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XIII Symposium on Probability and Stochastic ProcessesInvertibility of Infinitely Divisible Continuous-Time Moving Average Processes

XIII Symposium on Probability and Stochastic Processes: Invertibility of Infinitely Divisible... [This paper studies the invertibility property of continuous time moving average processes driven by a Lévy process. We provide of sufficient conditions for the recovery of the driving noise. Our assumptions are specified via the kernel involved and the characteristic triplet of the background driving Lévy process.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

XIII Symposium on Probability and Stochastic ProcessesInvertibility of Infinitely Divisible Continuous-Time Moving Average Processes

Part of the Progress in Probability Book Series (volume 75)
Editors: López, Sergio I.; Rivero, Víctor M.; Rocha-Arteaga, Alfonso; Siri-Jégousse, Arno

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References (22)

Publisher
Springer International Publishing
Copyright
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
ISBN
978-3-030-57512-0
Pages
153 –167
DOI
10.1007/978-3-030-57513-7_6
Publisher site
See Chapter on Publisher Site

Abstract

[This paper studies the invertibility property of continuous time moving average processes driven by a Lévy process. We provide of sufficient conditions for the recovery of the driving noise. Our assumptions are specified via the kernel involved and the characteristic triplet of the background driving Lévy process.]

Published: Oct 17, 2020

Keywords: Moving average processes; Infinitely divisible processes; Invertibility of stationary processes; Causality; Lévy semistationary processes

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