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Volumn 136, Issue 6, 2006, Pages 1853-1874

A randomly reinforced urn

Author keywords

Asymptotic exchangeability; Gambling theory; Reinforced processes; Sequential clinical trials; Two armed bandit problems; Urn schemes

Indexed keywords


EID: 32044461620     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2005.08.009     Document Type: Article
Times cited : (36)

References (25)
  • 1
    • 0000363076 scopus 로고
    • Exchangeability and related topics
    • École d'été de probabilités de Saint-Flour, XIII-1983. Springer, Berlin
    • Aldous, D.J., 1985. Exchangeability and related topics. In: École d'été de probabilités de Saint-Flour, XIII-1983. Lecture Notes in Mathematics, vol. 1117. Springer, Berlin, pp. 1-198.
    • (1985) Lecture Notes in Mathematics , vol.1117 , pp. 1-198
    • Aldous, D.J.1
  • 2
    • 0001625953 scopus 로고
    • Embedding of urn schemes into continuous times Markov branching processes and related limit theorems
    • K.B. Athreya S. Karlin Embedding of urn schemes into continuous times Markov branching processes and related limit theorems Ann. Math. Statist. 39 1968 1801-1817
    • (1968) Ann. Math. Statist. , vol.39 , pp. 1801-1817
    • Athreya, K.B.1    Karlin, S.2
  • 3
    • 16244410118 scopus 로고    scopus 로고
    • On the convergence of reinforced learning
    • Beggs, A.W., 2005. On the convergence of reinforced learning. J. Econom. Theory, 122 (1), 1-36.
    • (2005) J. Econom. Theory , vol.122 , Issue.1 , pp. 1-36
    • Beggs, A.W.1
  • 5
    • 32044453286 scopus 로고
    • Two-armed Dirichlet bandits with discounting
    • M.K. Chattopadhyay Two-armed Dirichlet bandits with discounting Ann. Statist. 22 3 1994 1212-1221
    • (1994) Ann. Statist. , vol.22 , Issue.3 , pp. 1212-1221
    • Chattopadhyay, M.K.1
  • 6
    • 0006898953 scopus 로고
    • Bayesian nonparametric bandits
    • M.K. Clayton D.A. Berry Bayesian nonparametric bandits Ann. Statist. 13 4 1985 1523-1534
    • (1985) Ann. Statist. , vol.13 , Issue.4 , pp. 1523-1534
    • Clayton, M.K.1    Berry, D.A.2
  • 8
    • 0032162330 scopus 로고    scopus 로고
    • A sequential design for maximizing the probability of a response
    • S.C. Durham N. Flournoy W. Li A sequential design for maximizing the probability of a response Canad. J. Statist. 26 3 1998 479-495
    • (1998) Canad. J. Statist. , vol.26 , Issue.3 , pp. 479-495
    • Durham, S.C.1    Flournoy, N.2    Li, W.3
  • 9
    • 0001120413 scopus 로고
    • A Bayesian analysis of some nonparametric problems
    • T.S. Ferguson A Bayesian analysis of some nonparametric problems Ann. Statist. 1 1973 209-230
    • (1973) Ann. Statist. , vol.1 , pp. 209-230
    • Ferguson, T.S.1
  • 10
    • 0000559084 scopus 로고
    • A strong law for some generalized urn processes
    • B.M. Hill D. Lane W. Sudderth A strong law for some generalized urn processes Ann. Probab. 8 2 1980 214-226
    • (1980) Ann. Probab. , vol.8 , Issue.2 , pp. 214-226
    • Hill, B.M.1    Lane, D.2    Sudderth, W.3
  • 11
    • 0008941781 scopus 로고
    • Exchangeable urn processes
    • B.M. Hill D. Lane W. Sudderth Exchangeable urn processes Ann. Probab. 15 4 1987 1586-1592
    • (1987) Ann. Probab. , vol.15 , Issue.4 , pp. 1586-1592
    • Hill, B.M.1    Lane, D.2    Sudderth, W.3
  • 12
    • 32044433007 scopus 로고    scopus 로고
    • Attainability of boundary points under reinforcement learning
    • IDEAS, Department of Economics of the University of Connecticut, preprint
    • Hopkins, E., Posch, M., 2004. Attainability of boundary points under reinforcement learning. IDEAS, Department of Economics of the University of Connecticut, preprint.
    • (2004)
    • Hopkins, E.1    Posch, M.2
  • 13
    • 0242510866 scopus 로고    scopus 로고
    • Optimality, variability, power: Evaluating response-adaptive randomization procedures for treatment comparison
    • F. Hu W.F. Rosenberger Optimality, variability, power: Evaluating response-adaptive randomization procedures for treatment comparison J. Amer. Statist. Assoc. 98 463 2003 671-678
    • (2003) J. Amer. Statist. Assoc. , vol.98 , Issue.463 , pp. 671-678
    • Hu, F.1    Rosenberger, W.F.2
  • 14
    • 26844516148 scopus 로고    scopus 로고
    • Asymptotic properties of doubly adaptive coin design for multitreatment clinical trials
    • F. Hu L.X. Zhang Asymptotic properties of doubly adaptive coin design for multitreatment clinical trials Ann. Statist. 32 1 2004 268-301
    • (2004) Ann. Statist. , vol.32 , Issue.1 , pp. 268-301
    • Hu, F.1    Zhang, L.X.2
  • 17
    • 7244245251 scopus 로고    scopus 로고
    • On a two-color generalized Pólya urn
    • Quaderno di Dipartimento n. 505/P, Aprile 2002, Dipartimento di Matematica, Politecnico di Milano
    • May, C., Paganoni, A.M., Secchi, P., 2002. On a two-color generalized Pólya urn. Quaderno di Dipartimento n. 505/P, Aprile 2002, Dipartimento di Matematica, Politecnico di Milano.
    • (2002)
    • May, C.1    Paganoni, A.M.2    Secchi, P.3
  • 18
    • 7444242801 scopus 로고    scopus 로고
    • Interacting reinforced urn systems
    • A.M. Paganoni P. Secchi Interacting reinforced urn systems Adv. in Appl. Probab. 36 3 2004 791-804
    • (2004) Adv. in Appl. Probab. , vol.36 , Issue.3 , pp. 791-804
    • Paganoni, A.M.1    Secchi, P.2
  • 19
    • 0033164053 scopus 로고    scopus 로고
    • Vertex-reinforced random walk on Z has finite range
    • R. Pemantle S. Volkov Vertex-reinforced random walk on Z has finite range Ann. Probab. 27 3 1999 1368-1388
    • (1999) Ann. Probab. , vol.27 , Issue.3 , pp. 1368-1388
    • Pemantle, R.1    Volkov, S.2
  • 20
    • 0242689056 scopus 로고    scopus 로고
    • Randomized urn models and sequential design
    • W.F. Rosenberger Randomized urn models and sequential design Sequential Anal. 21 1&2 2002 1-28
    • (2002) Sequential Anal. , vol.21 , Issue.1-2 , pp. 1-28
    • Rosenberger, W.F.1
  • 22
    • 0013518366 scopus 로고
    • On measurable gambling problems
    • W.D. Sudderth On measurable gambling problems Ann. Math. Stat 42 1971 260-269
    • (1971) Ann. Math. Stat , vol.42 , pp. 260-269
    • Sudderth, W.D.1
  • 23
    • 0031508902 scopus 로고    scopus 로고
    • Beta-Stacy processes and a generalization of the Polya urn scheme
    • S. Walker P. Muliere Beta-Stacy processes and a generalization of the Polya urn scheme Ann. Statist. 25 4 1997 1762-1780
    • (1997) Ann. Statist. , vol.25 , Issue.4 , pp. 1762-1780
    • Walker, S.1    Muliere, P.2
  • 24
    • 32044442029 scopus 로고    scopus 로고
    • Reinforcement and finite exchangeability
    • N. 71 Istituto di Metodi Quantitativi, Università Bocconi, Milano
    • Walker, S.G., Muliere, P., 2003. Reinforcement and finite exchangeability. Studi Statistici, N. 71, Istituto di Metodi Quantitativi, Università Bocconi, Milano.
    • (2003) Studi Statistici
    • Walker, S.G.1    Muliere, P.2
  • 25
    • 0001690519 scopus 로고
    • The generalized Pólya's urn design for sequential medical trials
    • L.J. Wei The generalized Pólya's urn design for sequential medical trials Ann. Statist. 7 2 1979 291-296
    • (1979) Ann. Statist. , vol.7 , Issue.2 , pp. 291-296
    • Wei, L.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.