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Original Articles

Computing A-optimal and E-optimal designs for regression models via semidefinite programming

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Pages 2011-2024 | Received 09 Jul 2014, Accepted 13 Mar 2015, Published online: 21 Nov 2016

References

  • Boyd, S. P., Vandenberghe, L. (2004). Convex Optimization. New York: Cambridge University Press.
  • Chang, F. C., Imhof, L., Sun, Y. Y. (2013). Exact D-optimal designs for first-order trigonometric regression models on a partial circle. Metrika 76:857–872.
  • Dette, H., Melas, V. B., Pepelyshev, A. (2002). D-optimal designs for trigonometric regression models on a partial circle. Annals of the Institute of Statistical Mathematics 54:945–959.
  • Dette, H., Melas, V. B., Shpilev, P. V. (2007). Optimal designs for estimating the coefficients of the lower frequencies in trigonometric regression models. Annals of the Institute of Statistical Mathematics 59:655–673.
  • Dette, H., Melas, V. B., Wong, W. K. (2006). Locally D-optimal designs for exponential regression models. Statistica Sinica 16:789–803.
  • Dette, H., Wong, W. K. (1999). E-optimal designs for the Michaelis–Menten model. Statistics and Probability Letters 44:405–408.
  • Fedorov, V. V. (1972). Theory Of Optimal Experiments. New York: Academic Press.
  • Horn, R., Johnson, C. (1985). Matrix Analysis. Cambridge: Cambridge University Press.
  • Montgomery, D. C. (2013). Design and Analysis of Experiments. 8th ed. New York: Wiley.
  • Papp, D. (2012). Optimal designs for rational function regression. Journal of the American Statistical Association 107:400–411.
  • Pukelsheim, F. (1993). Optimal Design of Experiments. New York: Wiley.
  • Seber, G. A. F., Wild, C. J. (1989). Nonlinear Regression. New York: Wiley.
  • Sturm, J. F. (1999). Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones. Optimization Methods and Software 11:625–653.
  • Vandenberghe, L., Boyd, S. (1996). Semidefinite programming. SIAM Review 38:49–95.
  • Vandenberghe, L., Boyd, S. (1999). Applications of semidefinite programming. Applied Numerical Mathematics 29:283–299.
  • Wu, H. (2002). Optimal designs for first-order trigonometric regression on a partial cycle. Statistica Sinica 12:917–930.
  • Zhang, C. (2007). Optimal designs for trigonometric regression. Communications in Statistics—Theory and Methods 36:755–766.
  • Zhou, J. (2008). D-optimal regression designs on discrete design space. Journal of Statistical Planning and Inference 138:4081–4092.

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