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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 ...
Nalini Ravishanker   +2 more
exaly   +3 more sources

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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The Misspecification of Arma Models

Statistica Neerlandica, 1989
The object of this paper is to assess the effects of fitting a model of the wrong order to a time series which is generated by an autoregressive moving–average process. The method is to examine the spectral density functions which are indicated by the probability limits of the least–squares estimators of the misspecified models.
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ARMA-models and their equivalences

International Journal of Control, 2009
The classical theory of ‘strict system equivalence’ of Rosenbrock and Fuhrmann is presented in a very general setting, namely, in the setting of ARMA-models defined over an arbitrary commutative ring.
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ON EMBEDDING A DISCRETE‐PARAMETER ARMA MODEL IN A CONTINUOUS‐PARAMETER ARMA MODEL

Journal of Time Series Analysis, 1989
Abstract. It is shown that a real‐valued discrete‐parameter Gaussian ARMA (p. q) model with q < p can be embedded in a real‐valued continuous‐parameter Gaussian ARMA(p', q') model with q' < p'. The problem of embedding a real‐valued discrete‐parameter Gaussian AR(p) into a real‐valued continuous‐parameter Gaussian AR(p) is also discussed.
He, S. W., Wang, J. G.
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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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ARMA Model for Revenue Prediction

Proceedings of the 11th International Conference on Advances in Information Technology, 2020
For every country in over the world, tax revenues appear to be the main engines contributing to the growth momentum. The prediction of tax revenues is one of the main challenges of the Myanmar Internal Revenue Department. It is not easy to get an accurate prediction of the tax revenues of the coming financial year.
Thura Zaw, Swe Swe Kyaw, Aung Nway Oo
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Nonlinear H-ARMA models

Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181), 2002
We present some aspects of non-Gaussian H-ARMA models. After recalling that an H-ARMA process is obtained by passing an ARMA process through a Hermite polynomial nonlinearity, we describe the theoretical analysis of their cumulants and cumulant spectra. The main advantage of this kind of model is that the cumulant structure of the output can be deduced
David Declercq, Patrick Duvaut
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A NOTE ON EMBEDDING A DISCRETE PARAMETER ARMA MODEL IN A CONTINUOUS PARAMETER ARMA MODEL

Journal of Time Series Analysis, 1987
Abstract. We have shown that it is not always possible to embed a real‐valued discrete parameter Gaussian AR(1) model in a real‐valued continuous parameter Gaussian AR(1). The problem with general ARMA models is also discussed.
K S Chan
exaly   +2 more sources

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