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Control variate technique: a constructive approach

Published: 07 December 2008 Publication History

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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Asmussen, S., and P. Glynn. 2007. Stochastic simulation: Algorithms and analysis. Springer.
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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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Glasserman, P. 2004. Monte carlo methods in financial engineering. Springer-Verlag New York, Inc.
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Lavenberg, S. S., and P. D. Welch. 1981. A perspective on the use of control variables to increase the efficiency of monte carlo simulations. Management Science 27 (3): 322--335.
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Nelson, B. L. 1990. Control variate remedies. Operations Research 38:974--992.
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Schmeiser, B., M. R. Taaffe, and J. Wang. 2001. Biased control-variate estimation. IIE Transactions 33:219--228.
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Shao, J., and D. Tu. 1995. The jackknife and bootstrap. Springer.
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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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  • (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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