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Theory and Methods

Hierarchical Latin Hypercube Sampling

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Pages 673-682 | Received 01 Jun 2012, Published online: 30 Mar 2017

References

  • Drew, S. S. , and Homem-de Mello, T. (2005), “Some Large Deviations Results for Latin Hypercube Sampling,” in Proceedings of the 37th Conference on Winter Simulation, Winter Simulation Conference , pp. 673–681.
  • Helton, J. C. , and Davis, F. J. (2003), “Latin Hypercube Sampling and the Propagation of Uncertainty in Analyses of Complex Systems,” Reliability Engineering & System Safety , 81, 23–36.
  • Owen, A. B. (1992), “A Central Limit Theorem for Latin Hypercube Sampling,” Journal of the Royal Statistical Society , Series B, 54, 541–551.
  • Pleming, J. B. , and Manteufel, R. D. (2005), “Replicated Latin Hypercube Sampling,” in Proceedings of the 46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference , pp. 1–18.
  • Qian, P. Z. G. (2009), “Nested Latin Hypercube Designs,” Biometrika , 96, 957–970.
  • ——— (2012), “Sliced Latin Hypercube Designs,” Journal of the American Statistical Association , 107, 393–399.
  • Robinson, D. G. (2001), “An Iterative Monte Carlo Method for Efficient Structural Reliability and Uncertainty Analysis,” in Structural Safety and Reliability: ICOSSAR’01 , pp. 249–250.
  • Sallaberry, C. , Helton, J. , and Hora, S. (2008), “Extension of Latin Hypercube Samples With Correlated Variables,” Reliability Engineering & System Safety , 93, 1047–1059.
  • Stein, M. (1987), “Large Sample Properties of Simulations Using Latin Hypercube Sampling,” Technometrics , 29, 143–151.
  • Xiong, S. (2012), “Some Contributions to Latin Hypercube Design, Irregular Region Smoothing and Uncertainty Quantification,” Ph.D. dissertation, Georgia Tech University.

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