MINQE（U, NND） and UMVNNQUE of Covariance Matrix in Growth Curve Model

In this paper, for any given matrix C（0 ≠ C ≥ 0）, we consider the nonegative estimation of liner estimable function Tr（C∑） of the covariance matrix S, and obtain the n. s. condition for the MINQE（U, NND） of Tr（C∑）to be also its UMVNNQUE, and prove that it is exactly the n.s. condition for Tr(（C∑）’s UMVNNQUE to exist. Moreover, we give concretely Tr（C∑）’s UMVNNQUE （provided a UMVNNQUE exists）, it is just the MINQE（U.NND） of Tr（C∑）.