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Volumn 182, Issue 2, 2003, Pages 73-94

Predicting a binary sequence almost as well as the optimal biased coin

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; OPTIMIZATION; PREDICTIVE CONTROL SYSTEMS; PROBABILITY;

EID: 0037959556     PISSN: 08905401     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0890-5401(02)00033-0     Document Type: Article
Times cited : (9)

References (42)
  • 2
    • 0032183995 scopus 로고    scopus 로고
    • The minimum description length principle in coding and modeling
    • A. Barron, J. Rissanen, B. Yu, The minimum description length principle in coding and modeling, IEEE Trans. Inform. Theory 44 (6) (1998) 2743-2760; Inform. Theory: 1948-1998.
    • (1998) IEEE Trans. Inform. Theory , vol.44 , Issue.6 , pp. 2743-2760
    • Barron, A.1    Rissanen, J.2    Yu, B.3
  • 3
    • 0032183995 scopus 로고    scopus 로고
    • A. Barron, J. Rissanen, B. Yu, The minimum description length principle in coding and modeling, IEEE Trans. Inform. Theory 44 (6) (1998) 2743-2760; Inform. Theory: 1948-1998.
    • Inform. Theory: 1948-1998
  • 4
    • 0002183088 scopus 로고
    • Reference posterior distributions for Bayesian inference
    • J.M. Bernardo, Reference posterior distributions for Bayesian inference, J. Roy. Stat. Soc. B. 41 (1979) 113-147.
    • (1979) J. Roy. Stat. Soc. B. , vol.41 , pp. 113-147
    • Bernardo, J.M.1
  • 5
    • 84972545864 scopus 로고
    • An analog of the minimax theorem for vector payoffs
    • D. Blackwell, An analog of the minimax theorem for vector payoffs, Pacific J. Math. 6 (1) (1956) 1-8.
    • (1956) Pacific J. Math. , vol.6 , Issue.1 , pp. 1-8
    • Blackwell, D.1
  • 8
    • 0033234631 scopus 로고    scopus 로고
    • On prediction of individual sequences
    • N. Cesa-Bianchi, G. Lugosi, On prediction of individual sequences, Ann. Stat. 27 (6) (1999) 1865-1895.
    • (1999) Ann. Stat. , vol.27 , Issue.6 , pp. 1865-1895
    • Cesa-Bianchi, N.1    Lugosi, G.2
  • 9
    • 0002138061 scopus 로고
    • Jeffrey's prior is asymptotically least favorable under entropic risk
    • B.S. Clarke, A.R. Barron, Jeffrey's prior is asymptotically least favorable under entropic risk, J. Stat. Planning Inference 41 (1994) 37-60.
    • (1994) J. Stat. Planning Inference , vol.41 , pp. 37-60
    • Clarke, B.S.1    Barron, A.R.2
  • 12
    • 84986753988 scopus 로고
    • Universal portfolios
    • T.M. Cover, Universal portfolios, Math. Finance 1 (1) (1991) 1-29.
    • (1991) Math. Finance , vol.1 , Issue.1 , pp. 1-29
    • Cover, T.M.1
  • 14
    • 0037826032 scopus 로고
    • A good introduction to Laplace Method and the Saddle Point method for approximating integrals
    • Dover, New York
    • N.G. de Buijn, Asymptotic Methods in Analysis. Dover, New York, 1958, 1981. A good introduction to Laplace Method and the Saddle Point method for approximating integrals.
    • (1958) Asymptotic Methods in Analysis
    • De Buijn, N.G.1
  • 17
    • 0000349751 scopus 로고
    • Prediction in the worst case
    • D.P. Foster, Prediction in the worst case, Ann. Stat. 19 (2) (1991) 1084-1090.
    • (1991) Ann. Stat. , vol.19 , Issue.2 , pp. 1084-1090
    • Foster, D.P.1
  • 18
    • 0002476325 scopus 로고    scopus 로고
    • Regret in the on-line decision problem
    • Learning in games: a symposium in honor of David Blackwell
    • D.P. Foster, R. Vohra, Regret in the on-line decision problem. Games Econ. Behavior 29 (1-2) (1999) 7-35, Learning in games: a symposium in honor of David Blackwell.
    • (1999) Games Econ. Behavior , vol.29 , Issue.1-2 , pp. 7-35
    • Foster, D.P.1    Vohra, R.2
  • 20
    • 0001976283 scopus 로고
    • Approximation to Bayes risk in repeated play
    • M. Dresher, A.W. Tucker, P. Wolfe (Eds.), Princeton University Press, Princeton, NJ
    • J. Hannan, Approximation to Bayes risk in repeated play, in: M. Dresher, A.W. Tucker, P. Wolfe (Eds.), Contributions to the Theory of Games, vol. III, Princeton University Press, Princeton, NJ, 1957, pp. 97-139.
    • (1957) Contributions to the Theory of Games , vol.3 , pp. 97-139
    • Hannan, J.1
  • 21
    • 0000908510 scopus 로고    scopus 로고
    • A simple adaptive procedure leading to correlated equilibrium
    • S. Hart, A. Mas-Colell, A simple adaptive procedure leading to correlated equilibrium, Econometrica 68 (5) (2000) 1127-1150.
    • (2000) Econometrica , vol.68 , Issue.5 , pp. 1127-1150
    • Hart, S.1    Mas-Colell, A.2
  • 22
    • 0031190750 scopus 로고    scopus 로고
    • A general minimax result for relative entropy
    • D. Haussler, A general minimax result for relative entropy, IEEE Trans. Inform. Theory 43 (4) (1997) 1276-1280.
    • (1997) IEEE Trans. Inform. Theory , vol.43 , Issue.4 , pp. 1276-1280
    • Haussler, D.1
  • 27
  • 31
    • 0029777083 scopus 로고    scopus 로고
    • Fisher information and stochastic complexity
    • J.J. Rissanen, Fisher information and stochastic complexity, IEEE Trans. Inform. Theory 42 (1) (1996) 40-47.
    • (1996) IEEE Trans. Inform. Theory , vol.42 , Issue.1 , pp. 40-47
    • Rissanen, J.J.1
  • 32
    • 0023380770 scopus 로고
    • Universal sequential coding of single messages
    • Y.M. Shtar'kov, Universal sequential coding of single messages, Problems Inform. Transmission (Trans. Russian) 23 (July-September) (1987) 175-186.
    • (1987) Problems Inform. Transmission (Trans. Russian) , vol.23 , Issue.JULY-SEPTEMBER , pp. 175-186
    • Shtar'kov, Y.M.1
  • 33
    • 0001913270 scopus 로고
    • Coding of descrete sources with unknown statistics
    • I. Csiszar, P. Elias (Eds.), North-Holland, Amsterdam
    • Yu.M. Shtarkov, Coding of descrete sources with unknown statistics, in: I. Csiszar, P. Elias (Eds.), Topics in Information Theory, North-Holland, Amsterdam, 1975, pp. 559-574.
    • (1975) Topics in Information Theory , pp. 559-574
    • Shtarkov, Yu.M.1
  • 34
    • 0029504908 scopus 로고
    • Some notes on universal noiseless coding
    • J. Suzuki, Some notes on universal noiseless coding, IEICE Trans. Fundam. E78-A (12) (1995).
    • (1995) IEICE Trans. Fundam. , vol.E78-A , Issue.12
    • Suzuki, J.1
  • 35
    • 0032047115 scopus 로고    scopus 로고
    • A game of prediction with expert advice
    • V.G. Vovk, A game of prediction with expert advice, J. Comp. Syst. Sci, 56 (2) (1998) 153-173.
    • (1998) J. Comp. Syst. Sci. , vol.56 , Issue.2 , pp. 153-173
    • Vovk, V.G.1
  • 39
    • 0031103966 scopus 로고    scopus 로고
    • Minimax redundancy for the class of memoryless sources
    • Q. Xie, A. Barron, Minimax redundancy for the class of memoryless sources, IEEE Trans. Inform. Theory 43 (1997) 446-657.
    • (1997) IEEE Trans. Inform. Theory , vol.43 , pp. 446-657
    • Xie, Q.1    Barron, A.2
  • 40
    • 0033901631 scopus 로고    scopus 로고
    • Asymptotic minimax regret for data compression, gambling, and prediction
    • Q. Xie, A.R. Barron, Asymptotic minimax regret for data compression, gambling, and prediction, IEEE Trans. Inform. Theory 46 (2) (2000) 431-445.
    • (2000) IEEE Trans. Inform. Theory , vol.46 , Issue.2 , pp. 431-445
    • Xie, Q.1    Barron, A.R.2
  • 41
    • 0032121805 scopus 로고    scopus 로고
    • A decision-theoretic extension of stochastic complexity and its applications to learning
    • K. Yamanishi, A decision-theoretic extension of stochastic complexity and its applications to learning, IEEE Trans. Inform. Theory 44 (4) (1998) 1424-1439.
    • (1998) IEEE Trans. Inform. Theory , vol.44 , Issue.4 , pp. 1424-1439
    • Yamanishi, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.