Kantorovich-type inequalities and the measures of inefficiency of the glse |
| |
Authors: | Songgui Wang Hu Yang |
| |
Institution: | (1) University of Science and Technology of China, China;(2) Chongqing Communication Institute, China |
| |
Abstract: | In this paper we introduce some Kantorovich inequalities for the Euclidean norm of a matrix, that is, the upper bounds to (X'B
–1
X)
–1
X'B
–1
AB
–1
X(X'B
–1X)–1
X' BX(X'AX)
–1
X'CX 2 are given, where A 2=trace (A'A). In terms of these inequalities the upper bounds to the three measures of inefficiency of the generalized least squares estimator (GLSE) in general Gauss-Markov models are also established.Project supported partially by the Third World Academy of Sciences under contract TWASRG 87-46 and by the National Natural Science Foundation. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|