文章基本信息

标题：MIVQUE and Maximum Likelihood Estimation for Multivariate Linear Models with Incomplete Observations
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作者：David Causeur ; Laboratoire de Math\'{e}matiques Appliqu\'{e}es, Rennes, France
期刊名称：Sankhya. Series A, mathematical statistics and probability
印刷版ISSN：0976-836X
电子版ISSN：0976-8378
出版年度：2006
卷号：68
期号：03
出版社：Indian Statistical Institute
摘要：The problem of estimating the parameters of multivariate linear models in the context of an arbitrary pattern of missing data is addressed in the present paper. While this problem is frequently handled by EM strategies, we propose a Gauss-Markov approach based on an initial linearization of the covariance of the model. A complete class of quadratic estimators is first exhibited in order to derive locally Minimum Variance Quadratic Unbiased Estimators (MIVQUE) of the variance parameters. Apart from the interest in locally MIVQUE itself, this approach gives more insight into maximum likelihood estimation. Indeed, an iterated version of MIVQUE is proposed as an alternative to EM to calculate the maximum likelihood estimators. Finally, MIVQUE and maximum likelihood estimation are compared by simulations.
关键词：Incomplete observations, MIVQUE, multivariate linear models