Title
Renormalized maximum likelihood for multivariate autoregressive models.
Abstract
Renormalized maximum likelihood (RNML) is a powerful concept from information theory. We show how it can be used to derive a criterion for selecting the order of vector autoregressive (VAR) processes. We prove that RNML criterion is strongly consistent. We also demonstrate empirically its good performance for examples of VAR which have been considered in recent literature because they possess a particular type of sparsity. In our experiments, we pay a special attention to models for which the inverse spectral density matrix (ISDM) has a specific sparsity pattern. The interest on these models is motivated by the relationship between sparse structure of ISDM and the problem of inferring the conditional independence graph for multivariate time series.
Year
Venue
Keywords
2016
European Signal Processing Conference
Renormalized maximum likelihood,vector autoregressive model,order selection,maximum entropy,convex optimization
Field
DocType
ISSN
Information theory,Autoregressive model,Time series,Applied mathematics,Mathematical optimization,Conditional independence,Principle of maximum entropy,STAR model,Maximum likelihood sequence estimation,Restricted maximum likelihood,Mathematics
Conference
2076-1465
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Said Maanan110.70
Bogdan Dumitrescu210722.76
Ciprian Doru Giurcaneanu34312.44