Divergences of Gauss-Markov random fields with application to statistical inference. (English) Zbl 0664.62086

In addition to the previous asymptotic theory of parameter estimation [cf. the author, ibid. 24, No.3, 161-176 (1988; Zbl 0655.62094)] further asymptotic properties of Gauss-Markov random fields are studied in the present paper. Explicit formulas for the entropy rate, the I- divergence,and the \(\alpha\)-divergence are obtained. Applications to parameter estimation and hypotheses testing are included.


62M05 Markov processes: estimation; hidden Markov models
62M99 Inference from stochastic processes
62F12 Asymptotic properties of parametric estimators
60G60 Random fields
62F03 Parametric hypothesis testing


Zbl 0655.62094
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