On equalities for BLUEs under misspecified Gauss-Markov models

This paper studies relationships between the best linear unbiased estimators （BLUEs） of an estimable parametric functions Kβunder the Gauss-Markov model {y, Xβ, σ^2]E} and its misspecified model {y, X0β,σ^2∑0}. In addition, relationships between BLUEs under a restricted Gauss Markov model and its misspecified model are also investigated.     

带约束条件和多余参数的线性模型的比较

对于带约束条件和多余参数的两个线性模型ｅ１＝Ｌ（Ｘ１β＋Ｚ１γ，Ｖ１，Ｌ１）和ｄ２＝Ｌ（Ｘ２β＋Ｚ２δ，Ｖ２，Ｌ２），其中Ｖ１和Ｖ２是已知对称的正定矩阵，γ和δ是多余参数，Ｌ１和Ｌ２是已知的约束矩阵，文中给出了一种新的比较准则，并得到了几个充要条件。     

On the equivalence of the BLUEs under a general linear model and its restricted and stochastically restricted models

Necessary and sufficient conditions are derived for the equalities of the best linear unbiased estimators (BLUEs) of parametric functions under a general linear model and its restricted and stochastically restricted models to hold.     

A Class of Linear Biased Estimators of Regression ParameterMatrix in the Growth Curve Model

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Constrained Kantorovich inequalities and relative efficiency of least squares

This paper establishes a type of Kantorovich inequality subject to some constraints and obtains some lower bounds for the relative efficiency of the least squares. These lower bounds can be much sharper than that obtained by using the unconstrained Kantorovich inequality. Multivariate extensions of the results are also obtained. Some interesting examples are presented.     

EPR studies on H-abstractions/spin-trapping reactions of new 'magic blue' reagents with alcohols

The H-abstractions/spin-trapping reactions with primary, secondary and tertiary alcohols of new 'magic blue' reagents, namely, the blue F113 (CClF₂CCl₂F) solution containing bis{perfluoro[1-(2-fluorosulfonyl)ethoxy]ethyl} nitroxide (2) and perfluoro[1-nitroso-1-(2-fluorosulfonyl)ethoxy]ethane (3) both generated in the reaction of perfluoro[2-(2-fluorosulfonyl)ethoxy]propionyl peroxide (1) with sodium nitrite in F113 at room temperature, were studied by EPR. Based on the interpretation of the EPR spectra of the spin adducts, nitroxides, the region-selectivity of H-abstraction has been disclosed and the possible mechanistic paths of H-abstraction have also been discussed. EPR of H-abstraction by using 'magic blue' reagents can also be used for producing various hydroxyalkyl radicals from common alcohols.     

增长曲线模型中最小二乘估计的几种相对效率

对于一般的增长曲线模型Yn×m=Xn×pBp×qZq×m＋ε,ε~（0,δV∑）本文定义了B的最小二乘估计（相对于B的最佳线性无偏估计）的四种相对效率，并得到了它们的下界．     

α-Keggin结构钼硅四电子杂多蓝的量子化学研究

采用半经验的INDO法,首次完成了α-Keggin 结构钼硅四电子杂多蓝K~ 3H~ 5[Simo^v~4-Mo^Ⅵ~8O~4~0].12H~2O量子化学计算,获得102个成键轨道和68 个反键轨道,轨道能级,键序及电荷等数据,证明了杂多酸盐还原产物杂多蓝,还原后Keggin结构阴离子中各原子上电子云密度重新分配,产生一定程度的结构畸变, 但仍保持α-Keggin结构,最高占据轨道由组成分子的各原子轨道组成,其中的桥氧(O~b'O~c)成分较多,表明O~b'O~c为分子中的主要化学活性点HOMO和LUMO为负值, 表明仍可进一步接受电子生成四电子以上的杂多蓝,Muliken分析进一步证明了还原钼原子的位置.     

汞(II)-甲基百里酚兰-X(SCN^-,Br^-,I^-)三元混合配位化合物稳定常数的测定

With mercury (II)-methyl thymol blue-X (SCN, Br, I) as example, two methods are investigated in this paper. The first one bases on the variation experimental design, so that classical method of degree of dissociation can be used to calculate the stability constant from the molar ratio curve obtained. This method is simple, adaptable to cases where the decomposition is relatively weak. The second method requires the preliminary acquisition of the equilibrium constant of the decomposition reaction, with the calculation of the stability constant of the preceding formation reaction thereon. The evaluation procedure is more strict. Thhis method is applicable whether the decomposition reaction is strong or weak. Thus, we obtain stability constants of ternary complexes with rather strong subsequent decomposition reaction, such as Hg.MTB.I. Results obtained are rather satisfactory.     

双参数对数正态分布异常数据的检测方法

针对双参数对数正态分布场合下的多个异常数据给出一种新的检测方法。首先由参数的BLUE导出证明了两个检验所用的枢轴量,然后通过蒙特卡罗方法模拟得到枢轴量的样本分位点表,最后用一个例子说明方法是有效可行的。