New lower bound for Lee discrepancy of asymmetrical factorials

DOI10.1007/s00362-018-0998-9zbMath1452.62588OpenAlexW2800340027MaRDI QIDQ2208394

Liuping Hu, Jiaqi Liu, Zu Jun Ou, Kashinath Chatterjee

Publication date: 2 November 2020

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-018-0998-9

zbMATH Keywords

lower bounduniform designLee discrepancy

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Factorial statistical designs (62K15)

Related Items (10)

Uniformity pattern of mixed two- and three-level factorials under average projection mixture discrepancy ⋮ Uniform row augmented designs with multi-level ⋮ Lower bounds of the average mixture discrepancy for row augmented designs with mixed four- and five-level ⋮ Design efficiency for minimum projection uniform designs with \(q\) levels ⋮ A lower bound of average mixture discrepancy for row augmented designs ⋮ Uniformity and projection uniformity of combined designs ⋮ Uniform augmented \(q\)-level designs ⋮ Sharp lower bounds of various uniformity criteria for constructing uniform designs ⋮ Uniformity pattern of \(q\)-level factorials under mixture discrepancy ⋮ Uniform design with prior information of factors under weighted wrap-around \(L_2\)-discrepancy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lee discrepancy on asymmetrical factorials with two- and three-levels
• Some new lower bounds to centered and wrap-round \(L_2\)-discrepancies
• Lower bounds of various discrepancies on combined designs
• Lee discrepancy and its applications in experimental designs
• A note on Lee discrepancy
• Minimum \(G_2\)-aberration for nonregular fractional factorial designs
• Generalized minimum aberration for asymmetrical fractional factorial designs.
• Discrete discrepancy in factorial designs
• New lower bounds for Lee discrepancy on two and three mixed levels factorials
• Lower bounds of various criteria in experimental designs
• Minimum Aberration 2 k-p Designs
• A generalized discrepancy and quadrature error bound
• Space-Filling Fractional Factorial Designs
• A note on generalized aberration in factorial designs

This page was built for publication: New lower bound for Lee discrepancy of asymmetrical factorials