Building accurate emulators for stochastic simulations via Quantile Kriging

Matthew Plumlee*, Rui Tuo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


Computer simulation has increasingly become popular for analysis of systems that cannot be feasibly changed because of costs or scale. This work proposes a method to construct an emulator for stochastic simulations by performing a designed experiment on the simulator and developing an emulative distribution. Existing emulators have focused on estimation of the mean of the simulation output, but this work presents an emulator for the distribution of the output. This construction provides both an explicit distribution and a fast sampling scheme. Beyond the emulator description, this work demonstrates the emulators efficiency, that is, its convergence rate is the asymptotically optimal among all possible emulators using the same sample size (under certain conditions). An example of its practical use is demonstrated using a stochastic simulation of fracture mechanics. Supplementary materials for this article are available online.

Original languageEnglish (US)
Pages (from-to)466-473
Number of pages8
Issue number4
StatePublished - Oct 2 2014


  • Computer experiments
  • Gaussian process
  • Metric entropy
  • Quantile regression
  • Reproducing kernel Hilbert spaces
  • Simulation experiments

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics


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