Title
Markov-switching autoregressive models for wind time series.
Abstract
In this paper, non-homogeneous Markov-Switching Autoregressive (MS-AR) models are proposed to describe wind time series. In these models, several autoregressive models are used to describe the time evolution of the wind speed and the switching between these different models is controlled by a hidden Markov chain which represents the weather types. We first block the data by month in order to remove seasonal components and propose a MS-AR model with non-homogeneous autoregressive models to describe daily components. Then we discuss extensions where the hidden Markov chain is also non-stationary to handle seasonal and interannual fluctuations. The different models are fitted using the EM algorithm to a long time series of wind speed measurement on the Island of Ouessant (France). It is shown that the fitted models are interpretable and provide a good description of important properties of the data such as the marginal distributions, the second-order structure or the length of the stormy and calm periods.
Year
DOI
Venue
2012
10.1016/j.envsoft.2011.10.011
Environmental Modelling and Software
Keywords
Field
DocType
wind time series.,wind time series,non-homogeneous hidden markov model,long time series,wind speed measurement,ms-ar model,fitted model,hidden markov chain,wind speed,autoregressive model,different model,switching au- toregressive models,time evolution,model validation,overdispersion
Econometrics,Autoregressive model,Applied mathematics,Wind speed,Nonlinear autoregressive exogenous model,Computer science,Hydrology,Markov chain,Autoregressive integrated moving average,SETAR,STAR model,Hidden Markov model
Journal
Volume
ISSN
Citations 
30
1364-8152
13
PageRank 
References 
Authors
1.10
2
2
Name
Order
Citations
PageRank
pierre ailliot1205.50
valerie monbet2152.39