Test for submodel in Gibbs-Markov binary random sequence

Martin Janžura

Kybernetika (1989)

  • Volume: 25, Issue: 3, page 200-208
  • ISSN: 0023-5954

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Janžura, Martin. "Test for submodel in Gibbs-Markov binary random sequence." Kybernetika 25.3 (1989): 200-208. <http://eudml.org/doc/28243>.

@article{Janžura1989,
author = {Janžura, Martin},
journal = {Kybernetika},
keywords = {Gibbsian description; Gibbs-Markov random sequences; numerical example with simulated data},
language = {eng},
number = {3},
pages = {200-208},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Test for submodel in Gibbs-Markov binary random sequence},
url = {http://eudml.org/doc/28243},
volume = {25},
year = {1989},
}

TY - JOUR
AU - Janžura, Martin
TI - Test for submodel in Gibbs-Markov binary random sequence
JO - Kybernetika
PY - 1989
PB - Institute of Information Theory and Automation AS CR
VL - 25
IS - 3
SP - 200
EP - 208
LA - eng
KW - Gibbsian description; Gibbs-Markov random sequences; numerical example with simulated data
UR - http://eudml.org/doc/28243
ER -

References

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  1. Y. M. M. Bishop S. E. Fienberg, P. W. Holland, Discrete Multivariate Analysis: Theory and Practice, MIT Press, Cambridge, Mass. 1975. (1975) MR0381130
  2. R. L. Dobrushin, Conditions of absence of phase transitions for one-dimensional classical model, Mat. Sbornik 93 (1974), 29-49. In Russian. (1974) MR0386568
  3. R. L. Dobrushin, B. S. Nahapetian, Strong convexity of the pressure for lattice systems of classical statistical physics, Teoret. Mat. Fiz. 20 (1974), 223-234. In Russian. (1974) MR0468967
  4. I. Ekeland, R. Temam, Convex Analysis and Variational Problems, North-Holland, Amsterdam 1976. (1976) Zbl0322.90046MR0463994
  5. M. Janžura, Estimating interactions in binary data sequences, Kybernetika 22 (1986), 277-284. (1986) MR0871600
  6. M. Janžura, Estimating interactions in binary lattice data with nearest-neighbor property, Kybernetika 23 (1987), 136-142. (1987) MR0886826
  7. H. Künsch, Decay of correlations under Dobrushin's uniqueness condition and its applications, Commun. Math. Phys. 84 (1982), 207-222. (1982) Zbl0495.60097MR0661133
  8. C. Preston, Random Fields, Lecture Notes in Mathematics 534. Springer-Verlag, Berlin--Heidelberg--New York 1976. (1976) Zbl0335.60074MR0448630
  9. C. R. Rao, Linear Statistical Inference and its Applications, John Wiley and Sons, New York 1973. (1973) Zbl0256.62002MR0346957
  10. D. Ruelle, Statistical Mechanics. Rigorous Results, Benjamin, New York 1969. (1969) Zbl0177.57301MR0289084

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