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ESTIMATION OF THE MULTIVARIATE AUTOREGRESSIVE MOVING AVERAGE HAVING PARAMETER RESTRICTIONS AND AN APPLICATION TO ROTATIONAL SAMPLING

Title
ESTIMATION OF THE MULTIVARIATE AUTOREGRESSIVE MOVING AVERAGE HAVING PARAMETER RESTRICTIONS AND AN APPLICATION TO ROTATIONAL SAMPLING
Authors
Shin D.W.Sarkar S.
Ewha Authors
신동완
SCOPUS Author ID
신동완scopus
Issue Date
1995
Journal Title
Journal of Time Series Analysis
ISSN
0143-9782JCR Link
Citation
vol. 16, no. 4, pp. 431 - 444
Keywords
ARMAXNewton‐Raphson estimationrestricted maximum likelihood estimationrotational samplingvector autoregressive moving average
Indexed
SCI; SCIE; SCOPUS scopus
Abstract
Abstract. The vector autoregressive moving average model with nonlinear parametric restrictions is considered. A simple and easy‐to‐compute Newton‐Raphson estimator is proposed that approximates the restricted maximum likelihood estimator which takes full advantage of the information contained in the restrictions. In the case when there are no parametric restrictions, our Newton‐Raphson estimator is equivalent to the estimator proposed by Reinsel et al. (Maximum likelihood estimators in the multivariate autoregressive moving‐average model from a generalized least squares view point. J. Time Ser. Anal. 13 (1992), 133–45). The Newton‐Raphson estimation procedure also extends to the vector ARMAX model. Application of our Newton‐Raphson estimation method in rotational sampling problems is discussed. Simulation results are presented for two different restricted models to illustrate the estimation procedure and compare its performance with that of two alternative procedures that ignore the parametric restrictions. Copyright © 1995, Wiley Blackwell. All rights reserved
DOI
10.1111/j.1467-9892.1995.tb00244.x
Appears in Collections:
자연과학대학 > 통계학전공 > Journal papers
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