| 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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