Access the full text.
Sign up today, get DeepDyve free for 14 days.
F. Benth, Heidar Eyjolfsson, Almut Veraart (2014)
Approximating Lévy Semistationary Processes via Fourier Methods in the Context of Power MarketsSIAM J. Financial Math., 5
Serge Cohen, M. Maejima (2011)
Selfdecomposability of moving average fractional Lévy processesStatistics & Probability Letters, 81
P. Brockwell, Alexander Lindnery (2009)
Existence and uniqueness of stationary Lvy-driven CARMA processes
O. Barndorff-Nielsen, M. Maejima, Ken-iti Sato (2006)
Infinite Divisibility for Stochastic Processes and Time ChangeJournal of Theoretical Probability, 19
P. Brockwell, R. Davis (2013)
Time Series: Theory and Methods
P. Brockwell, V. Ferrazzano, C. Klüppelberg (2011)
High‐frequency sampling and kernel estimation for continuous‐time moving average processesJournal of Time Series Analysis, 34
J. Pedersen, Orimar Sauri (2015)
On Lévy semistationary processes with a gamma kernel
R. Brath (2020)
DistributionsVisualizing with Text
O. Barndorff-Nielsen, A. Basse-O’Connor (2009)
Quasi Ornstein–Uhlenbeck processesBernoulli, 17
H. Bang, G. Wilmes, Mitsuo Morimoto, C. Watari, C. Markett, P. Nevai, G. Freud, C. Roumieu, R. Meise, M. Reed, B. Simon, S. Saitoh (1997)
Spectrum of Functions in Orlicz SpacesJournal of Mathematical Sciences-the University of Tokyo, 4
O. Barndorff-Nielsen, F. Benth, Almut Veraart (2013)
Modelling energy spot prices by volatility modulated Levy-driven Volterra processesBernoulli, 19
V. Ferrazzano, F. Fuchs (2012)
Noise recovery for Lévy-driven CARMA processes and high-frequency behaviour of approximating Riemann sumsElectronic Journal of Statistics, 7
M. Rao, Z. Ren (1991)
Theory of Orlicz spaces
Almut Veraart, L. Veraart (2014)
Modelling Electricity Day-Ahead Prices by Multivariate Lévy Semistationary Processes
Ken-iti Sato (2006)
Additive processes and stochastic integralsIllinois Journal of Mathematics, 50
F. Comte, É. Renault (1996)
Noncausality in Continuous Time ModelsEconometric Theory, 12
A. Kamińska (2002)
On Musielak-orlicz Spaces Isometric to L 2 or L ∞
(2003)
The Lévy-Itô decomposition of an independently scattered random measure
B. Rajput, J. Rosínski (1989)
Spectral representations of infinitely divisible processesProbability Theory and Related Fields, 82
O. Barndorff-Nielsen, Orimar Sauri, B. Szozda (2015)
Selfdecomposable FieldsJournal of Theoretical Probability, 30
A. Basse-O’Connor, J. Rosi'nski (2012)
Characterization of the finite variation property for a class of stationary increment infinitely divisible processesStochastic Processes and their Applications, 123
J. Musielak (1983)
Orlicz Spaces and Modular Spaces
[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
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.