共查询到13条相似文献,搜索用时 0 毫秒
1.
1.IntroductionThispaperwillusethefollowingnotations.ForanymatrixA,A andW(A)denotetheMoors-PenroseinverseandthecolumnspaceofA,respectively.ForanysquarematrixA,IAImeansthedeterminantofA,A20(A>0)meansAisnonnegative(positive)definite.ConsidertheGauss-MarkovmodelY=Xo e,E(e)=0,Coy(e)~a'E,(1.1)whereYisann-dimensionalobservablerandomvector,XisannxpknownmatrixwithcolUInn-fUllrank,Tisapdimensionalparametervector,eisann-dimensionalunobserVablerandomvector,aZisanunknownpositiveparameter,Z20.I… 相似文献
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In this paper jackknifing technique is examined for functions of the parametric component in a partially linear regression model with serially correlated errors. By deleting partial residuals a jackknife-type estimator is proposed. It is shown that the jackknife-type estimator and the usual semiparametric least-squares estimator (SLSE) are asymptotically equivalent. However, simulation shows that the former has smaller biases than the latter when the sample size is small or moderate. Moreover, since the errors are correlated, both the Tukey type and the delta type jackknife asymptotic variance estimators are not consistent. By introducing cross-product terms, a consistent estimator of the jackknife asymptotic variance is constructed and shown to be robust against heterogeneity of the error variances. In addition, simulation results show that confidence interval estimation based on the proposed jackknife estimator has better coverage probability than that based on the SLSE, even though the latter uses the information of the error structure, while the former does not. 相似文献
3.
Naoto Kunitomo 《Annals of the Institute of Statistical Mathematics》1987,39(1):575-591
Summary The maximum likelihood (ML) estimator and its modification in the linear functional relationship model with incidental parameters
are shown to be third-order asymptotically efficient among a class of almost median-unbiased and almost mean-unbiased estimators,
respectively, in the large sample sense. This means that the limited information maximum likelihood (LIML) estimator in the
simultaneous equation system is third-order asymptotically efficient when the number of excluded exogenous variables in a
particular structural equation is growing along with the sample size. It implies that the LIML estimator has an optimum property
when the system of structural equations is large.
The research was partly supported by National Science Foundation Grant SES 79-13976 at the Institute for Mathematical Studies
in the Social Sciences, Stanford University and Grant-in-Aid 60301081 of the Ministry of Education, Science and Culture at
the Faculty of Economics, University of Tokyo. This paper was originally written as a part of the author's Ph.D. dissertation
submitted to Stanford University in August, 1981. Some details of the paper were deleted at the suggestion of the associate
editor of this journal. 相似文献
4.
Summary For the testing problem concerning the coefficients of the multivariate linear functional relationship model, the distribution
of a statistic previously proposed by A. P. Basu depends on the unknown covariance matrixV of errors, so limiting its applicability. This article proposes new test statistics with sampling distributions which are
independent of the unknown parameters for the cases whereV is either unknown or known only up to a proportionality factor. The exact distributions of the test statistics are also discussed. 相似文献
5.
In this article,the empirical Bayes(EB)estimators are constructed for the estimable functions of the parameters in partitioned normal linear model.The superiorities of the EB estimators over ordinary least-squares(LS)estimator are investigated under mean square error matrix(MSEM)criterion. 相似文献
6.
胡舒合 《中国科学A辑(英文版)》2002,45(2):137-146
We study the parameter estimation in a nonlinear regression model with a general error's structure,strong consistency and strong consistency rate of the least squares estimator are obtained. 相似文献
7.
Conditions for the convergence of parameter estimates to the true value applicable in continuous time linear stochastic evolution systems are presented. A special case, continuous time linear stochastic systems with delays, is also considered. A persistent excitation property is proved by control theory methods 相似文献
8.
Hiroyuki Uesaka Chooichiro Asano 《Annals of the Institute of Statistical Mathematics》1987,39(1):191-210
Summary A multivariate latent scale linear model is defined for multivariate ordered categorical responses and inference procedures
based on the weighted least squares method are developed. Several applications of the model are suggested and illustrated
through an analysis of real data. Asymptotic properties of the weighted least squares method are examined and some consequences
of misspecification of the model are also discussed. 相似文献
9.
Recently, Kundu and Gupta (Metrika, 48:83 C 97, 1998) established the asymptotic normality of the least squares estimators in the two dimensional cosine model. In this paper, we give the approximation to the general least squares estimators by using random weights which is called the Bayesian bootstrap or the random weighting method by Rubin (Annals of Statistics, 9:130 C 134, 1981) and Zheng (Acta Math. Appl. Sinica (in Chinese), 10(2): 247 C 253, 1987). A simulation study shows that this approximation works very well. 相似文献
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Hirokazu Yanagihara 《Journal of multivariate analysis》2003,84(2):222-246
This paper is concerned with the null distribution of test statistic T for testing a linear hypothesis in a linear model without assuming normal errors. The test statistic includes typical ANOVA test statistics. It is known that the null distribution of T converges to χ2 when the sample size n is large under an adequate condition of the design matrix. We extend this result by obtaining an asymptotic expansion under general condition. Next, asymptotic expansions of one- and two-way test statistics are obtained by using this general one. Numerical accuracies are studied for some approximations of percent points and actual test sizes of T for two-way ANOVA test case based on the limiting distribution and an asymptotic expansion. 相似文献
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聚集数据线性模型参数估计的相对效率与广义相关系数 总被引:2,自引:0,他引:2
对于聚集数据的线性模型,本文给出了Peter—Karsten估计相对于最佳线性无偏估计的一个相对效率,得到了相对效率的下界,讨论了该相对效率与广义相关系数的关系. 相似文献