FN Archimer Export Format PT J TI Modeling process asymmetries with Laplace moving average BT AF RAILLARD, Nicolas PREVOSTO, Marc AILLIOT, Pierre AS 1:1;2:1;3:2; FF 1:PDG-REM-RDT-LCSM;2:PDG-REM-RDT-LCSM;3:; C1 IFREMER, Lab Comportement Struct Mer, Issy Les Moulineaux, France. Univ Bretagne Occidentale, Lab Math Bretagne Atlantique, Brest, France. C2 IFREMER, FRANCE UBO, FRANCE SI BREST SE PDG-REM-RDT-LCSM IN WOS Ifremer jusqu'en 2018 copubli-france copubli-univ-france IF 1.179 TC 2 UR https://archimer.ifremer.fr/doc/00201/31189/29588.pdf LA English DT Article DE ;Laplace moving average;Non-linear time series;FIR estimation;Splines;High-order spectrum;Asymmetries AB Many records in environmental science exhibit asymmetries: for example in shallow water and with variable bathymetry, the sea wave time series shows front–back asymmetries and different shapes for crests and troughs. In such situation, numerical models are available but their computational cost and complexity are high. A stochastic process aimed at modeling such asymmetries has recently been proposed, the Laplace moving average process, which consists in applying a linear filter on a non-Gaussian noise built using the generalized Laplace distribution. The objective is to propose a new non-parametric estimator for the kernel involved in the definition of this process. Results based on a comprehensive numerical study will be shown in order to evaluate the performances of the proposed method. PY 2015 PD JAN SO Computational Statistics & Data Analysis SN 0167-9473 PU Elsevier Science Bv VL 81 UT 000343347500003 BP 24 EP 37 DI 10.1016/j.csda.2014.07.010 ID 31189 ER EF