The generalization of Latin hypercube sampling

Reliability Engineering & System Safety - Tập 148 - Trang 96-108 - 2016
Michael D. Shields1, Jiaxin Zhang1
1Department of Civil Engineering, Johns Hopkins University, USA

Tài liệu tham khảo

Olsson, 2003, On Latin hypercube sampling for structural reliability analysis, Struct Saf, 25, 47, 10.1016/S0167-4730(02)00039-5

Ghiocel, 2002, Stochastic finite-element analysis of seismic soil-structure interaction, J Eng Mech, 128, 66, 10.1061/(ASCE)0733-9399(2002)128:1(66)

Choi, 2004, Polynomial chaos expansion with Latin hypercube sampling for estimating response variability, AIAA J, 42, 1191, 10.2514/1.2220

Helton, 2005, A comparison of uncertainty and sensitivity analysis results obtained with random and Latin hypercube sampling, Reliab Eng Syst Saf, 89, 305, 10.1016/j.ress.2004.09.006

Helton, 2006, Survey of sampling-based methods for uncertainty and sensitivity analysis, Reliab Eng Syst Saf, 91, 1175, 10.1016/j.ress.2005.11.017

Stein, 1987, Large sample properties of simulations using Latin hypercube sampling, Technometrics, 29, 143, 10.1080/00401706.1987.10488205

Wu, 2000

Morris, 1995, Exploratory designs for computational experiments, J Stat Plan Inference, 43, 381, 10.1016/0378-3758(94)00035-T

Ye, 1998, Orthogonal column Latin hypercubes and their application in computer experiments, J Am Stat Assoc, 93, 1430, 10.1080/01621459.1998.10473803

Cioppa, 2007, Efficient nearly orthogonal and space-filling Latin hypercubes, Technometrics, 49, 45, 10.1198/004017006000000453

Joseph V, Hung Y. Orthogonal-maximin latin hypercube designs. Stat Sin 2008;18:171–86.

Liefvendahl, 2006, A study on algorithms for optimization of Latin hypercubes, J Stat Plan Inference, 136, 3231, 10.1016/j.jspi.2005.01.007

Park, 1994, Optimal Latin-hypercube designs for computer experiments, J Stat Plan Inference, 39, 95, 10.1016/0378-3758(94)90115-5

Florian, 1992, An efficient sampling scheme, Prob Eng Mech, 7, 123, 10.1016/0266-8920(92)90015-A

Vorechovsky, 2009, Correlation control in small-sample Monte Carlo type simulations I, Prob Eng Mech, 24, 452, 10.1016/j.probengmech.2009.01.004

Novak D, Teply B, Kersner Z. The role of latin hypercube sampling method in reliability engineering. In: Proceedings of the international conference on structural safety and reliability, vol. 97; 1998. p. 403–9.

Shu, 2011, Latin hypercube sampling techniques for power systems reliability analysis with renewable energy sources, IEEE Trans Power Syst, 26, 2066, 10.1109/TPWRS.2011.2113380

Fang, 2002, Centered l2-discrepancy of random sampling and Latin hypercube design, and construction of uniform designs, Math Comput, 71, 275, 10.1090/S0025-5718-00-01281-3

Mease, 2006, Latin hyperrectangle sampling for computer experiments, Technometrics, 48, 467, 10.1198/004017006000000101

Saltelli, 2008

Owen, 1992, Orthogonal arrays for computer experiments, integration, and visualization, Stat Sin, 2, 439

Faulkner, 1975, A review of effective plating for use in the analysis of stiffened plating in bending and compression, J Ship Res, 1, 10.5957/jsr.1975.19.1.1

Carlsen, 1977, Simplified collapse analysis of stiffened plates, Nor Marit Res, 5, 20

Hess, 2002, Uncertainties in material and geometric strength and load variables, Nav Eng J, 114, 139, 10.1111/j.1559-3584.2002.tb00128.x

Antoniou, 1980, On the maximum deflection of plating in newly built ships, J Ship Res, 24, 31, 10.5957/jsr.1980.24.1.31