A NEW TYPE OF KANTOROVICH INEQUALITIES AND THEIR APPLICATIONS
一类新的 Kantorovich 型不等式及其在统计中的应用

In this paper,a new type of kantorovich inequalities is given.In terms of these inequali-ties,the bounds of the least squares estimator efficiency in general Gauss-Markov models,the bounds of the linear hypothesis test statistics in multivariate normal linear models,andthe bounds of the general correlation coefficients are studied.