References
- Chatterjee, K., Li, Z., Qin, H. (2012). Some new lower bounds to centered and wrap-round L2-discrepancies. Stat. Probab. Lett. 82(7):1367–1373.
- Elsawah, M.A., Qin, H. (2014). New lower bound for centered L2-discrepancy of four-level U-type designs. Stat. Probab. Lett. 93:65–71.
- Elsawah, M.A., Qin, H. (2015a). Lee discrepancy on symmetric three-level combined designs. Stat. Probab. Lett. 96:273–280.
- Elsawah, M.A., Qin, H. (2015b). Lower bound of centered L2-discrepancy for mixed two and three levels U-type designs. J. Stat. Plann. Inference 161:1–11.
- Fang, K.T., Lin, D.K.J., Qin, H. (2003). A note on optimal foldover design. Stat. Probab. Lett. 62:245–250.
- Fang, K.T., Lu, X., Winker, P. (2003). Lower bounds for centered and wrap-around L2-discrepancies and construction of uniform design by threshold accepting. J. Complex. 19:692–711.
- Fang, K.T, Maringer, D., Tang, Y., Winker, P. (2005). Lower bounds and stochastic optimization algorithms for uniform designs with three or four levels. Math. Comp. 75:859–878.
- Hickernell, F.J. (1998). Lattice rules: How well do they measure up? In: Hellekalek, P., Larcher, G., eds. Random and Quasi-Random Point Sets (pp. 109–166). New York: Springer-Verlag.
- Lei, Y.J., Ou, Z.J., Qin, H. (2011). Some properties of foldover of regular (sr) × sn fractional factorial designs. Acta Math. Sci. 31A(4):978–982.
- Lei, Y.J., Ou, Z.J., Qin, H., Zou, N. (2012). A note on lower bound of centered L2-discrepancy on combined designs. Acta Math. Sin. 28(4):793–800.
- Lei, Y.J., Qin, H., Zou, N. (2010). Some lower bounds of centered L2-discrepancy on foldover designs. Acta Math. Sci. 30A(6):1555–1561.
- Li, F., Jacroux, M. (2007). Optimal foldover plans for blocked 2m − k fractional factorial designs. J. Stat. Plann. Inference 137:2439–2452.
- Li, P.F., Liu, M.Q., Zhang, R.C. (2005). Choice of optimal initial designs in sequential experiments. Metrika. 61(2):127–135.
- Li, W., Lin, D.K.J. (2003). Optimal foldover plans for two-Level fractional factorial designs. Technometrics 45:142–149.
- Li, W., Lin, D.K.J., Ye, K.Q. (2003). Optimal foldover plans for non-regular orthogonal designs. Technometrics 45:347–351.
- Montgomery, D.C., Runger, G.C. (1996). Foldover of 2k − p resolution IV experimental designs. J. Qual. Technol. 28:446–450.
- Ou, Z.J., Chatterjee, K., Qin, H. (2011). Lower bounds of various discrepancies on combined designs. Metrika 74:109–119.
- Ou, Z.J., Qin, H., Cai, X. (2014). A lower bound for the wrap-around L2-discrepancy on combined designs of mixed two- and three-level factorials. Commun. Stat. Theory Methods 43:2274–2285.
- Ou, Z.J., Qin, H., Cai, X. (2015). Optimal foldover plans of three level designs with minimum wrap-around L2-discrepancy. Sci. China Math. 58. doi:10.1007/s11425-014-4936-6.
- Qin, H., Chatterjee, K., Ou, Z.J. (2013). A lower bound for the centered L2-discrepancy on combined designs under the asymmetric factorials. Statistics. 47:992–1002.
- Zhou, Y.D., Ning, J.H., Song, X.B. (2008). Lee discrepancy and its applications in experimental designs. Stat. Probab. Lett. 78:1933–1942.
- Zhang, Q., Wang, Z., Hu, J., Qin, H. (2015). A new lower bound for wrap-around L2-discrepancy on two and three mixed level factorials. Stat. Probab. Lett. 96:133–170.