Nonparametric density estimation with grouped observations |
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Authors: | P. H.C. Eilers |
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Affiliation: | Rijnmond Central Environmental Agency 's-Gravelandseweg 565 NL-3179 XT Schiedam The Netherlands |
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Abstract: | A smooth and detailed distribution is fitted to coarsely grouped frequency data by a nonparametric approach, based on penalized maximum likelihood. The estimated distribution conserves mean and variance of the data. The numerical solution is described and a compact and simplified algorithm is given. The procedure is applied to two empirical datasets. |
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Keywords: | penalized likelihood estimation density estimation finite differences histogram |
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