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Title: Asymptotic theory of parameter estimation for Gauss-Markov random fields (English)
Author: Janžura, Martin
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 24
Issue: 3
Year: 1988
Pages: 161-176
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Category: math
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MSC: 62F12
MSC: 62M10
MSC: 62M99
idZBL: Zbl 0655.62094
idMR: MR953686
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Date available: 2009-09-24T18:05:47Z
Last updated: 2012-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/125357
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Reference: [1] R. L. Dobrushin: Gaussian random fields -- Gibbsian point of view.In: Multicomponent Random Systems (R. L. Dobrushin, Ya. G. Sinai, eds.). M. Dekker, New York 1980, 119-151. Zbl 0499.60046, MR 0599534
Reference: [2] N. Dunford, J. T. Schwartz: Linear Operators, I.Interscience, New York 1958. Zbl 0084.10402
Reference: [3] J. Hájek: Local asymptotic minimax and admissibility in estimation.Proc. 6th Berkeley Symposium, Vol. I (1970), 175-194. MR 0400513
Reference: [4] M. Janžura: Statistical analysis of Gibbs random fields.In: Trans. Tenth Prague Conference, on Inform. Theory, Statist. Dec. Functions, Random Processes. Academia, Prague 1988 (to appear). MR 1136301
Reference: [5] H. Künsch: Thermodynamics and statistical analysis of Gaussian random fields.Z. Wahrsch. verw. Gebiete 58 (1981), 407-421. MR 0639149
Reference: [6] C. R. Rao: Linear Statistical Inference and its Applications.John Wiley and Sons, New York 1983. MR 0346957
Reference: [7] Yu. A. Rozanov: On the Gaussian homogeneous fields with given conditional distributions.Teor. Veroyatnost. i Primenen. 12 (1967), 3, 433-443. In Russian. MR 0221582
Reference: [8] E. M. Stein, G. Weiss: Introduction to Fourier Analysis on Euclidean Spaces.Princeton University Press, Princeton, New Jersey 1971. Zbl 0232.42007, MR 0304972
Reference: [9] L. Weiss, J. Wolfowitz: Maximum Probability Estimators and Related Topics.(Lecture Notes in Math. 424.) Springer-Verlag, Berlin--Heidelberg--New York 1974. Zbl 0297.62015, MR 0359152
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