메뉴 건너뛰기




Volumn 49, Issue 2, 2011, Pages 712-731

Consistency of sequential bayesian sampling policies

Author keywords

Bayesian inference; Design of experiments; Ranking and selection; Sequential design

Indexed keywords

BAYESIAN INFERENCE; BAYESIAN INFORMATION; BAYESIAN SAMPLING; CONSISTENCY RESULT; OPTIMAL COMPUTING BUDGET ALLOCATION; RANKING AND SELECTION; SEQUENTIAL DESIGN; SEQUENTIAL EXPERIMENTAL DESIGN; SEQUENTIAL SAMPLING; SUFFICIENT CONDITIONS;

EID: 79952951436     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/090775026     Document Type: Article
Times cited : (20)

References (34)
  • 3
    • 33751012026 scopus 로고    scopus 로고
    • Optimal sequential exploration: A binary learning model
    • J.E. Bickel and J.E. Smith, Optimal sequential exploration: A binary learning model, Decision Anal., 14 (2006), pp. 16-32.
    • (2006) Decision Anal. , vol.14 , pp. 16-32
    • Bickel, J.E.1    Smith, J.E.2
  • 5
    • 0003407041 scopus 로고    scopus 로고
    • 2nd ed. Wiley Ser. Probab. Statist. Probab. Statist., Wiley-Interscience, New York
    • P. Billingsley, Convergence of Probability Measures, 2nd ed., Wiley Ser. Probab. Statist. Probab. Statist., Wiley-Interscience, New York, 1999.
    • (1999) Convergence of Probability Measures
    • Billingsley, P.1
  • 6
    • 0033245903 scopus 로고    scopus 로고
    • On the convergence of the P-algorithm for one-dimensional global optimization of smooth functions
    • J. Calvin and A. Žilinskas, On the convergence of the P-algorithm for one-dimensional global optimization of smooth functions, J. Optim. Theory Appl., 102 (1999), pp. 479-495.
    • (1999) J. Optim. Theory Appl. , vol.102 , pp. 479-495
    • Calvin, J.1    Žilinskas, A.2
  • 7
    • 0029514770 scopus 로고
    • An effective approach to smartly allocate computing budget for discrete event simulation
    • New Orleans, LA
    • C.H. Chen, An effective approach to smartly allocate computing budget for discrete event simulation, in Proceedings of the 34th IEEE Conference on Decision and Control, New Orleans, LA, 1995, pp. 2598-2603.
    • (1995) Proceedings of the 34th IEEE Conference on Decision and Control , pp. 2598-2603
    • Chen, C.H.1
  • 8
    • 0030212017 scopus 로고    scopus 로고
    • A lower bound for the correct subset-selection probability and its application to discrete-event system simulations
    • C.H. Chen, A lower bound for the correct subset-selection probability and its application to discrete-event system simulations, IEEE Trans. Automat. Control, 41 (1996), pp. 1227-1231.
    • (1996) IEEE Trans. Automat. Control , vol.41 , pp. 1227-1231
    • Chen, C.H.1
  • 9
    • 0030387008 scopus 로고    scopus 로고
    • A gradient approach for smartly allocating computing budget for discrete event simulation
    • J.M. Charnes, D.J. Morrice, D.T. Brunner, and J.J. Swain, eds., IEEE, Piscataway, NJ
    • C.H. Chen, L. Dai, and H.C. Chen, A gradient approach for smartly allocating computing budget for discrete event simulation, in Proceedings of the 1996 Winter Simulation Conference, J.M. Charnes, D.J. Morrice, D.T. Brunner, and J.J. Swain, eds., IEEE, Piscataway, NJ, 1996, pp. 398-405.
    • (1996) Proceedings of the 1996 Winter Simulation Conference , pp. 398-405
    • Chen, C.H.1    Dai, L.2    Chen, H.C.3
  • 10
    • 0035460965 scopus 로고    scopus 로고
    • New two-stage and sequential procedures for selecting the best simulated system
    • S.E. Chick and K. Inoue, New two-stage and sequential procedures for selecting the best simulated system, Oper. Res., 49 (2001), pp. 732-743. (Pubitemid 34011324)
    • (2001) Operations Research , vol.49 , Issue.5 , pp. 732-743
    • Chick, S.E.1    Inoue, K.2
  • 11
    • 84950437532 scopus 로고
    • Bayesian prediction of deterministic functions, with applications to the design and analysis of computer experiments
    • C. Currin, T. Mitchell, M. Morris, and D. Ylvisaker, Bayesian prediction of deterministic functions, with applications to the design and analysis of computer experiments, J. Amer. Statist. Assoc., 86 (1991), pp. 953-963.
    • (1991) J. Amer. Statist. Assoc. , vol.86 , pp. 953-963
    • Currin, C.1    Mitchell, T.2    Morris, M.3    Ylvisaker, D.4
  • 13
    • 0000009450 scopus 로고
    • Sequential search of an optimal dosage. I
    • B.H. Eichhorn and S. Zacks, Sequential search of an optimal dosage, I, J. Amer. Statist. Assoc., 68 (1973), pp. 594-598.
    • (1973) J. Amer. Statist. Assoc. , vol.68 , pp. 594-598
    • Eichhorn, B.H.1    Zacks, S.2
  • 15
    • 60749102402 scopus 로고    scopus 로고
    • The knowledge-gradient stopping rule for ranking and selection
    • IEEE, Piscataway, NJ
    • P. Frazier andW.B. Powell, The knowledge-gradient stopping rule for ranking and selection, in Proceedings of the 2008 Winter Simulation Conference, IEEE, Piscataway, NJ, 2008, pp. 305-312.
    • (2008) Proceedings of the 2008 Winter Simulation Conference , pp. 305-312
    • Frazier, P.1    Powell, W.B.2
  • 16
    • 55549135706 scopus 로고    scopus 로고
    • A knowledge-gradient policy for sequential information collection
    • P. Frazier, W.B. Powell, and S. Dayanik, A knowledge-gradient policy for sequential information collection, SIAM J. Control Optim., 47 (2008), pp. 2410-2439.
    • (2008) SIAM J. Control Optim. , vol.47 , pp. 2410-2439
    • Frazier, P.1    Powell, W.B.2    Dayanik, S.3
  • 17
    • 70449498873 scopus 로고    scopus 로고
    • The knowledge gradient policy for correlated normal beliefs
    • P. Frazier, W.B. Powell, and S. Dayanik, The knowledge gradient policy for correlated normal beliefs, INFORMS J. Comput., 21 (2009), pp. 599-613.
    • (2009) INFORMS J. Comput. , vol.21 , pp. 599-613
    • Frazier, P.1    Powell, W.B.2    Dayanik, S.3
  • 20
    • 17744392866 scopus 로고    scopus 로고
    • A large deviations perspective on ordinal optimization
    • IEEE, Piscataway, NJ
    • P. Glynn and S. Juneja, A large deviations perspective on ordinal optimization, in Proceedings of the 2004 Winter Simulation Conference, IEEE, Piscataway, NJ, 2004, pp. 577-585.
    • (2004) Proceedings of the 2004 Winter Simulation Conference , pp. 577-585
    • Glynn, P.1    Juneja, S.2
  • 21
    • 0030590294 scopus 로고    scopus 로고
    • Bayesian look ahead one-stage sampling allocations for selection of the best population
    • DOI 10.1016/0378-3758(95)00169-7
    • S.S. Gupta and K.J. Miescke, Bayesian look ahead one-stage sampling allocations for selection of the best population, J. Statist. Plann. Inference, 54 (1996), pp. 229-244. (Pubitemid 126161097)
    • (1996) Journal of Statistical Planning and Inference , vol.54 , Issue.2 , pp. 229-244
    • Gupta, S.S.1    Miescke, K.J.2
  • 22
  • 26
    • 0001728144 scopus 로고
    • A versatile stochastic model of a function of unknown and time varying form
    • H. Kushner, A versatile stochastic model of a function of unknown and time varying form, J. Math. Anal. Appl., 5 (1962), pp. 150-167.
    • (1962) J. Math. Anal. Appl. , vol.5 , pp. 150-167
    • Kushner, H.1
  • 27
    • 0002899547 scopus 로고
    • Asymptotically efficient adaptive allocation rules
    • T.L. Lai and H. Robbins, Asymptotically efficient adaptive allocation rules, Adv. in Appl. Math., 6 (1985), pp. 4-22.
    • (1985) Adv. in Appl. Math. , vol.6 , pp. 4-22
    • Lai, T.L.1    Robbins, H.2
  • 28
    • 0001977314 scopus 로고    scopus 로고
    • Bayesian algorithms for one-dimensional global optimization
    • M. Locatelli, Bayesian algorithms for one-dimensional global optimization, J. Global Optim., 10 (1997), pp. 57-76. (Pubitemid 127502305)
    • (1997) Journal of Global Optimization , vol.10 , Issue.1 , pp. 57-76
    • Locatelli, M.1
  • 29
    • 0342813049 scopus 로고
    • The application of Bayesian methods for seeking the extremum
    • L.C.W. Dixon and G.P. Szego, eds., Elsevier Science North-Holland, Amsterdam
    • J. Mockus, V. Tiesis, and A. Zilinskas, The application of Bayesian methods for seeking the extremum, in Towards Global Optimisation, Vol. 2, L.C.W. Dixon and G.P. Szego, eds., Elsevier Science, North-Holland, Amsterdam, 1978, pp. 117-129.
    • (1978) Towards Global Optimisation , vol.2 , pp. 117-129
    • Mockus, J.1    Tiesis, V.2    Zilinskas, A.3
  • 30
    • 0028407533 scopus 로고
    • Control of selective perception using Bayes nets and decision theory
    • R.D. Rimey and C.M. Brown, Control of selective perception using Bayes nets and decision theory, Int. J. Comput. Vis., 12 (1994), pp. 173-207.
    • (1994) Int. J. Comput. Vis. , vol.12 , pp. 173-207
    • Rimey, R.D.1    Brown, C.M.2
  • 31
    • 26944438848 scopus 로고    scopus 로고
    • Ph.D. thesis, Division of Engineering and Applied Sciences, Harvard University, Cambridge, MA
    • W. Ruml, Adaptive Tree Search, Ph.D. thesis, Division of Engineering and Applied Sciences, Harvard University, Cambridge, MA, 2002.
    • (2002) Adaptive Tree Search
    • Ruml, W.1
  • 34
    • 0016416336 scopus 로고
    • Single-step Bayesian search method for an extremum of functions of a single variable
    • A.G. Zilinskas, Single-step Bayesian search method for an extremum of functions of a single variable, Cybernet. Systems Anal., 11 (1975), pp. 160-166.
    • (1975) Cybernet. Systems Anal. , vol.11 , pp. 160-166
    • Zilinskas, A.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.