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Control variate technique: a constructive approach

Published: 07 December 2008 Publication History
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  • Abstract

    The technique of control variates requires that the user identify a set of variates that are correlated with the estimation variable and whose means are known to the user. We relax the known mean requirement and instead assume the means are to be estimated. We argue that this strategy can be beneficial in parametric studies, analyze the properties of controlled estimators, and propose a class of generic and effective controls in a parametric estimation setting. We discuss the effectiveness of the estimators via analysis and simulation experiments.

    References

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    Borogovac, T., and P. Vakili. 2008. Database monte carlo approach to effective control variates. Technical report, Boston University College of Engineering.
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    Szechtman, R. 2003. Control variates techniques for monte carlo simulation. In Proceedings of the 2003 Winter Simulation Conference, ed. S. Schick, P. Sánchez, D. Ferrin, and D. J. Morrice, 144--149.
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    Szechtman, R. 2006. A hilbert space approach to variance reduction. In Handbook in OR and MS, ed. S. G. Henderson and B. L. Nelson, Volume 13, Chapter 10, 259--289. Elsevier B.V.
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    Zhao, G., T. Borogovac, and P. Vakili. 2007a. Efficient estimation of option price and price sensitivities via structured database monte carlo (SDMC). In Proceedings of the 2007 Winter Simulation Conference, ed. S. G. Henderson, B. Biller, M. H. Hsieh, J. Shortle, J. D. Tew, and R. R. Barton, 984--991.
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    Zhao, G., T. Borogovac, and P. Vakili. 2007b. Structured database monte carlo: A new strategy for efficient simulation. Technical report, Boston University College of Engineering.
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    Zhao, G., Y. Zhou, and P. Vakili. 2006. A new efficient simulation strategy for pricing path -- dependent options. In Proceedings of the 2006 Winter Simulation Conference, ed. L. F. Perrone, F. P. Wieland, J. Liu, B. G. Lawson, D. M. Nicol, and R. M. Fujimoto, 703--710.

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    Published In

    cover image ACM Conferences
    WSC '08: Proceedings of the 40th Conference on Winter Simulation
    December 2008
    3189 pages
    ISBN:9781424427086

    Sponsors

    • IIE: Institute of Industrial Engineers
    • INFORMS-SIM: Institute for Operations Research and the Management Sciences: Simulation Society
    • ASA: American Statistical Association
    • IEEE/SMC: Institute of Electrical and Electronics Engineers: Systems, Man, and Cybernetics Society
    • SIGSIM: ACM Special Interest Group on Simulation and Modeling
    • NIST: National Institute of Standards and Technology
    • (SCS): The Society for Modeling and Simulation International

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    Winter Simulation Conference

    Publication History

    Published: 07 December 2008

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    • Research-article

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    WSC08
    Sponsor:
    • IIE
    • INFORMS-SIM
    • ASA
    • IEEE/SMC
    • SIGSIM
    • NIST
    • (SCS)
    WSC08: Winter Simulation Conference
    December 7 - 10, 2008
    Florida, Miami

    Acceptance Rates

    WSC '08 Paper Acceptance Rate 249 of 304 submissions, 82%;
    Overall Acceptance Rate 3,413 of 5,075 submissions, 67%

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    Cited By

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    • (2021)Green Simulation with Database Monte CarloACM Transactions on Modeling and Computer Simulation10.1145/342933631:1(1-26)Online publication date: 21-Jan-2021
    • (2016)Green simulation with database Monte CarloProceedings of the 2016 Winter Simulation Conference10.5555/3042094.3042241(1108-1118)Online publication date: 11-Dec-2016
    • (2015)Database monte carlo for simulation on demandProceedings of the 2015 Winter Simulation Conference10.5555/2888619.2888696(679-688)Online publication date: 6-Dec-2015
    • (2010)Importance sampling for parametric estimationProceedings of the Winter Simulation Conference10.5555/2433508.2433838(2666-2677)Online publication date: 5-Dec-2010
    • (2010)Control variates for sensitivity estimationProceedings of the Winter Simulation Conference10.5555/2433508.2433834(2629-2641)Online publication date: 5-Dec-2010
    • (2009)Better simulation metamodelingWinter Simulation Conference10.5555/1995456.1995478(119-133)Online publication date: 13-Dec-2009

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