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1.
Gabriela Beganu 《Statistical Methods and Applications》2007,16(3):347-356
It is known that the Henderson Method III (Biometrics 9:226–252, 1953) is of special interest for the mixed linear models
because the estimators of the variance components are unaffected by the parameters of the fixed factor (or factors). This
article deals with generalizations and minor extensions of the results obtained for the univariate linear models. A MANOVA
mixed model is presented in a convenient form and the covariance components estimators are given on finite dimensional linear
spaces. The results use both the usual parametric representations and the coordinate-free approach of Kruskal (Ann Math Statist
39:70–75, 1968) and Eaton (Ann Math Statist 41:528–538, 1970). The normal equations are generalized and it is given a necessary
and sufficient condition for the existence of quadratic unbiased estimators for covariance components in the considered model. 相似文献
2.
Peter Hall Qiwei Yao 《Journal of the Royal Statistical Society. Series B, Statistical methodology》2003,65(2):425-442
Summary. We develop a general methodology for tilting time series data. Attention is focused on a large class of regression problems, where errors are expressed through autoregressive processes. The class has a range of important applications and in the context of our work may be used to illustrate the application of tilting methods to interval estimation in regression, robust statistical inference and estimation subject to constraints. The method can be viewed as 'empirical likelihood with nuisance parameters'. 相似文献
3.
Detection and correction of artificial shifts in climate series 总被引:6,自引:0,他引:6
Henri Caussinus Olivier Mestre 《Journal of the Royal Statistical Society. Series C, Applied statistics》2004,53(3):405-425
Summary. Many long instrumental climate records are available and might provide useful information in climate research. These series are usually affected by artificial shifts, due to changes in the conditions of measurement and various kinds of spurious data. A comparison with surrounding weather-stations by means of a suitable two-factor model allows us to check the reliability of the series. An adapted penalized log-likelihood procedure is used to detect an unknown number of breaks and outliers. An example concerning temperature series from France confirms that a systematic comparison of the series together is valuable and allows us to correct the data even when no reliable series can be taken as a reference. 相似文献
4.
Gianfranco Lovison 《Statistical Papers》2005,46(4):555-574
The identity of the Rao score and PearsonX
2 statistics is well known in the areas where the latter was first introduced: goodness-of-fit in contingency tables and binary
responses. We show in this paper that the same identity holds when the two statistics are used for testing goodness-of-fit
of Generalized Linear Models. We also highlight the connections that exist between the two statistics when they are used for
the comparison of nested models. Finally, we discuss some merits of these unifying results.
Work financially supported by cofin. MIUR grants 2000 and 2002. 相似文献
5.
6.
Summary The paper deals with missing data and forecasting problems in multivariate time series making use of the Common Components
Dynamic Linear Model (DLMCC), presented in Quintana (1985), and West and Harrison (1989).
Some results are presented and discussed: exploiting the correlation between series, estimated by the DLMCC, the paper shows
as it is possible to update state vector posterior distributions for the unobserved series. This is realized on the base of
the updating of the observed series state vectors, for which the usual Kalman filter equations can be applied.
An application concerning some Italian private consumption series provides an example of the model capabilities. 相似文献
7.
Summary This paper solves some D-optimal design problems for certain Generalized Linear Models where the mean depends on two parameters
and two explanatory variables. In all of the cases considered the support point of the optimal designs are found to be independent
of the unknown parameters. While in some cases the optimal design measures are given by two points with equal weights, in
others the support is given by three point with weights depending on the unknown parameters, hence the designs are locally
optimal in general. Empirical results on the efficiency of the locally optimal designs are also given. Some of the designs
found can also be used for planning D-optimal experiments for the normal linear model, where the mean must be positive.
This research was carried out in part at University College, London as an M.Sc. project. Thanks are due to Prof. I. Ford (University
of Glasgow) and Prof. A. Giovagnoli (University of Perugia) for their valuable suggestions and critical observations. 相似文献
8.
Zhang Xueyuan 《湖南文理学院学报(社会科学版)》1996,(6)
本文对系数全为多项式和广义多项式的n阶线性齐次微分方程引入特征方程的概念。给出了具有指数型解的充要条件,推广了经典的常系数线性方程和著名的Euler方程的的解法,为求解变系数线性微分方程提供了有效的方法。 相似文献
9.
汤光宋 《济南大学学报(社会科学版)》1998,(1)
给出二维变系数线性微分系统在已知某解的情形下求通解的公式,并直接应用此公式,导出几类二维变系数线性微分系统的通解公式.对理论和实际应用都是有益的. 相似文献
10.
本文讨论了一类完全竞争条件下的市场均衡问题,供给方的生产特征用线性规划模型进行刻划,市场需求函数源于一般经济意义下的模型,它是一系列相互独立的价格变量的函数.我们将此问题归结为线性互补问题,并依此讨论了均衡点的存在性.本文还讨论了一种用二次规划进行刻划的经济问题,并指出此二次规划的K-K-T条件等价于所讨论的线性互补问题. 相似文献