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An important problem in microarray experiments is the detection of genes that are differentially expressed in agiven mumber of classes. We consider a straightforward and easily implemented method for estimating the posterior probability that an individual gene is null. The problem can be...
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Nonparametric estimation of the conditional mean function for additive models is investigated in cases where the observed data are dependent. We use an additive kernel estimator which is a sum of Nadaraya--Watson estimators. Under a strong mixing condition, the kernel estimator is shown to be...
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Diagnosis based on medical image data is common in clinical research and clinical routine. We discuss a strategy to derive a classifier with good performance on clinical image data and to justify the properties of the classifier by an adapted simulation model of image data. As learning set we...
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The construction of simple classification rules is a frequent problem in medical research. For example a difference in overall survival time may suggest distinct types, i.e. subgroups of patients, of diffuse large B-cell lymphoma identified by gene expression profiling. Maximally selected rank...
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The combination of classifiers leads to substantial reduction of misclassification error in a wide range of applications and benchmark problems. We suggest to use the out-of-bag sample for combining different classifiers. In our setup, a Linear Discriminant Analysis is performed using the...
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