In this paper, some relative efficiency have been

\r\ndiscussed, including the LSE estimate with respect to BLUE in curve

\r\nmodel. Four new kinds of relative efficiency have defined, and their

\r\nupper bounds have been discussed.<\/p>\r\n","references":"[1] S.G. Wang, M.X. Wu, and Z.Z. Jia, Matrix Inequality, Beijing: Science\r\nPress. 2006.\r\n[2] Y.L. Huang, G.J. Chen, \u201cParameters estimation of relative Efficiency in\r\nthe linear model,\u201d Application of probability and statistics. 1988, 14, pp.\r\n159-164.\r\n[3] A.P. Verbyla, W.N. Vernables, \u201cAn extension of the growth model,\u201d\r\nBiometrika.1988, 75, pp. 129-138.\r\n[4] A.Y. Liu, S.G. Wang, \u201cA new relative efficiency of least-square\r\nestimation in Linear model,\u201d Applied Probability and Statistics. 1989, 15,\r\npp. 97-104.\r\n[5] J.L. Wang, D.D. Gao, \u201cEfficiency of generalized least squares estimate\r\nunder the meaning of Euclidean model,\u201d Applied Probability and\r\nStatistics. 1991, 7, pp. 361-365. [6] D.D. Gao, J.L. Wang, \u201cProbability of the Generalized least squares\r\nestimation,\u201d Systems and Science. 1990, 10, pp. 125-130.\r\n[7] P.R. Ding, \u201cSeveral new relative efficiency in Growth curve model,\u201d\r\nKashgar Teachers College Jourals.1999, 19, pp.23-26.\r\n[8] P. Bloomfield, G.S. Watson, \u201cThe Efficiency of Least Squares,\u201d\r\nBiometrika, 1975, 62, pp. 121-128.\r\n[9] J. Li, L. Xia, N.N. Wang, \u201cA new relative efficiency in generalized linear\r\nmode,\u201d Proceedings of the Eighth International Conference on Matrix\r\nTheory and its Applications.2009, 84-86.\r\n[10] J.X. Pan, \u201cRegression parameters in growth curve model of least squares\r\nestimate and Gauss-Markov theorem,\u201d Mathematical statistics and\r\napplied probability. 1988, 3, pp. 169-185.\r\n[11] Q.R. Deng, J.B. Chen, \u201cSome Relative Efficiencies of LSE in Growth\r\nCurve Model,\u201d Mathematical Applicant. 1997, 10, pp. 60-65.\r\n[12] G.K. Hu, P. Peng, \u201cA new relative efficiency in growth curve model of\r\nmean value matrix,\u201d Journal of Dong Hua institute of technology. 2006,\r\n29, pp. 394-396.\r\n[13] H. Hotelling, \u201cThe Relationship Between The Two Sets of Variables,\u201d\r\nBiometrika, 1936, 36, pp. 321-377.\r\n[14] X.G. Ni, Commonly used matrix theory and method, Shanghai: Shanghai\r\nScientific and Technical Press. 1985.\r\n[15] C.G. Khatri, C.R. Rao, \u201cSome generalization of Kantorovich inequality,\u201d\r\nSankhya, 1982, 44, pp. 91-102.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 94, 2014"}