzing incompletely the seismic catalogs, it is possible to obtain a more accurate earthquake occurrence rate in areas with low seismic activity.