Karol Dziedziul, Magdalena Kucharska, Barbara Wolnik
Abstract
This paper introduces a definition where the smoothness of a function f is characterized by means of the Besov spaces , that is, there is the parameter s* such that for all ss*, . If f is a density with the smoothness s*, then we construct an estimator of s* which is based on histograms.
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This paper introduces a definition where the smoothness of a function f is characterized by means of the Besov spaces , that is, there is the parameter s* such that for all ss*, . If f is a density with the smoothness s*, then we construct an estimator of s* which is based on histograms.
Key concepts: Smoothness, Mathematics, Estimator, Besov space, Density estimation, Construct (python library), Histogram, Applied mathematics