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Titlebook: Linear Statistical Inference; Proceedings of the I T. Caliński,W. Klonecki Conference proceedings 1985 Springer-Verlag Berlin Heidelberg 19

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Some Geometric Tools for the Gaussian Linear Model with Applications to the Analysis of Residuals,lation which we advocate leads to straightforward results concerning the optimality of some procedures and enables us to give a clear account of the assumptions which are used. The problem of k outliers detection is more specially discussed, including the case where k is not fixed.
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Approximate Design Theory for a Simple Block Design with Random Block Effects,plication vector, only, and are called special C-matrices. We establish a disjunction which the matrix-ordering of two special C-matrices enforces on the associated replication vectors. This entails, in particular, that one--treatment-per-block designs are admissible provided no treatment gets more than one half of all observations.
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Linear Statistical Inference Based on L-Estimators,ther uknown or only partially known. We want to find an estimator for . which has high efficiency under normal d.f. F but which is able to endure mild perturbations from normality. The latter requirement is not satisfied by the classicial least-squares estimator (LSE).
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On Improving Estimation in a Restricted Gauss-Markov Model, in the model, while the second estimator additionally utilizes some linear restrictions which are not necessary fulfilled by the vector parameters. The criteria of the superiority of one of the estimators over the other are expressed by the conditions on parameters of a well defined probability density function.
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K. Christof,F. Pukelsheimcise and explain how to perform and interpret these studies. The utility of the resource is further enhanced by several sections of actual patient cases, which provide opportunities to begin developing test interpretation skills. Given the widespread use of cardiopulmonary exercise testing in clinic
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