For the growth curve model with respect to inequality restriction: Y = XBZ +ε,ε(0, σ2V I), trNB ≥0, this paper gives some necessary and sufficient conditions for the linear estimator of KBL to be admissible in...For the growth curve model with respect to inequality restriction: Y = XBZ +ε,ε(0, σ2V I), trNB ≥0, this paper gives some necessary and sufficient conditions for the linear estimator of KBL to be admissible in the class of homogeneous linear estimators LH and nonhomogeneous linear estimators LI, respectively, under the quadratic loss function tr(d(Y) - KBL)'(d(Y) - KBL).展开更多
基金supported by the Provincial Natural Science Research Project of Anhui Colleges(KJ2013A137)the Natural Science Foundation of Anhui Province(1408085MA07)the PhD Research Startup Foundation of Anhui Normal University(2014bsqdjj34) which facilitated the research visit of the first author to McMaster University,Canada
基金supported by the National Natural Science Foundation of China(Grant No.11201003)the Provincial Natural Science Research Project of Anhui Colleges(Grant No.KJ2016A263)+1 种基金the Natural Science Foundation of Anhui Province(Grant No.1408085MA07)the PhD Research Startup Foundation of Anhui Normal University(Grant No.2014bsqdjj34)
文摘For the growth curve model with respect to inequality restriction: Y = XBZ +ε,ε(0, σ2V I), trNB ≥0, this paper gives some necessary and sufficient conditions for the linear estimator of KBL to be admissible in the class of homogeneous linear estimators LH and nonhomogeneous linear estimators LI, respectively, under the quadratic loss function tr(d(Y) - KBL)'(d(Y) - KBL).