Title
A Canonical Space-Time State Space Model: State and Parameter Estimation
Abstract
The maximum likelihood estimation of a dynamic spatiotemporal model is introduced, centred around the inclusion of a prior arbitrary spatiotemporal neighborhood description. The neighborhood description defines a specific parameterization of the state transition matrix, chosen on the basis of prior knowledge about the system. The model used is inspired by the spatiotemporal ARMA (STARMA) model, but the representation used is based on the standard state-space model. The inclusion of the neighborhood into an expectation-maximization based joint state and parameter estimation algorithm allows for accurate characterization of the spatiotemporal model. The process of including the neighborhood, and the effect it has on the maximum likelihood parameter estimate is described and demonstrated in this paper.
Year
DOI
Venue
2007
10.1109/TSP.2007.896245
IEEE Transactions on Signal Processing
Keywords
Field
DocType
maximum likelihood estimation,parameter estimation,parameter estimation algorithm,standard state-space model,maximum likelihood parameter estimate,spatiotemporal model,dynamic spatiotemporal model,canonical space-time state space,joint state,neighborhood description,prior arbitrary spatiotemporal neighborhood,spatiotemporal arma,maximum likelihood,estimation,maximum likelihood estimate,expectation maximization,construction industry,time series analysis,correlation,expectation maximization algorithm,state space model,em algorithm,state space,space time,state transition
Space time,Autoregressive–moving-average model,Mathematical optimization,Stochastic matrix,Expectation–maximization algorithm,State-space representation,State-transition matrix,Estimation theory,State space,Mathematics
Journal
Volume
Issue
ISSN
55
10
1053-587X
Citations 
PageRank 
References 
2
0.46
2
Authors
2
Name
Order
Citations
PageRank
M. Dewar1643.76
V. Kadirkamanathan235539.25