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- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2128)
Part of the book sub series: Lévy Matters (LEVY)
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Table of contents (3 chapters)
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Front Matter
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Back Matter
About this book
The aim of this volume is to provide an extensive account of the most recent advances in statistics for discretely observed Lévy processes. These days, statistics for stochastic processes is a lively topic, driven by the needs of various fields of application, such as finance, the biosciences, and telecommunication.
The three chapters of this volume are completely dedicated to the estimation of Lévy processes, and are written by experts in the field. The first chapter by Denis Belomestny and Markus Reiß treats the low frequency situation, and estimation methods are based on the empirical characteristic function. The second chapter by Fabienne Comte and Valery Genon-Catalon is dedicated to non-parametric estimation mainly covering the high-frequency data case. A distinctive feature of this part is the construction of adaptive estimators, based on deconvolution or projection or kernel methods. The last chapter by Hiroki Masuda considers the parametric situation. The chapters cover the main aspects of the estimation of discretely observed Lévy processes, when the observation scheme is regular, from an up-to-date viewpoint.
Reviews
“This is a remarkable collection presenting different but important aspects in statistical inference problems for Lévy processes based on discrete observations. The authors of the three chapters have made essential contributions in this area. All three chapters are carefully written and referenced. PhD students and professionals in stochastic modelling will benefit a lot from this volume.” (Jordan M. Stoyanov, zbMATH 1330.60002, 2016)
Authors and Affiliations
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Duisburg-Essen University, Faculty of Mathematics, Thea-Leymann-Str. 9, D-45127 Essen, Germany and National University Higher School of Economics, Moscow, Russia
Denis Belomestny
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MAP5, UMR CNRS 8145, University Paris Descartes, Sorbonne Paris Cité, Paris, France
Fabienne Comte, Valentine Genon-Catalot
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Institute of Mathematics for Industry, Kyushu University, Fukuoka, Japan
Hiroki Masuda
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Institut für Mathematik, Humboldt-Universität zu Berlin, Berlin, Germany
Markus Reiß
Bibliographic Information
Book Title: Lévy Matters IV
Book Subtitle: Estimation for Discretely Observed Lévy Processes
Authors: Denis Belomestny, Fabienne Comte, Valentine Genon-Catalot, Hiroki Masuda, Markus Reiß
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-12373-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Softcover ISBN: 978-3-319-12372-1Published: 16 December 2014
eBook ISBN: 978-3-319-12373-8Published: 05 December 2014
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XV, 286
Number of Illustrations: 7 b/w illustrations, 14 illustrations in colour
Topics: Probability Theory and Stochastic Processes, Statistics for Business, Management, Economics, Finance, Insurance, Economic Theory/Quantitative Economics/Mathematical Methods