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Empirical bayes approach to parameter identification in linear stochastic difference equations 

Authors: H. Bunke a; J. Gladitz a
Affiliation:   a Zentralinstitut fur Mathematik und Mechanik, AdW der DDR, Berlin
DOI: 10.1080/02331887908801468
Publication Frequency: 6 issues per year
Published in: journal Statistics, Volume 10, Issue 1 1979 , pages 63 - 78
Formats available: PDF (English)
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Abstract

Empirical Bayesian parameter estimators and predictors for linear stochastic difference equations are constructed and discussed. Some properties as consistency and asymptotic optimality are investigated. The given methods are illustrated by the example of a univariate first order autoregressive process.
Keywords: Linear model; Linear stochastic difference equations; Empirical Bayesian estimation; Prediction; Asymptotic optimality; First order autoregressive process
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