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Volumn 49, Issue 3, 2000, Pages 245-250

Strong law of large numbers for Markov chains field on a Bethe tree

Author keywords

60F15; Bethe tree; Markov chains field; Primary 60J10; Random field; Strong law of large numbers

Indexed keywords


EID: 0013525468     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(00)00053-5     Document Type: Article
Times cited : (31)

References (6)
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    • Markov chains indexed by trees
    • Benjamini I., Peres Y. Markov chains indexed by trees. Ann. Probab. 22:1994;219-243.
    • (1994) Ann. Probab. , vol.22 , pp. 219-243
    • Benjamini, I.1    Peres, Y.2
  • 2
    • 0025485667 scopus 로고
    • Entropic aspects of random fields on trees
    • Berger T., Ye Z. Entropic aspects of random fields on trees. IEEE Trans. Inform. Theory. 36(5):1990;1006-1018.
    • (1990) IEEE Trans. Inform. Theory , vol.36 , Issue.5 , pp. 1006-1018
    • Berger, T.1    Ye, Z.2
  • 3
    • 0013465484 scopus 로고
    • A limit theorem for the entropy density of nonhomogeneous Markov information source
    • Liu W., Yang W.G. A limit theorem for the entropy density of nonhomogeneous Markov information source. Statist. Probab. Lett. 22:1995;295-301.
    • (1995) Statist. Probab. Lett. , vol.22 , pp. 295-301
    • Liu, W.1    Yang, W.G.2
  • 4
    • 0029690375 scopus 로고    scopus 로고
    • An extension of Shannon-McMillan theorem and some limit properties for nonhomogeneous Markov chains
    • Liu W., Yang W.G. An extension of Shannon-McMillan theorem and some limit properties for nonhomogeneous Markov chains. Stochastic. Process. 61:1996;129-146.
    • (1996) Stochastic. Process. , vol.61 , pp. 129-146
    • Liu, W.1    Yang, W.G.2
  • 5
    • 0000318254 scopus 로고
    • Markov random fields on an infinite tree
    • Spitzer F. Markov random fields on an infinite tree. Ann. Probab. 3:1975;387-398.
    • (1975) Ann. Probab. , vol.3 , pp. 387-398
    • Spitzer, F.1
  • 6
    • 0008158709 scopus 로고    scopus 로고
    • Ergodic regularity and asymptotic equipartition property of random fields on trees
    • Ye Z., Berger T. Ergodic regularity and asymptotic equipartition property of random fields on trees. J. Combin. Inform. System Sci. 21(2):1996;157-184.
    • (1996) J. Combin. Inform. System Sci. , vol.21 , Issue.2 , pp. 157-184
    • Ye, Z.1    Berger, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.