Deconvolution Density Estimation

  • David ApplebaumEmail author
Part of the Probability Theory and Stochastic Modelling book series (PTSM, volume 70)


We review the scheme introduced by Kim and Richards for deconvolution density estimation on compact Lie groups. The Fourier transform is used to express the problem in terms of products of matrices of irreducible representations. We introduce a sequence of consistent estimators, by taking cut-offs in a certain Fourier expansion. Some smoothness classes of noise are discussed and used to find optimal rates of convergence of the estimators.


Optimal Rate Consistent Estimator Compound Poisson Process Infinite Divisibility Convergent Fourier Series 
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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsUniversity of SheffieldSheffieldUK

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