Central limit theorems for four new types of U-designs

DOI10.1080/02331888.2016.1268618zbMath1368.62230OpenAlexW2561591288MaRDI QIDQ5283166

Xiangshun Kong, Rahul Mukerjee, Ming-Yao Ai

Publication date: 20 July 2017

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2016.1268618

zbMATH Keywords

central limit theoremcorrelation controlled \(U\)-designnested \(U\)-designsliced \(U\)-designstrong orthogonal array-based \(U\)-design

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Orthogonal arrays, Latin squares, Room squares (05B15) Factorial statistical designs (62K15) Response surface designs (62K20)

Related Items (2)

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Cites Work

• Exploratory designs for computational experiments
• A central limit theorem for general orthogonal array based space-filling designs
• A multivariate central limit theorem for randomized orthogonal array sampling designs in computer experiments
• Construction of nested space-filling designs
• Lattice sampling revisited: Monte Carlo variance of means over randomized orthogonal arrays
• On Latin hypercube sampling
• Twisted particle filters
• Latin hypercube designs with controlled correlations and multi-dimensional stratification
• Nested orthogonal array-based Latin hypercube designs
• Sliced space-filling designs
• Strong orthogonal arrays and associated Latin hypercubes for computer experiments
• A central limit theorem for nested or sliced Latin hypercube designs
• Probability

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