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Lee discrepancy on asymmetrical factorials with two- and three-levels

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Abstract

Lee discrepancy has been employed to measure the uniformity of fractional factorials. In this paper, we further study the statistical justification of Lee discrepancy on asymmetrical factorials. We will give an expression of the Lee discrepancy of asymmetrical factorials with two- and three-levels in terms of quadric form, present a connection between Lee discrepancy, orthogonality and minimum moment aberration, and obtain a lower bound of Lee discrepancy of asymmetrical factorials with two- and three-levels.

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Authors and Affiliations

  1. Department of Statistics, Visva-Bharati University, Santiniketan, India

    Kashinath Chatterjee

  2. Faculty of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China

    Hong Qin & Na Zou

  3. Department of Statistics, Zhongnan University of Economics and Law, Wuhan, 430079, China

    Na Zou

Authors
  1. Kashinath Chatterjee
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  2. Hong Qin
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  3. Na Zou
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Corresponding author

Correspondence to Hong Qin.

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Chatterjee, K., Qin, H. & Zou, N. Lee discrepancy on asymmetrical factorials with two- and three-levels. Sci. China Math. 55, 663–670 (2012). https://doi.org/10.1007/s11425-012-4366-2

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  • DOI: https://doi.org/10.1007/s11425-012-4366-2

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