Estimating the Magnitude of Completeness of Earthquake Catalogs Using a Simple Random Variable Transformation
The estimation of the magnitude of completeness for a seismic catalog is the starting point for most of the seismological statistical analyses. It is important, in particular, for the estimation of the Gutenberg–Richter (GR) law parameters. This law corresponds to an exponential distribution of the...
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| Format: | Article |
| Language: | English |
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Seismological Society of America
2023-07-01
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| Series: | The Seismic Record |
| Online Access: | https://doi.org/10.1785/0320230017 |
| _version_ | 1797630792713633792 |
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| author | Matteo Taroni |
| author_facet | Matteo Taroni |
| author_sort | Matteo Taroni |
| collection | DOAJ |
| description | The estimation of the magnitude of completeness for a seismic catalog is the starting point for most of the seismological statistical analyses. It is important, in particular, for the estimation of the Gutenberg–Richter (GR) law parameters. This law corresponds to an exponential distribution of the magnitudes. The recent studies have shown that the proper method to estimate the completeness is to check the exponentiality of the data. Here, we try to improve this method using a simple random variable transformation, which makes the method more robust in the case of catalogs with magnitudes coming from exponential distributions with different parameters, that is, catalogs with different b‐values of the GR law. |
| first_indexed | 2024-03-11T11:13:15Z |
| format | Article |
| id | doaj.art-368d77d021fe45479c9102b4ee2c55a4 |
| institution | Directory Open Access Journal |
| issn | 2694-4006 |
| language | English |
| last_indexed | 2024-03-11T11:13:15Z |
| publishDate | 2023-07-01 |
| publisher | Seismological Society of America |
| record_format | Article |
| series | The Seismic Record |
| spelling | doaj.art-368d77d021fe45479c9102b4ee2c55a42023-11-11T11:15:18ZengSeismological Society of AmericaThe Seismic Record2694-40062023-07-013319419910.1785/032023001723017Estimating the Magnitude of Completeness of Earthquake Catalogs Using a Simple Random Variable TransformationMatteo Taroni0https://orcid.org/0000-0001-6999-4590Istituto Nazionale di Geofisica e Vulcanologia, Rome, ItalyThe estimation of the magnitude of completeness for a seismic catalog is the starting point for most of the seismological statistical analyses. It is important, in particular, for the estimation of the Gutenberg–Richter (GR) law parameters. This law corresponds to an exponential distribution of the magnitudes. The recent studies have shown that the proper method to estimate the completeness is to check the exponentiality of the data. Here, we try to improve this method using a simple random variable transformation, which makes the method more robust in the case of catalogs with magnitudes coming from exponential distributions with different parameters, that is, catalogs with different b‐values of the GR law.https://doi.org/10.1785/0320230017 |
| spellingShingle | Matteo Taroni Estimating the Magnitude of Completeness of Earthquake Catalogs Using a Simple Random Variable Transformation The Seismic Record |
| title | Estimating the Magnitude of Completeness of Earthquake Catalogs Using a Simple Random Variable Transformation |
| title_full | Estimating the Magnitude of Completeness of Earthquake Catalogs Using a Simple Random Variable Transformation |
| title_fullStr | Estimating the Magnitude of Completeness of Earthquake Catalogs Using a Simple Random Variable Transformation |
| title_full_unstemmed | Estimating the Magnitude of Completeness of Earthquake Catalogs Using a Simple Random Variable Transformation |
| title_short | Estimating the Magnitude of Completeness of Earthquake Catalogs Using a Simple Random Variable Transformation |
| title_sort | estimating the magnitude of completeness of earthquake catalogs using a simple random variable transformation |
| url | https://doi.org/10.1785/0320230017 |
| work_keys_str_mv | AT matteotaroni estimatingthemagnitudeofcompletenessofearthquakecatalogsusingasimplerandomvariabletransformation |