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Deterministic ARMA Models

1986
This paper deals with the ubiquitous class of linear time-invariant finite dimensional systems. In [1] it has been shown that this is precisely the class of AR systems, that is, the dynamical systems whose behavior is governed by a finite set of autoregressive relations.
NIEUWENHUIS, JW, WILLEMS, JC
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ARMA Model and Wavelet-Based ARMA Model Application

Applied Mechanics and Materials, 2011
This article discusses some of the linear regression model from the modeling theory, focusing on the modeling method of selecting the optimal model, choose the best bandwidth criteria. Then, given some of the partial linear regression model from the estimates and the partial residual nuclear smooth estimates, and estimate the model using the partial ...
Wei Wei, Hao Ma
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DIFFERENTIAL GEOMETRY OF ARMA MODELS

Journal of Time Series Analysis, 1990
Abstract.A general approach for the development of a statistical inference on autoregressive moving‐average (ARMA) models is presented based on geometric arguments. ARMA models are characterized as members of the curved exponential family. Geometric properties of ARMA models are computed and used to suggest parameter transformations that satisfy ...
Ravishanker, Nalini   +2 more
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ESTIMATION OF SPATIAL ARMA MODELS

Australian Journal of Statistics, 1992
SummarySpatial ARMA models are considered using the nonsymmetric half plane ordering on a lattice of data. A method is given for the estimation of the orders and the coefficients of such models under an identifiability condition and the condition that the beat linear predictor is the best predictor in the mean square sense.
Huang, D., Anh, V. V.
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ARMA Modeling of Time Series

IEEE Transactions on Pattern Analysis and Machine Intelligence, 1982
A method for efficiently generating a rational model of a wide-sense stationary time series is presented. In this method the autoregressive parameters associated with an ARMA model consisting of q zeros and p poles are optimally chosen with the selection being based on a finite set of time series observations.
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