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Common simplifications of the bandwidth matrix cannot be applied to existing kernels for density estimation with compositional data. In this paper, kernel density estimation methods are modified on the basis of recent developments in compositional data analysis and bandwidth matrix selection theory. The isometric log-ratio normal kernel is used to define a new estimator in which the smoothing parameter...
The presence of rounded zeros results in an important drawback for the statistical analysis of compositional data. Data analysis methodology based on log-ratios cannot be applied under these conditions. In this paper rounded zeros are considered as a special kind of missing data. Thus, an EM-type computational algorithm for replacing them is provided. The procedure is based on the additive logistic...
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