Identification of Canonical Models for Vectors of Time Series: A Subspace Approach

We propose a new method to specify linear models for vectors of time series with some convenient properties. First, it provides a unified modeling approach for single and multiple time series, as the same decisions are required in both cases. Second, it is scalable, meaning that it provides a quick...

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Detalles Bibliográficos
Autores: García Hiernaux, Alfredo Alejandro, Casals, José, Jerez Méndez, Miguel
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/72171
Acceso en línea:https://hdl.handle.net/20.500.14352/72171
Access Level:acceso abierto
Palabra clave:System identification
Canonical models
Kronecker indices
Subspace methods
State-space models
Econometría (Estadística)
Econometría (Economía)
5302.04 Estadística Económica
5302 Econometría
Descripción
Sumario:We propose a new method to specify linear models for vectors of time series with some convenient properties. First, it provides a unified modeling approach for single and multiple time series, as the same decisions are required in both cases. Second, it is scalable, meaning that it provides a quick preliminary model, which can be refined in subsequent modeling phases if required. Third, it is optionally automatic, because the specification depends on a few key parameters which can be determined either automatically or by human decision. And last, it is parsimonious, as it allows one to choose and impose a canonical structure by a novel estimation procedure. Several examples with simulated and real data illustrate its application in practice.