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Volumn 61, Issue 1, 1996, Pages 129-145

An extension of Shannon-McMillan theorem and some limit properties for nonhomogeneous Markov chains

Author keywords

Almost everywhere convergence; Limit theorem; Nonhomogeneous Markov chains; Relative entropy density; Shannon McMillan theorem

Indexed keywords


EID: 0029690375     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/0304-4149(95)00068-2     Document Type: Article
Times cited : (55)

References (9)
  • 1
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    • (1985) Ann. Probab. , vol.13 , pp. 1292-1303
    • Barron, A.R.1
  • 3
    • 0001531440 scopus 로고
    • The individual ergodic theorem of information theory
    • L. Breiman, The individual ergodic theorem of information theory, Ann. Math. Statist. 28 (1957) 809-811.
    • (1957) Ann. Math. Statist. , vol.28 , pp. 809-811
    • Breiman, L.1
  • 4
    • 0000931548 scopus 로고
    • The ergodic theorem of information theory
    • K.L. Chung, The ergodic theorem of information theory, Ann. Math. Statist. 32 (1961) 612-614.
    • (1961) Ann. Math. Statist. , vol.32 , pp. 612-614
    • Chung, K.L.1
  • 5
    • 0002100943 scopus 로고
    • A new basic theory of information theory
    • A. Feinstein, A new basic theory of information theory. IRE Trans. PGIT-4 (1954) 2-22.
    • (1954) IRE Trans. PGIT-4 , pp. 2-22
    • Feinstein, A.1
  • 6
    • 84972553299 scopus 로고
    • A simple proof of the Moy-Perez generalization of the Shannon-McMillan theorem
    • J.C. Kiefer, A simple proof of the Moy-Perez generalization of the Shannon-McMillan theorem, Pacific J. Math. 51 (1974) 203-204.
    • (1974) Pacific J. Math. , vol.51 , pp. 203-204
    • Kiefer, J.C.1
  • 7
    • 0001413858 scopus 로고
    • The basic theorems of information theory
    • B. McMillan, The basic theorems of information theory, Ann. Math. Statist. 24 (1953) 196-219.
    • (1953) Ann. Math. Statist. , vol.24 , pp. 196-219
    • McMillan, B.1
  • 8
    • 84856043672 scopus 로고
    • A mathematical theory of communication
    • C. Shannon, A mathematical theory of communication, Bell System Tech. J. 27 (1948) 379-423, 623-656.
    • (1948) Bell System Tech. J. , vol.27 , pp. 379-423
    • Shannon, C.1
  • 9
    • 0000271489 scopus 로고
    • Relative entropy densities and a class of limit theorems of the sequence of m-valued random variables
    • L. Wen, Relative entropy densities and a class of limit theorems of the sequence of m-valued random variables, Ann. Probab. 18 (1990) 829-839.
    • (1990) Ann. Probab. , vol.18 , pp. 829-839
    • Wen, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.