Title
On maximum-likelihood estimation of difference equation parameters
Abstract
The article is prompted by a paper written by Liang, Wilkes and Cadzow (see ibid., vol.41, p. 3003-3009, 1993) which discussed the maximum likelihood (ML) estimation of difference equation parameters in a flawed manner. The correct ML parameter estimate is derived herein by means of a high-level argument based on the invariance principle as well as by a direct calculation. Contrary to what is suggested in the aforementioned paper, all ML-based order estimation procedures (such as AIC or GAIC rules) yield results that do not depend on the normalizing constraint imposed on the parameter vector
Year
DOI
Venue
1995
10.1109/78.403375
IEEE Transactions on Signal Processing
Keywords
Field
DocType
difference equations,maximum likelihood estimation,signal processing,ML parameter estimate,ML-based order estimation,difference equation parameters,direct calculation,invariance principle,maximum-likelihood estimation,normalizing constraint,parameter vector,signal processing
Differential equation,Signal processing,Mathematical optimization,Random variable,Invariance principle,Maximum likelihood,Automatic control,Estimation theory,Control system,Mathematics
Journal
Volume
Issue
ISSN
43
8
1053-587X
Citations 
PageRank 
References 
1
0.35
1
Authors
2
Name
Order
Citations
PageRank
Petre Stoica17959915.30
M. Viberg2917188.13