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Volumn 33, Issue 1, 1996, Pages 18-27

Large deviations and the Bayesian estimation of higher-order Markov transition functions

Author keywords

Exponential decay; Higher order transition functions; Large deviations; Markov chains; Posterior distributions; Relative entropy

Indexed keywords


EID: 0030535296     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0021900200103687     Document Type: Article
Times cited : (7)

References (8)
  • 1
    • 0000190422 scopus 로고
    • Some asymptotic properties of likelihood ratios on general sample spaces
    • University of California Press, Berkeley
    • BAHADUR, R. R. AND RAGHAVACHARI M. (1972) Some asymptotic properties of likelihood ratios on general sample spaces. Proc. 6th Berkeley Symp. on Mathematical Statistics and Probability. Vol. I. pp. 129-152. University of California Press, Berkeley.
    • (1972) Proc. 6th Berkeley Symp. on Mathematical Statistics and Probability , vol.1 , pp. 129-152
    • Bahadur, R.R.1    Raghavachari, M.2
  • 2
    • 0000489740 scopus 로고
    • Information-type measures of difference of probability distributions and indirect observations
    • CSISZÁR, I. (1967) Information-type measures of difference of probability distributions and indirect observations. Studia Sci. Math. Hungar. 2, 299-318.
    • (1967) Studia Sci. Math. Hungar , vol.2 , pp. 299-318
    • Csiszár, I.1
  • 3
    • 0019590746 scopus 로고
    • The error exponent for the noiseless encoding of finite ergodic Markov sources
    • DAVISSON, L. D., LONGO, G. AND SGARRO, A. (1981) The error exponent for the noiseless encoding of finite ergodic Markov sources. IEEE Trans. Inform. Theory 27, 431-438.
    • (1981) IEEE Trans. Inform. Theory , vol.27 , pp. 431-438
    • Davisson, L.D.1    Longo, G.2    Sgarro, A.3
  • 5
    • 0003171807 scopus 로고
    • On the consistency of Bayes estimates
    • DIACONIS, P. AND FREEDMAN, D. (1986) On the consistency of Bayes estimates. Ann. Statist. 14, 1-67.
    • (1986) Ann. Statist. , vol.14 , pp. 1-67
    • Diaconis, P.1    Freedman, D.2
  • 6
    • 0000982882 scopus 로고
    • Large deviations for the empirical measure of a Markov chain with an application to the multivariate empirical measure
    • ELLIS, R. S. (1988) Large deviations for the empirical measure of a Markov chain with an application to the multivariate empirical measure. Ann. Prob. 16, 1496-1508.
    • (1988) Ann. Prob. , vol.16 , pp. 1496-1508
    • Ellis, R.S.1
  • 7
    • 0000202123 scopus 로고
    • On the asymptotic behaviour of Bayes' estimates in the discrete case
    • FREEDMAN, D. A. (1963) On the asymptotic behaviour of Bayes' estimates in the discrete case. Ann. Math. Statist. 34, 1386-1403.
    • (1963) Ann. Math. Statist. , vol.34 , pp. 1386-1403
    • Freedman, D.A.1
  • 8
    • 0024733038 scopus 로고
    • On the estimation of the order of a Markov chain and universal data compression
    • MERHAV, N., GUTMAN, M. AND ZIV, J. (1989) On the estimation of the order of a Markov chain and universal data compression. IEEE Trans. Inform. Theory 35, 1014-1019.
    • (1989) IEEE Trans. Inform. Theory , vol.35 , pp. 1014-1019
    • Merhav, N.1    Gutman, M.2    Ziv, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.