The depth-design: an efficient generation of high dimensional computer experiments

DOI10.1016/j.jspi.2015.03.002zbMath1322.62203OpenAlexW2060892275MaRDI QIDQ499435

Martin Piffl, Ernst Stadlober

Publication date: 30 September 2015

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2015.03.002

zbMATH Keywords

multiple linear regressionscreening designsdepth functionsmedian-oriented quantilesspace filling designstotal sensitivity index

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05) Design of statistical experiments (62K99) Sampling theory, sample surveys (62D05) Response surface designs (62K20)

Uses Software

• Qhull

Cites Work

• A catalogue of three-level regular fractional factorial designs
• Multivariate analysis by data depth: Descriptive statistics, graphics and inference. (With discussions and rejoinder)
• General notions of statistical depth function.
• A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code
• Equivariance and invariance properties of multivariate quantile and related functions, and the role of standardisation
• Simplex-Sum Designs: A Class of Second Order Rotatable Designs Derivable From Those of First Order
• Large Sample Properties of Simulations Using Latin Hypercube Sampling
• The quickhull algorithm for convex hulls
• Projective three-level main effects designs robust to model uncertainty
• Robustness and Complex Data Structures
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