Goodness-of-fit test for noisy directional data
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Publication:470069
DOI10.3150/13-BEJ553zbMath1357.62192arXiv1203.2008OpenAlexW1989811366MaRDI QIDQ470069
Claire Lacour, Thanh Mai Pham Ngoc
Publication date: 11 November 2014
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.2008
spherical harmonicsadaptive testingminimax hypothesis testingspherical deconvolutionnonparametric alternatives
Directional data; spatial statistics (62H11) Density estimation (62G07) Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20)
Related Items (11)
On Sobolev tests of uniformity on the circle with an extension to the sphere ⋮ Recent advances in directional statistics ⋮ Harmonic analysis and distribution-free inference for spherical distributions ⋮ On the power of axial tests of uniformity on spheres ⋮ A unified treatment for non-asymptotic and asymptotic approaches to minimax signal detection ⋮ Adaptive minimax testing for circular convolution ⋮ Signal detection for inverse problems in a multidimensional framework ⋮ Supersmooth testing on the sphere over analytic classes ⋮ Rate optimal estimation of quadratic functionals in inverse problems with partially unknown operator and application to testing problems ⋮ Testing uniformity on high-dimensional spheres: the non-null behaviour of the Bingham test ⋮ Maxiset point of view for signal detection in inverse problems
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