【摘要】 本文对任给定的非负定阵C≠0,给出了Tr（C∑）的UMVNNQUE（一致最小方差非负二次无偏估计）存在的充要条件,证明了Tr（C∑）的UMVNNQUE存在的充要条件恰是Tr（C∑）的MINQE（U,NND）（最小模二次无偏非负估计）成为Tr（C∑）的UMVNNQUE的充要条件,且在UMVNNQUE存在时,具体给出了Tr（C∑）的UMVNNQUE,它恰是Tr（C∑）的MINQE（U,NND）。更多还原

【Abstract】 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((7I7)’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∑).更多还原