# Test for submodel in Gibbs-Markov binary random sequence

Kybernetika (1989)

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

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top## How to cite

topJanžura, 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

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

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