Open Access
August 2019 Fake uniformity in a shape inversion formula
Christian Rau
Braz. J. Probab. Stat. 33(3): 549-557 (August 2019). DOI: 10.1214/18-BJPS402

Abstract

We revisit a shape inversion formula derived by Panaretos in the context of a particle density estimation problem with unknown rotation of the particle. A distribution is presented which imitates, or “fakes”, the uniformity or Haar distribution that is part of that formula.

Citation

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Christian Rau. "Fake uniformity in a shape inversion formula." Braz. J. Probab. Stat. 33 (3) 549 - 557, August 2019. https://doi.org/10.1214/18-BJPS402

Information

Received: 1 June 2015; Accepted: 1 May 2018; Published: August 2019
First available in Project Euclid: 10 June 2019

zbMATH: 07094817
MathSciNet: MR3960276
Digital Object Identifier: 10.1214/18-BJPS402

Keywords: Conjugation-invariance , fake uniformity , Gram matrix , Inverse problems , random tomography , rotations

Rights: Copyright © 2019 Brazilian Statistical Association

Vol.33 • No. 3 • August 2019
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