Generalized wordlength enumerator for asymmetrical designs

Kang Wang, Na Zou and Hong Qin

Statistics & Probability Letters, 2025, vol. 217, issue C

Abstract: In this paper, we extend the study of wordlength enumerator to asymmetrical designs, and unify the generalized α- and β-wordlength pattern with generalized wordlength enumerator. The generalized wordlength enumerator is easy and fast to compute, and can effectively compare and rank symmetrical and asymmetrical designs. A lower bound of generalized wordlength enumerator is provided, and can be used as a benchmark for searching and constructing optimal designs. Numerical results are also provided, which lend further support to our theoretical findings.

Keywords: Orthogonal polynomials; Generalized wordlength enumerator; Generalized α-wordlength pattern; Generalized β-wordlength pattern; Lower bound (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.spl.2024.110281

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