Adaptive multivariate histograms that are obtained through recursive partitioning of the sample space are studied. The central idea is to consider the tree-structured histogram as a wavelet estimator based on the orthogonal system of Haar functions. From the formula for the mean squared error a spatially adaptive data-driven smoothing method is proposed leading to an unequal bin width histogram.
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Publisher Info
Paper provided by University of Bonn, Germany in its series Discussion Paper Serie A with number
415.
Length: 14 pages Date of creation: Aug 1993 Date of revision: Handle: RePEc:bon:bonsfa:415
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