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21.
By means of an example it is shown how eigenvalues and eigenvectors of variance components models can be obtained straightforwardly when balanced data are available. Simple asymptotically efficient estimators of the variance components are presented. 相似文献
22.
Mervyn G. Marasinghe 《统计学通讯:理论与方法》2013,42(9):2219-2231
Several authors have proposed approximations to percentage points required for testing certain hypotheses associated with the multiplicative interaction model. Alternative approximations based on the asymptotic joint distribution of the characteristic roots of a noncentral Wishart matrix are proposed in this paper. The type I error rates of the resulting tests and the existing procedures are then compared using Monte Carlo methods. 相似文献
23.
非负矩阵谱半径的新估计 总被引:4,自引:0,他引:4
袁抗 《湛江师范学院学报》2006,27(3):30-32
对于非负矩阵的谱半径进行研究,分析了文[1,2]中的结果,给出了非负矩阵谱半径的新估计,该结果改进了文[1,2]中的相关结果. 相似文献
24.
伍启期 《佛山科学技术学院学报(社会科学版)》1996,(2)
给出了3度平面图的两个存在性定理的简洁证明,以矩阵列举法迅速得到所有的异构类,并举例说明结论的意义. 相似文献
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26.
A control procedure is presented in this article that is based on jointly using two separate control statistics in the detection and interpretation of signals in a multivariate normal process. The procedure detects the following three situations: (i) a mean vector shift without a shift in the covariance matrix; (ii) a shift in process variation (covariance matrix) without a mean vector shift; and (iii) both a simultaneous shift in the mean vector and covariance matrix as the result of a change in the parameters of some key process variables. It is shown that, following the occurrence of a signal on either of the separate control charts, the values from both of the corresponding signaling statistics can be decomposed into interpretable elements. Viewing the two decompositions together helps one to specifically identify the individual components and associated variables that are being affected. These components may include individual means or variances of the process variables as well as the correlations between or among variables. An industrial data set is used to illustrate the procedure. 相似文献
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28.
Richard W. Hill 《统计学通讯:理论与方法》2013,42(12):1183-1196
By analyzing a special class of regression problems we point out that previously suggested estimates of the covariance matrix of regression M-cstimatos are inadequate for certain design matrices. These results confirm the conclusions drawn in several Monte Cailo studies. 相似文献
29.
Ted H. Szatrowski 《统计学通讯:理论与方法》2013,42(7):1709-1712
Andrade and Helms (1984) study problems involving estimation and testing of linearly patterned mean and covariance matrices. They parameterize their models under the null hypothesis by using linear constraints on the alternative hypothesis parameterization. In this paper, we show that the nested models that Andrade and Helms consider can be transformed into the nested models considered by Anderson (1969, 1970, 1973) and Szatrowski (1979, 1980, 1981, 1983, 1985). 相似文献
30.
《统计学通讯:理论与方法》2013,42(6):1031-1044
ABSTRACT Classification of data consisting of both categorical and continuous variables between two groups is often handled by the sample location linear discriminant function confined to each of the locations specified by the observed values of the categorical variables. Homoscedasticity of across-location conditional dispersion matrices of the continuous variables is often assumed. Quite often, interactions between continuous and categorical variables cause across-location heteroscedasticity. In this article, we examine the effect of heterogeneous across-location conditional dispersion matrices on the overall expected and actual error rates associated with the sample location linear discriminant function. Performance of the sample location linear discriminant function is evaluated against the results for the restrictive classifier adjusted for across-location heteroscedasticity. Conclusions based on a Monte Carlo study are reported. 相似文献