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Volumn 51, Issue 4, 2005, Pages 1496-1497

Order estimation of Markov chains

Author keywords

Markov chains; Order estimation; Stationary processes

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; PARAMETER ESTIMATION; PROBABILITY; THEOREM PROVING;

EID: 17644396340     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2005.844093     Document Type: Article
Times cited : (24)

References (10)
  • 1
    • 0003713612 scopus 로고
    • "Sequential schemes for classifying and predicting ergodic processes"
    • Ph. D. dissertation, Stanford Univ., Stanford. CA
    • D.H. Bailey, "Sequential schemes for classifying and predicting ergodic processes." Ph. D. dissertation, Stanford Univ., Stanford. CA. 1976.
    • (1976)
    • Bailey, D.H.1
  • 2
    • 0034343421 scopus 로고    scopus 로고
    • "The consistency of the BIC Markov order estimator"
    • I. Csiszár and P. Shields. "The consistency of the BIC Markov order estimator." Ann. Stat., vol. 28, pp. 1601-1619, 2000.
    • (2000) Ann. Stat. , vol.28 , pp. 1601-1619
    • Csiszár, I.1    Shields, P.2
  • 3
    • 0036611605 scopus 로고    scopus 로고
    • "Large-scale typicality of Markov sample paths and consistency of MDL order estimators"
    • I. Csiszár. "Large-scale typicality of Markov sample paths and consistency of MDL order estimators." IEEE Trans. Inf. Theory, vol. 48, no. 6, pp. 1616-1628, Jun. 2002.
    • (2002) IEEE Trans. Inf. Theory , vol.48 , Issue.6 , pp. 1616-1628
    • Csiszár, I.1
  • 5
    • 84947403595 scopus 로고
    • "Probability inequalities for sums of bounded random variables"
    • W. Hoeffding, "Probability inequalities for sums of bounded random variables," J. the Amer. Statist. Assoc., vol. 58, pp. 13-30, 1963.
    • (1963) J. the Amer. Statist. Assoc. , vol.58 , pp. 13-30
    • Hoeffding, W.1
  • 6
    • 0032073870 scopus 로고    scopus 로고
    • "Nonparametric entropy estimation for stationary processes and random fields, with application to English text"
    • May
    • I. Kontoyiannis, P. Algoet, Y. M. Suhov, and A. J. Wyner, "Nonparametric entropy estimation for stationary processes and random fields, with application to English text," IEEE Trans. Inf. Theory vol. 44, no. 3, pp. 1319-1327, May 1998.
    • (1998) IEEE Trans. Inf. Theory , vol.44 , Issue.3 , pp. 1319-1327
    • Kontoyiannis, I.1    Algoet, P.2    Suhov, Y.M.3    Wyner, A.J.4
  • 7
    • 0000486749 scopus 로고
    • "How sampling reveals a process"
    • D. S. Ornstein and B. Weiss, "How sampling reveals a process," Ann. Probab., vol. 18, pp. 905-930, 1990.
    • (1990) Ann. Probab. , vol.18 , pp. 905-930
    • Ornstein, D.S.1    Weiss, B.2
  • 8
    • 0027266419 scopus 로고
    • "Entropy and data compression schemes"
    • Jan
    • D. S. Ornstein and B. Weiss, "Entropy and data compression schemes," IEEE Trans. Inf. Theory, vol. 39, no. 1, pp. 78-83, Jan. 1993.
    • (1993) IEEE Trans. Inf. Theory , vol.39 , Issue.1 , pp. 78-83
    • Ornstein, D.S.1    Weiss, B.2
  • 9
    • 0036612006 scopus 로고    scopus 로고
    • Ṅtropy and recurrence rates for stationary random fields"
    • Jun
    • D. S. Ornstein and B. Weiss, Ṅtropy and recurrence rates for stationary random fields," IEEE Trans. Inf. Theory, vol. 48, no. 6, pp. 1694-1697, Jun. 2002.
    • (2002) IEEE Trans. Inf. Theory , vol.48 , Issue.6 , pp. 1694-1697
    • Ornstein, D.S.1    Weiss, B.2
  • 10
    • 0017996424 scopus 로고
    • "Coding theorems for individual sequences"
    • Jul
    • J. Ziv, "Coding theorems for individual sequences," IEEE Trans. Inf. Theory, vol. IT-24, no. 4, pp. 405-412, Jul. 1978.
    • (1978) IEEE Trans. Inf. Theory , vol.IT-24 , Issue.4 , pp. 405-412
    • Ziv, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.