A target distribution model for nonparametric density estimation |
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Authors: | C.D. Elphinstone |
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Affiliation: | Mathematical Sciences of the CSIR , National Research Institute , P.O. Box 395, Pretoria, 0001, South Africa |
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Abstract: | In this paper a model is proposed which represents a wide class of continuous distributions. It is shown how the parameters of this model can be estimated leading to a distribution estimator and a corresponding density estimator. An important property of this estimator is that it can be structured to reflect a priori knowledge of the unknown distribution. Finally, some examples are shown and some comparisons made with kernel and orthogonal series estimators. |
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Keywords: | kernel density estimation orthogonal series estimation minimum distance |
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