Adaptive density estimation for directional data using needlets

Details Adaptive density estimation for directional data using needlets Adaptive density estimation for directional data using needlets

2008-07-31

arxiv.org/abs/0807.5059v1

Annals of Statistics, Vol. 37, (2009), pp. 3362-3395

Mathematics

Statistics Theory

30 pages, 9 figures

Scientific paper

This paper is concerned with density estimation of directional data on the
sphere. We introduce a procedure based on thresholding on a new type of
spherical wavelets called {\it needlets}. We establish a minimax result and
prove its optimality. We are motivated by astrophysical applications, in
particular in connection with the analysis of ultra high energy cosmic rays.

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