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带约束的Kantorovich不等式及其在LSE相对效率中的应用
引用本文:陈建宝,石磊.带约束的Kantorovich不等式及其在LSE相对效率中的应用[J].云南大学学报(自然科学版),1995,17(2):126-131.
作者姓名:陈建宝  石磊
作者单位:云南大学统计系
基金项目:云南省应用基础研究基金
摘    要:本文给出了一种约束的Kantorovich不等式并将其就用于Gauss-Markov模型和方差分量模型中LSE的相对效率研究,得到了其下界,这些下界比起用不约束的Kantorovich不等式给出的下界更尖。

关 键 词:LSE  BLUE  K不等式  相对效率  G-M模型

Constrained Kantorovich Inequality and Its Applications in Relative Efficiencies of Least Squares
Chen Jian bao,shi Lei.Constrained Kantorovich Inequality and Its Applications in Relative Efficiencies of Least Squares[J].Journal of Yunnan University(Natural Sciences),1995,17(2):126-131.
Authors:Chen Jian bao  shi Lei
Abstract:This article obtains a kind of constrained Kantorovich inequality and some lower bounds for the relative efficiencv of LSE in Gauss-Markov and variance component models,These lower bounds are much sharper than that obtained by using the unconstrained Kantorovich inequality
Keywords:LSE  BLUE  efficiency  constrained Kantorovich inequality
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