Estimating nonlinear regression errors without doing regression
AbstractA method for estimating nonlinear regression errors and their distributions without performing regression is presented. Assuming continuity of the modeling function the variance is given in terms of conditional probabilities extracted from the data. For N data points the computational demand is N2. Comparing the predicted residual errors with those derived from a linear model assumption provides a signal for nonlinearity. The method is successfully illustrated with data generated by the Ikeda and Lorenz maps augmented with noise. As a by-product the embedding dimensions of these maps are also extracted.
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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 1404.3219.
Date of creation: Apr 2014
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Web page: http://arxiv.org/
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