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Optimal instrumental variable multistep algorithms for estimation of the AR parameters of an ARMA process. (English) Zbl 0623.93071

From the text: ”The paper presents several mulistep implementations of optimal instrumental variable algorithms for estimating the AR parameters of an ARMA process. These algorithms provide asymptotically efficient estimates of the AR parameters at a modest computational cost. The performance of the proposed algorithms was illustrated by selected numerical examples.”
Reviewer: P.Morettin

MSC:

93E10 Estimation and detection in stochastic control theory
62F12 Asymptotic properties of parametric estimators
62M10 Time series, auto-correlation, regression, etc. in statistics (GARCH)
65C99 Probabilistic methods, stochastic differential equations
68Q25 Analysis of algorithms and problem complexity
93E12 Identification in stochastic control theory
93E25 Computational methods in stochastic control (MSC2010)

Software:

EISPACK
Full Text: DOI