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
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EULA