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Minimax second-order designs over cuboidal regions for the difference between two estimated responses

Author

Listed:
  • S. Huda

    (Kuwait University)

  • Rahul Mukerjee

    (Indian Institute of Management Calcutta, Joka)

Abstract

Minimization of the variance of the difference between estimated responses at two points, maximized over all pairs of points in the factor space, is taken as the design criterion. Optimal designs under this criterion are derived, via a combination of algebraic and numerical techniques, for the full second-order regression model over cuboidal regions. Use of a convexity argument and a surrogate objective function significantly reduces the computational burden.

Suggested Citation

  • S. Huda & Rahul Mukerjee, 2010. "Minimax second-order designs over cuboidal regions for the difference between two estimated responses," Indian Journal of Pure and Applied Mathematics, Springer, vol. 41(1), pages 303-312, February.
    • Handle: RePEc:spr:indpam:v:41:y:2010:i:1:d:10.1007_s13226-010-0006-0
    DOI: 10.1007/s13226-010-0006-0
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    References listed on IDEAS

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    1. Huda, S., 1997. "Minimax second-order designs over hypercubes for the difference between estimated responses at a point and at the centre," Statistics & Probability Letters, Elsevier, vol. 33(2), pages 193-199, April.
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    Cited by:

    1. M. Alimohammady & M. Ramazannejad, 2016. "Inertial proximal algorithm for difference of two maximal monotone operators," Indian Journal of Pure and Applied Mathematics, Springer, vol. 47(1), pages 1-8, March.

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