caa a22 4500 475793218 CHVBK 20180406123716.0 cr unu---uuuuu 170329e20000801xx s 000 0 eng 10.1007/s001840000050 doi (NATIONALLICENCE)springer-10.1007/s001840000050 Liu Shuangzhe School of Mathematical Sciences, Australian National University, Canberra ACT 0200, Australia (email: Shuangzhe.Liu@maths.anu.edu.au), AU aut Efficiency comparisons between two estimators based on matrix determinant Kantorovich-type inequalities [Elektronische Daten] [Shuangzhe Liu] Abstract.: We first establish two matrix determinant Kantorovich-type inequalities. Then, based on these two and other inequalities, we introduce new efficiency criteria and present their upper bounds to make efficiency comparisons between the ordinary least squares estimator and the best linear unbiased estimator in the general linear model. We provide numerical examples to examine the upper bounds of some new and old efficiency criteria. Springer-Verlag Berlin Heidelberg, 2000 Key words: Efficiency criterion, ordinary least squares estimator, best linear unbiased estimator, general linear model, matrix differential nationallicence https://doi.org/10.1007/s001840000050 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s001840000050 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Liu Shuangzhe School of Mathematical Sciences, Australian National University, Canberra ACT 0200, Australia (email: Shuangzhe.Liu@maths.anu.edu.au), AU aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer