Mixed-level uniform design with random errors in the level values

Jianliang Guo, Zujun Ou () and Ling He
Additional contact information
Jianliang Guo: Jishou University, College of Mathematics and Statistics
Zujun Ou: Jishou University, College of Mathematics and Statistics
Ling He: Jishou University, College of Mathematics and Statistics

Statistical Papers, 2025, vol. 66, issue 7, No 8, 20 pages

Abstract: Abstract Discrepancy is an important criterion for measuring the uniformity of designs. In this paper, the uniformity of mixed-level designs with random errors in the factor levels is studied under the wrap-around $$L_2$$ -discrepancy. Given a mixed-level design, the expectation $$B_z$$ of the difference between wrap-around $$L_2$$ -discrepancies of the mixed-level design with and without random errors in the factor levels is defined, and the properties of $$B_z$$ , along with its upper and lower bounds are studied. Numerical examples and simulation for Goldstein-Price function model demonstrate that uniform designs performs robustly against interferences with random errors in the factor levels.

Keywords: Random error; Robust; Uniform design; Wrap-around $$L_2$$ -discrepancy; 62K15; 62K99 (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s00362-025-01777-9 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:stpapr:v:66:y:2025:i:7:d:10.1007_s00362-025-01777-9

Ordering information: This journal article can be ordered from
http://www.springer. ... business/journal/362

DOI: 10.1007/s00362-025-01777-9

Access Statistics for this article

Statistical Papers is currently edited by C. Müller, W. Krämer and W.G. Müller

More articles in Statistical Papers from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().