Lévy matters IV [electronic resource] : estimation for discretely observed Lévy processes / Denis Belomestny, Fabienne Comte, Valentine Genon-Catalot, Hiroki Masuda, Markus Rei€.
2015
QA274.73
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Title
Lévy matters IV [electronic resource] : estimation for discretely observed Lévy processes / Denis Belomestny, Fabienne Comte, Valentine Genon-Catalot, Hiroki Masuda, Markus Rei€.
ISBN
9783319123738 electronic book
3319123734 electronic book
9783319123721
3319123734 electronic book
9783319123721
Published
Cham : Springer, 2015.
Language
English
Description
1 online resource (xv, 286 pages) : illustrations (some color).
Item Number
10.1007/978-3-319-12373-8 doi
Call Number
QA274.73
Dewey Decimal Classification
519.2
Summary
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 Rei€ 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.
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Includes bibliographical references.
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text file PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed March 2, 2015).
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Series
Lévy matters ; 2128.
Available in Other Form
Print version: 9783319123721
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Table of Contents
Estimation and calibration of Lévy models via Fourier methods
Adaptive Estimation for Lévy processes
Parametric estimation of Lévy processes.
Adaptive Estimation for Lévy processes
Parametric estimation of Lévy processes.