Title
Modeling process asymmetries with Laplace moving average.
Abstract
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.
Year
DOI
Venue
2015
10.1016/j.csda.2014.07.010
Computational Statistics & Data Analysis
Keywords
Field
DocType
Laplace moving average,Non-linear time series,FIR estimation,Splines,High-order spectrum,Asymmetries
Kernel (linear algebra),Econometrics,Linear filter,Laplace transform,Variance-gamma distribution,Stochastic process,Statistics,Moving average,Moving-average model,Mathematics,Estimator
Journal
Volume
ISSN
Citations 
81
0167-9473
0
PageRank 
References 
Authors
0.34
1
3
Name
Order
Citations
PageRank
Nicolas Raillard100.34
Marc Prevosto200.68
pierre ailliot3205.50