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Lévy matters. IV, Estimation for discretely observed Lévy processes / Denis Belomestny, Fabienne Comte, Valentine Genon-Catalot, Hiroki Masuda, Markus Reiss.
Math/Physics/Astronomy Library QA3 .L28 no.2128
Available
- Format:
- Book
- Author/Creator:
- Belomestny, Denis, author.
- Comte, Fabienne, author.
- Genot-Catalot, Valentine, author.
- Masuda, Hiroki, author.
- Reiss, Markus, 1973- author.
- Series:
- Lecture notes in mathematics (Springer-Verlag) ; 2128.
- Lévy matters ; 4.
- Lecture notes in mathematics, 0075-8434 ; 2128
- Language:
- English
- Subjects (All):
- Lévy processes.
- Physical Description:
- xv, 286 pages : illustrations ; 24 cm.
- Other Title:
- Lévy matters IV
- Lévy matters 4
- Estimation for discretely observed Lévy processes
- Place of Publication:
- Cham [Switzerland] ; New York : Springer, [2015]
- 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 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.
- Contents:
- Estimation and calibration of Lévy models via Fourier methods / Denis Belomestny and Markus Reiss
- Adaptive estimation for Lévy processes / Fabienne Comte and Valentine Genon-Catalot
- Parametric estimation of Lévy processes / Hiroki Masuda.
- Notes:
- Includes bibliographical references.
- Other Format:
- Online version: Belomestny, Denis. Lévy Matters IV.
- ISBN:
- 9783319123721
- 3319123726
- OCLC:
- 899566281
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