Title
Hierarchical mixtures of autoregressive models for time-series modeling
Abstract
A hierarchical mixture of autoregressive (AR) models is proposed for the analysis of nonlinear time-series. The model is a decision tree with soft sigmoidal splits at the inner nodes and linear autoregressive models at the leaves. The global prediction of the mixture is a weighted average of the partial predictions from each of the AR models. The weights in this average are computed by the application of the hierarchy of soft splits at the inner nodes of the tree on the input, which consists in the vector of the delayed values of the time series. The weights can be interpreted as a priori probabilities that an example is generated by the AR model at that leaf. As an illustration of the flexibility and robustness of the models generated by these mixtures, an application to the analysis of a financial time-series is presented.
Year
DOI
Venue
2003
10.1007/3-540-44989-2_71
ICANN
Keywords
Field
DocType
soft sigmoidal split,time-series modeling,nonlinear time-series,soft split,financial time-series,decision tree,linear autoregressive model,weighted average,hierarchical mixture,inner node,ar model,autoregressive model,time series model,time series
Applied mathematics,Decision tree,Nonlinear system,A priori and a posteriori,Robustness (computer science),Artificial intelligence,STAR model,Mixture theory,Autoregressive model,Pattern recognition,Linear model,Statistics,Mathematics
Conference
Volume
ISSN
ISBN
2714
0302-9743
3-540-40408-2
Citations 
PageRank 
References 
1
0.40
8
Authors
2
Name
Order
Citations
PageRank
Carmen Vidal110.40
Alberto Suárez2676.28