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## Details

Genre/Form: | Textbooks |
---|---|

Additional Physical Format: | Ebook version : |

Document Type: | Book |

All Authors / Contributors: |
Rodolfo Console; Maura Murru; Giuseppe Falcone, (Geophysicist) |

ISBN: | 9781786301246 1786301245 |

OCLC Number: | 1004258576 |

Description: | xxi, 138 pages : charts ; 25 cm. |

Contents: | Foreword -- Preface -- Introduction -- Chapter 1. Siesmicity and earthquake catalogues described as point processes -- 1.1. The Gutenberg-Richter law -- 1.2. The time-independent Poisson model -- 1.3. Occurrence rate density as a space-time continuous variable -- 1.4. Time-independent spatial distribution -- 1.5. Clustered seismicity -- 1.6. Epidemic models -- Chapter 2. The likelihood of a hypothesis -- 2.1. The Bayes theorem -- 2.2. Likelihood function -- 2.3. Alternative formulations -- 2.4. Likelihood ratio -- Chapter 3. The likelihood for a model of continuous rate density distribution -- 3.1. The limit case of regions of infinitesimal dimensions -- 3.2. The case of discrete regions -- 3.3. The case of time independence -- 3.4. The likelihood of an epidemic model in a 4-D space of parameters -- Chapter 4. Forecast verification procedures -- 4.1. Scoring procedures -- 4.2. The binary diagrams -- 4.2.1. The ROC diagrams -- 4.2.2. Molchan's error diagram -- 4.2.3. Probability gain -- 4.2.4. R-score -- 4.3. Statistical tests implemented within CSEP -- 4.3.1. Number test or N-test -- 4.3.2. Data-consistency test or L-test -- 4.3.3. S(pace)-test or S-test -- 4.3.4. M(agnitude)-test or M-test -- Chapter 5. Applications of epidemic models -- 5.1. Declustering a catalogue through an epidemic model -- 5.2. Earthquake forecasting -- 5.3. Seismic hazard maps for short-term forecast -- Chapter 6. Long-term earthquake occurrence models -- 6.1. The empirical Gutenberg-Richter law and the time-independent model under the Poisson hypothesis -- 6.2. Statistics of inter-event times -- 6.3. The truncated magnitude distribution -- 6.4. Earthquake rate assessment under a renewal time-dependent model -- 6.4.1. Exponential distribution (under the time-dependent hypothesis) -- 6.4.2. Log-normal distribution -- 6.4.3. Gamma distribution -- 6.4.4. Weibull distribution -- 6.4.5. Double-exponential distribution -- 6.4.6. BPT distribution -- 6.5. Validation and comparison of renewal time-dependent models -- 6.5.1. The likelihood ratio -- 6.5.2. Long-term earthquake records -- 6.5.3. Application of a Monte Carlo procedure -- 6.5.4. Concluding remarks -- 6.6. The Cornell method for time-dependent seismic hazard assessment -- 6.7. Acknowledgments -- Chapter 7. Computer programs and examples of their use -- 7.1. PDE2REC, ZMAP2REC -- 7.2. REC2PDE -- 7.3. SMOOTH -- 7.4. LIKELAQP -- 7.5. LIKSTAQP -- 7.6. BPT -- Bibliography -- Index. |

Series Title: | Mathematics and statistics series (ISTE)., Statistical methods for earthquakes set ;, v. 1. |

Responsibility: | Rodolfo Console, Maura Murru, Giuseppe Falcone. |

### Abstract:

Earthquake Occurrence provides the reader with a review of algorithms applicable for modeling seismicity, such as short-term earthquake clustering and pseudo-periodic long-term behavior of major earthquakes.
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