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• W2263497564 abstract "With large-scale database systems, statistical analysis of data, occurring in the form of probability distributions, becomes an important task in explorative data analysis. Nevertheless, due to specific properties of density functions, their proper statistical treatment of these data still represents a challenging task in functional data analysis. Namely, the usual L2 metric does not fully accounts for the relative character of information, carried by density functions; instead, their geometrical features are captured by Bayes spaces of measures. The easiest possibility of expressing density functions in an L2 space is to use centred logratio transformation, even though this results in functional data with a constant integral constraint that needs to be taken into account in further analysis. While theoretical background for reasonable analysis of density functions is already provided comprehensively by Bayes spaces themselves, preprocessing issues still need to be developed. The aim of this paper is to introduce optimal smoothing splines for centred logratio transformed density functions that take all their specific features into account and provide a concise methodology for reasonable preprocessing of raw (discretized) distributional observations. Theoretical developments are illustrated with a real-world data set from official statistics and with a simulation study." @default.
• W2263497564 created "2016-06-24" @default.
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• W2263497564 date "2015-12-22" @default.
• W2263497564 modified "2023-10-17" @default.
• W2263497564 title "Preprocessing of centred logratio transformed density functions using smoothing splines" @default.
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• W2263497564 doi "https://doi.org/10.1080/02664763.2015.1103706" @default.
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