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Parameter Estimation for p-Order Random Coefficient Autoregressive (RCA) Models Based on Kalman Filter

تقدير المتغير لنماذج معامل الانحدار الذاتي العشوائي (RCA) بناءً على مرشح كالمان
Authors: Mohammed Benmoumen; Jelloul Allal; Imane Salhi;

Parameter Estimation for p-Order Random Coefficient Autoregressive (RCA) Models Based on Kalman Filter

Abstract

In this paper we elaborate an algorithm to estimate p-order Random Coefficient Autoregressive Model (RCA(p)) parameters. This algorithm combines quasi-maximum likelihood method, the Kalman filter, and the simulated annealing method. In the aim to generalize the results found for RCA(1), we have integrated a subalgorithm which calculate the theoretical autocorrelation. Simulation results demonstrate that the algorithm is viable and promising.

Keywords

Function Approximation, Backpropagation Learning, Particle Filtering and Nonlinear Estimation Methods, Kalman Filters, Autoregressive model, Simulated annealing, Inference from stochastic processes and prediction, Control Systems and Network Applications, Engineering, Artificial Intelligence, QA1-939, FOS: Mathematics, Self-Organizing Maps, Statistics, Nonlinear Estimation, Neural Network Fundamentals and Applications, Applied mathematics, Computer science, Extended Kalman filter, Algorithm, Time series, auto-correlation, regression, etc. in statistics (GARCH), Control and Systems Engineering, Autocorrelation, Computer Science, Physical Sciences, Kalman filter, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
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