Earthquake statistical analysis through multi-state modeling / Irene Votsi, [and three others].

Format:

Book

Author/Creator:

Votsi, Irene, author.

Series:

Mathematics and statistics series (ISTE). Statistical methods for earthquakes set ; Volume 2.

Statistical methods for earthquakes set ; Volume 2

Language:

English

Subjects (All):

Earthquakes--Mathematical models.

Earthquakes.

Physical Description:

1 online resource (184 pages).

Edition:

1st ed.

Place of Publication:

London, England ; Hoboken, New Jersey : ISTE : Wiley, 2019.

Summary:

Earthquake occurrence modeling is a rapidly developing research area. This book deals with its critical issues, ranging from theoretical advances to practical applications. The introductory chapter outlines state-of-the-art earthquake modeling approaches based on stochastic models. Chapter 2 presents seismogenesis in association with the evolving stress field. Chapters 3 to 5 present earthquake occurrence modeling by means of hidden (semi- )Markov models and discuss associated characteristic measures and relative estimation aspects. Further comparisons, the most important results and our concluding remarks are provided in Chapters 6 and 7. This book is mainly intended for statisticians, mathematicians working in applied probability, and theoretically-oriented geophysicists and engineers interested in semi-Markov process theories, but it could be equally supportive to Master's and PhD students and professional researchers interested in stochastic modeling for probing the nature of earthquake phenomena.

Contents:

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

1.4.1. ΔCS for strike-slip faulting

1.4.2. ΔCS for dip-slip faulting

1.5. Seismicity triggered by stress transfer

1.5.1. Triggering of strong earthquakes

1.5.2. Aftershock triggering

1.5.3. Triggering of mining seismicity

1.6. Discussion on stress interaction

2. Hidden Markov Models

2.1. Introduction

2.2. Hidden Markov framework

2.3. Seismotectonic regime and seismicity data

2.4. Application to earthquake occurrences

2.4.1. Two hidden states and three observation types

2.4.2. Three hidden states and three observation types

2.4.3. Model selection and simulation

2.4.4. Steps number for the first earthquake occurrence

2.5. 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 framework

5.3.1. HMM case

5.3.2. HMRM case

5.4. Conclusion

Discussion &amp

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.

Notes:

Description based on print version record.

ISBN:

9781119579076

1119579074

9781119579069

1119579066

OCLC:

1082256728