Eleftheria Papadimitriou - Statistical Methods and Modeling of Seismogenesis

5 Preface

6 Begin Reading

7 List of Authors

8 Index

9 End User License Agreement

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SCIENCES

Statistics , Field Director – Nikolaos Limnios and Kerrie Mengersen Geostatistics

Coordinated by

Nikolaos Limnios

Eleftheria Papadimitriou

George Tsaklidis

First published 2021 in Great Britain and the United States by ISTE Ltd and John Wiley & Sons, Inc.

Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms and licenses issued by the CLA. Enquiries concerning reproduction outside these terms should be sent to the publishers at the undermentioned address:

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© ISTE Ltd 2021

The rights of Nikolaos Limnios, Eleftheria Papadimitriou and George Tsaklidis to be identified as the authors of this work have been asserted by them in accordance with the Copyright, Designs and Patents Act 1988.

Library of Congress Control Number: 2020950512

British Library Cataloguing-in-Publication Data

A CIP record for this book is available from the British Library

ISBN 978-1-78945-037-8

ERC code:

PE1 Mathematics

PE1_13 ProbabilityPE1_14 Statistics PE1_20 Application of mathematics in sciences

PE10 Earth System Science

PE10_7 Physics of earth’s interior, seismology, volcanology

Nikolaos LIMNIOS1, Eleftheria PAPADIMITRIOU2 and George TSAKLIDIS2

1Laboratoire de Mathématiques Appliquées de Compiègne, University of Technology of Compiègne, Sorbonne University, Compiègne, France 2Aristotle University of Thessaloniki, Greece

The study of earthquakes is a multidisciplinary field where geodynamics meets mathematics, engineering, etc. In these approaches, the randomness is present in a natural way.

Stochastic studies (probabilistic modeling, stochastic processes and statistics) can have different types – black box (one state), white box (multi-state system), simulation of different aspects, etc.

One of the positive points of this multi-author volume is that it provides many of the previous aspects by authors from different institutions around the world, known for their earthquake-specific approaches.

Topics such as statistical non-parametric and parametric methods, multi-state systems approach, simulators of earthquake, post-seismic activity models, ETAS branching-type models, time series Markov models with regression, scaling properties and multifractal approaches, self-correcting models, linked stress release model, Markovian arrival models, Poisson models based detection techniques, change point detection techniques on seismicity models and, finally, semi-Markov models for earthquake forecast are presented in this volume.

The present volume is organized as follows.

Chapter 1, by Stanislaw Lasocki, deals with the non-parametric estimation of the density function, in particular the well-known kernel density estimation. The non-parametric approach is now a well-established method in statistical theory and, considering the fact that there are important collections of seismic data, it is important, and its applications in statistical seismology are natural. The kernel density estimation is a model-free estimation of the probability functions of continuous random variables. The estimation is carried out solely from sample data.