| Admissibility for Nonhomogeneous Linear Estimates on Multivariate Random Regression Coefficients and Parameters |
| |
| 作者姓名： | 艾明要 刘敬敏 |
| |
| 作者单位： | Ai Mingyao;Liu Jingmin(Henan Institute of Finance and Economics，Zhengzhou) (Kaifeng Second Normal School) |
| |
| 摘 要： | 61..IntroductionLetA,BaretwomatriceslthesignA>odenotesthatAisanon-negativedefinitesquarematrixFA>BdenotesA-B>OIA>odenotesthatAisaPoSitivedefinitesquarematrix;A>BdenotesA-B>OFp(A)denotesthelinearspaceextendedbycolumnvectorsofAFA denoteSMcore-PenrosegeneralinversionofA,i.e.A satisfies:AA A=A,A AA =A ,A AandAA botharesymmetriclA-denotesthesignu-"generalinversionofA,i.e.A-satisfies:AA-A=A3Adenotestherow-drawingstraightvectorofA;A@BdenotestheKrcrneckerpreductofAandB3tr(A)denot…
|
Admissibilty for Nonhomogeneous Linear Estimates on Multivariate Random Regression Coefficients and Parameters |
| |
| Ai Mingyao,Liu Jingmin.Admissibility for Nonhomogeneous Linear Estimates on Multivariate Random Regression Coefficients and Parameters[J].Chinese Quarterly Journal of Mathematics,1997(3). |
| |
| Authors: | Ai Mingyao Liu Jingmin |
| |
| Abstract: | In this paper,we consider the admissibility for nonhomogeneous linear estimates on regression coefficients and parameters in multivariate random effect linear model and give eight definitions of different forms for admissibility. We not only prove that they can be divided into three identical subclasses,but also gain three kinds of necessary and sufficient conditions. |
| |
| Keywords: | multivariate linear model random effect admissibility |
| 本文献已被 CNKI 等数据库收录！ |
