Combining m -dependence with markovness

František Matus

Annales de l'I.H.P. Probabilités et statistiques (1998)

  • Volume: 34, Issue: 4, page 407-423
  • ISSN: 0246-0203

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Matus, František. "Combining $m$-dependence with markovness." Annales de l'I.H.P. Probabilités et statistiques 34.4 (1998): 407-423. <http://eudml.org/doc/77608>.

@article{Matus1998,
author = {Matus, František},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Markov chains; -dependence; sequences with memory; binary sequences; conditional independence structures},
language = {eng},
number = {4},
pages = {407-423},
publisher = {Gauthier-Villars},
title = {Combining $m$-dependence with markovness},
url = {http://eudml.org/doc/77608},
volume = {34},
year = {1998},
}

TY - JOUR
AU - Matus, František
TI - Combining $m$-dependence with markovness
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1998
PB - Gauthier-Villars
VL - 34
IS - 4
SP - 407
EP - 423
LA - eng
KW - Markov chains; -dependence; sequences with memory; binary sequences; conditional independence structures
UR - http://eudml.org/doc/77608
ER -

References

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  1. [1] Aaronson J., Gilat D. and Keane M.S., On the structure of 1-dependent Markov shifts, J. Theor. Probab. Vol. 5, 1992, pp. 545-561. Zbl0754.60070MR1176437
  2. [2] Burton R.M., Goulet M. and Meester R.W.J., On 1-dependent processes and k-block factors, The Annals of Probability Vol. 21, 1993, pp. 2157-2168. Zbl0788.60049MR1245304
  3. [3] Horn R.A. and Johnson C.R., Matrix Analysis, Cambridge University Press, Cambridge. Zbl0576.15001
  4. [4] Matúš F., Independence and Radon projections on compact groups, PhD. theses (in Slovak), Institute of Information Theory and Automation, Prague, 1988. 
  5. [5] Matúš F., Stochastic independence, algebraic independence and abstract connectedness, Theor. Comp. Science Vol. 134, 1994, pp. 455-471. Zbl0809.60066MR1304673
  6. [6] Matúš F., On two-block-factor sequences and one-dependence, Proc. Amer. Math. Soc. Vol. 14, 1996, pp. 1237-1242. Zbl0843.60036MR1301518
  7. [7] Matúš F., Conditional independence structures examined via minors, Annals of Mathematics and AI Vol. 21, 1997, pp. 99-128. Zbl0888.68097MR1479010
  8. [8] Pearl J., Probabilistic Reasoning in Intelligent Systems, Morgan Kaufman, San Meteo, California, 1988. Zbl0746.68089MR965765
  9. [9] Rosenblatt M. and Slepian D., Nth order Markov chains with every N variables independent, J. Soc. Indust. Appl. Math. Vol. 10, 1962, pp. 537-549. Zbl0154.43103MR150824
  10. [10] Seneta E., Non-Negative Matrices, G. Allen & Unwin Ltd., London, 1973. Zbl0278.15011
  11. [11] Valk V. de, One-dependent processes, PhD. theses, Delft Univ. Technology, Delft Univ. Press, 1988. 
  12. [12] Valk V. de, One-dependent processes: two-block-factors and non-two-block-factors, CWI Tract 85, Amsterdam, 1994. Zbl0834.60036MR1269540

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