77 citations · 182 across the 6 of their papers we have counts for
6 papers
A central limit theorem for general orthogonal array based space-filling designs
Xu He, Peter Z. G. Qian
Orthogonal array based space-filling designs (Owen [Statist. Sinica 2 (1992a) 439-452]; Tang [J. Amer. Statist. Assoc. 88 (1993) 1392-1397]) have become popular in computer experim…
On the construction of nested space-filling designs
Fasheng Sun, Min-Qian Liu, Peter Z. G. Qian
Nested space-filling designs are nested designs with attractive low-dimensional stratification. Such designs are gaining popularity in statistics, applied mathematics and engineeri…
Validating Sample Average Approximation Solutions with Negatively Dependent Batches
Jiajie Chen, Cong Han Lim, Peter Z. G. Qian +2
Sample-average approximations (SAA) are a practical means of finding approximate solutions of stochastic programming problems involving an extremely large (or infinite) number of s…
Accurate emulators for large-scale computer experiments
Ben Haaland, Peter Z. G. Qian
Large-scale computer experiments are becoming increasingly important in science. A multi-step procedure is introduced to statisticians for modeling such experiments, which builds a…
OEM for least squares problems
Shifeng Xiong, Bin Dai, Peter Z. G. Qian
We propose an algorithm, called OEM (a.k.a. orthogonalizing EM), intended for var- ious least squares problems. The first step, named active orthogonization, orthogonalizes an arbi…
Construction of nested space-filling designs
Peter Z. G. Qian, Mingyao Ai, C. F. Jeff Wu
New types of designs called nested space-filling designs have been proposed for conducting multiple computer experiments with different levels of accuracy. In this article, we deve…