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Extensions of the regenerative method to new functionals

Published: 11 December 2016 Publication History

Abstract

This paper briefly reviews the regenerative method for steady-state simulation, and then shows how regenerative structure can be used computationally to develop new estimators for the spectral density, moments of hitting times, and both discounted and average reward value functions. All our estimators typically exhibit the Monte Carlo method's usual "square root" convergence rate. This is in contrast to the usual sub-square root rate exhibited by, for example, spectral density estimators in the absence of regenerative structure.

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  1. Extensions of the regenerative method to new functionals

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    cover image ACM Conferences
    WSC '16: Proceedings of the 2016 Winter Simulation Conference
    December 2016
    3974 pages
    ISBN:9781509044849

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    • SAS
    • AnyLogic: The AnyLogic Company
    • Palgrave: Palgrave Macmillan
    • FlexSim: FlexSim Software Products, Inc.
    • ASA: American Statistical Association
    • IEEE/SMC: Institute of Electrical and Electronics Engineers: Systems, Man, and Cybernetics Society
    • Simio: Simio LLC
    • ODU: Old Dominion University
    • ASIM: Arbeitsgemeinschaft Simulation
    • ExtendSim: ExtendSim
    • NIST: National Institute of Standards & Technology
    • Amazon Simulations: Amazon Simulations

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    Published: 11 December 2016

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    WSC '16: Winter Simulation Conference
    December 11 - 14, 2016
    Virginia, Arlington

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