Multistate Models in Earthquake Modeling

Description

Content: Cover Half-Title Page Dedication Title Page Copyright Page Contents List of Abbreviations List of Symbols Preface Introduction I.1. Motivation and objectives I.2. Seismic hazard assessment I.3. Earthquake occurrence models I.3.1. Stress release models I.3.2. Stress-based models I.3.3. Renewal models I.3.4. Markov and semi-Markov models I.3.5. Hidden (semi- )Markov models 1. Fundamentals on Stress Changes 1.1. Introduction 1.2. Stress interaction 1.3. Stress changes calculation 1.4. Modeling of Coulomb stress changes for different faulting types 2.4.4. Steps number for the first earthquake occurrence2.5. Conclusion 3. Hidden Markov Renewal Models 3.1. Introduction 3.2. Semi-Markov framework 3.3. Hidden Markov renewal framework 3.4. Modeling earthquakes in Greece 3.4.1. Hitting times and earthquake occurrence numbers 3.5. Conclusion 4. Hitting Time Intensity 4.1. Introduction 4.2. DTIHT for semi-Markov chains 4.2.1. Statistical estimation of the DTIHT 4.3. DTIHT for hidden Markov renewal chains 4.4. Conclusion 5. Models Comparison 5.1. Introduction 5.2. Markov framework 5.2.1. HMM case 5.2.2. HMRM case 5.3. Markov renewal framework5.3.1. HMM case 5.3.2. HMRM case 5.4. Conclusion Discussion & Concluding Remarks Appendices Appendix 1: Markov Models Appendix 2: Hidden Markov Models A2.1. Scoring or evaluation problem A2.1.1. Estimation or training problem A2.1.2. Decoding or alignment problem Appendix 3: Dataset References Index Other titles from iSTE in Mathematics and Statistics EULA