SUMMARY

In this short paper we show how to use the classical maximum likelihood estimation procedure for the b-value of the Gutenberg–Richter law for catalogues with different levels of completeness. With a simple correction, that is subtracting the relative completeness level to each magnitude, it becomes possible to use the classical approach. Moreover, this correction allows to adopt the testing procedures, initially made for catalogues with a single level of completeness, for catalogues with different levels of completeness too.

中文翻译：

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回到未来：用于具有可变完整性的目录的Gutenberg–Richter b值的新估计和检验的旧方法

概要

在这篇简短的论文中，我们展示了如何针对具有不同完整性水平的目录，对古腾堡-里希特定律的b值使用经典的最大似然估计程序。通过简单的校正，即将相对完整性水平减去每个量级，就可以使用经典方法。而且，此更正允许采用最初针对具有单个完整性级别的目录的测试程序，也适用于具有不同完整性级别的目录的测试程序。