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Nonparametric density estimation with grouped observations
Authors:P. H.C. Eilers
Affiliation:Rijnmond Central Environmental Agency 's-Gravelandseweg 565 NL-3179 XT Schiedam The Netherlands
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.
Keywords:penalized likelihood estimation    density estimation    finite differences    histogram
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