State-dependent Importance Sampling and large Deviations

  • Authors:
  • Jose Blanchet;Jingchen Liu;Peter Glynn

  • Affiliations:
  • Harvard University;Harvard University;Stanford University

  • Venue:
  • valuetools '06 Proceedings of the 1st international conference on Performance evaluation methodolgies and tools
  • Year:
  • 2006

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Abstract

Large deviations analysis for light-tailed systems provides anasymptotic description of the optimal importance sampler in thescaling of the Law of Large Numbers. As we will show by means of asimple example related to computational finance, such asymptoticdescription can be interpreted indifferent ways suggesting severalimportance sampling algorithms, some of them state-dependent. Inturn, the performance of the suggested algorithms can besubstantially different.