Asymptotically optimal maximin distance Latin hypercube designs
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DOI: 10.1007/s00184-021-00833-2
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- Ifigenia Efthimiou & Stelios Georgiou & Min-Qian Liu, 2015. "Construction of nearly orthogonal Latin hypercube designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 78(1), pages 45-57, January.
- Edwin R. van Dam & Gijs Rennen & Bart Husslage, 2009.
"Bounds for Maximin Latin Hypercube Designs,"
Operations Research, INFORMS, vol. 57(3), pages 595-608, June.
- van Dam, E.R. & Rennen, G. & Husslage, B.G.M., 2007. "Bounds for Maximin Latin Hypercube Designs," Discussion Paper 2007-16, Tilburg University, Center for Economic Research.
- van Dam, E.R. & Rennen, G. & Husslage, B.G.M., 2009. "Bounds for maximin Latin hypercube designs," Other publications TiSEM f556d9e2-e3b9-42db-96ee-9, Tilburg University, School of Economics and Management.
- V. Roshan Joseph & Evren Gul & Shan Ba, 2015. "Maximum projection designs for computer experiments," Biometrika, Biometrika Trust, vol. 102(2), pages 371-380.
- Yongdao Zhou & Hongquan Xu, 2015. "Space-filling properties of good lattice point sets," Biometrika, Biometrika Trust, vol. 102(4), pages 959-966.
- van Dam, E.R. & Rennen, G. & Husslage, B.G.M., 2007. "Bounds for Maximin Latin Hypercube Designs," Other publications TiSEM da0c15be-f18e-474e-b557-f, Tilburg University, School of Economics and Management.
- Edwin R. van Dam & Bart Husslage & Dick den Hertog & Hans Melissen, 2007.
"Maximin Latin Hypercube Designs in Two Dimensions,"
Operations Research, INFORMS, vol. 55(1), pages 158-169, February.
- van Dam, E.R. & Husslage, B.G.M. & den Hertog, D. & Melissen, H., 2005. "Maximin Latin Hypercube Designs in Two Dimensions," Discussion Paper 2005-8, Tilburg University, Center for Economic Research.
- van Dam, E.R. & den Hertog, D. & Husslage, B.G.M. & Melissen, H., 2007. "Maximin Latin hypercube designs in two dimensions," Other publications TiSEM b4eb1336-e9d8-441a-ac87-0, Tilburg University, School of Economics and Management.
- Fasheng Sun & Min-Qian Liu & Dennis K. J. Lin, 2009. "Construction of orthogonal Latin hypercube designs," Biometrika, Biometrika Trust, vol. 96(4), pages 971-974.
- Fasheng Sun & Boxin Tang, 2017. "A Method of Constructing Space-Filling Orthogonal Designs," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(518), pages 683-689, April.
- Grosso, A. & Jamali, A.R.M.J.U. & Locatelli, M., 2009. "Finding maximin latin hypercube designs by Iterated Local Search heuristics," European Journal of Operational Research, Elsevier, vol. 197(2), pages 541-547, September.
- Xu He, 2019. "Interleaved lattice-based maximin distance designs," Biometrika, Biometrika Trust, vol. 106(2), pages 453-464.
- C. Devon Lin & Rahul Mukerjee & Boxin Tang, 2009. "Construction of orthogonal and nearly orthogonal Latin hypercubes," Biometrika, Biometrika Trust, vol. 96(1), pages 243-247.
- Yaping Wang & Jianfeng Yang & Hongquan Xu, 2018. "On the connection between maximin distance designs and orthogonal designs," Biometrika, Biometrika Trust, vol. 105(2), pages 471-477.
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- van Dam, E.R. & Rennen, G. & Husslage, B.G.M., 2007. "Bounds for Maximin Latin Hypercube Designs," Other publications TiSEM da0c15be-f18e-474e-b557-f, Tilburg University, School of Economics and Management.
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Keywords
Computer experiment; Maximin distance design; Space-filling design; Orthogonality;All these keywords.
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