References
- Alqallaf, F., and S. Huda. 2013. Minimax designs for the difference between two estimated responses in a trigonometric regression model. Statistics & Probability Letters 83:909–15. doi: 10.1016/j.spl.2012.12.002.
- Box, G. E. P., and N. R. Draper. 1981. The variance of the difference between two estimated responses. Journal of the Royal Statistical Society B 42:79–82. doi:10.1111/j.2517-6161.1980.tb01103.x.
- Dette, H., and G. Haller. 1998. Optimal designs for the identification of the order of a Fourier regression. The Annals of Statistics 26:1496–521. doi:10.1214/aos/1024691251.
- Dette, H., and V. B. Melas. 2002. E-optimal designs for Fourier regression models. Mathematical Methods of Statistics 11:259–96.
- Dette, H., V. B. Melas, and S. Biedermann. 2002. A functional-algebraic determination of D-optimal designs for trigonometric regression models on a partial circle. Statistics & Probability Letters 58(4):389–97. doi:10.1016/S0167-7152(02)00152-9.
- Dette, H., V. B. Melas, and A. Pepelyshev. 2002. D-optimal designs for trigonometric regression models on a partial circle. Annals of the Institute of Statistical Mathematics 54(4):945–59. doi:10.1023/A:1022436007242.
- Dette, H., V. B. Melas, and P. Shpilev. 2007. Optimal designs for estimating coefficients of the lower frequencies in trigonometric regression models. Annals of the Institute of Statistical Mathematics 59(4):655–73. doi:10.1007/s10463-006-0068-2.
- Dette, H., V. B. Melas, and P. Shpilev. 2011. Optimal designs for trigonometric regression models. Journal of Statistical Planning and Inference 141(3):1343–53. doi:10.1016/j.jspi.2010.10.010.
- Herzberg, A. M. 1967. The behavior of the variance function of the difference between two estimated responses. Journal of the Royal Statistical Society, Series B 29:174–9. doi:10.1111/j.2517-6161.1967.tb00686.x.
- Huda, S. 1981. Rotatable Designs: Constructions and Combinatorial Problems in the Robust Design of Experiments, Ph.D. thesis, Imperial College, University of London.
- Huda, S. 1985. Variance of the difference between two estimated responses. Journal of Statistical Planning and Inference 11(1):89–93. doi:10.1016/0378-3758(85)90028-X.
- Huda, S., and A. A. Al-Shiha. 2000. On D- and E-minimax optimal designs for estimating the axial slopes of a second-order response surface over hypercubic regions. Communications in Statistics–Theory and Methods 29(8):1827–49. doi:10.1080/03610920008832580.
- Huda, S., and R. Mukerjee. 1984. Minimizing the maximum variance of the difference between two estimated responses. Biometrika 71(2):381–5. doi:10.1093/biomet/71.2.381.
- Huda, S., and R. Mukerjee. 2010. Minimax second-order designs over cuboidal regions for the difference between two estimated responses. Indian Journal of Pure and Applied Mathematics 41(1):303–12. doi:10.1007/s13226-010-0006-0.
- Kitsos, C. P., D. M. Titterington, and B. Torsney. 1988. An optimal design problem in rhythmometry. Biometrics 44(3):657–71.
- Lau, T. S., and W. J. Studden. 1985. Optimal designs for trigonometric and polynomial regression using canonical moments. The Annals of Statistics 13(1):383–94. doi:10.1214/aos/1176346599.
- Mukerjee, R., and S. Huda. 1985. Minimax second- and third-order designs to estimate the slope of a response surface. Biometrika 72(1):173–8. doi:10.1093/biomet/72.1.173.
- Wu, H. 1997. Optimal exact designs on a circle or a circular arc. The Annals of Statistics 25(5):2027–43. doi:10.1214/aos/1069362385.
- Wu, H. 2002. Optimal designs for first-order trigonometric regression on a partial cycle. Statistica Sinica :917–30.
- Zen, M.-M., and M.-H. Tsai. 2004. Criterion-robust optimal designs for model discrimination and parameter estimation of Fourier regression models. Journal of Statistical Planning and Inference 124(2):475–87. doi:10.1016/S0378-3758(03)00212-X.
- Zhang, C. 2007. Optimal designs for trigonometric regression. Communications in Statistics–Theory and Methods 36(4):755–66. doi:10.1080/03610920601034114.