Möbius deconvolution on the hyperbolic plane with application to impedance density estimation

DOI10.1214/09-AOS783zbMath1203.62055arXiv1010.4202OpenAlexW2001056648MaRDI QIDQ988012

Ja-Yong Koo, Axel Munk, Stephan F. Huckemann, Peter T. Kim

Publication date: 24 August 2010

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.4202

zbMATH Keywords

Fourier analysiscross-validationhyperbolic spaceLaplace-Beltrami operatordeconvolutionCayley transformMöbius transformationspecial linear groupupper half-planeimpedancestatistical inverse problemsHelgason-Fourier transform

Mathematics Subject Classification ID

Density estimation (62G07) Applications of statistics in engineering and industry; control charts (62P30) Applications of statistics to physics (62P35) Abstract harmonic analysis (43A99) Analysis on other specific Lie groups (43A80)

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Uses Software

• KernSmooth

Cites Work

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