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Benhaddou R, Liu Q. Minimax adaptive wavelet estimator for the anisotropic functional deconvolution model with unknown kernel. COMMUN STAT-THEOR M 2020. [DOI: 10.1080/03610926.2019.1617880] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- Rida Benhaddou
- Department of Mathematics, Ohio University, Athens, Ohio, USA
| | - Qing Liu
- Department of Mathematics, Ohio University, Athens, Ohio, USA
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Nonparametric intensity estimation from noisy observations of a Poisson process under unknown error distribution. METRIKA 2019. [DOI: 10.1007/s00184-019-00716-7] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Benhaddou R. Blind deconvolution model in periodic setting with fractional Gaussian noise. COMMUN STAT-THEOR M 2019. [DOI: 10.1080/03610926.2017.1417431] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Minimax lower bounds for the simultaneous wavelet deconvolution with fractional Gaussian noise and unknown kernels. Stat Probab Lett 2018. [DOI: 10.1016/j.spl.2018.05.002] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Marteau C, Sapatinas T. Minimax goodness-of-fit testing in ill-posed inverse problems with partially unknown operators. ANNALES DE L'INSTITUT HENRI POINCARÉ, PROBABILITÉS ET STATISTIQUES 2017. [DOI: 10.1214/16-aihp768] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Affiliation(s)
- Céline Duval
- Université Paris Descartes, Sorbonne Paris Cité, Laboratoire MAP5, UMR CNRS 8145, Paris, France
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Ingster Y, Laurent B, Marteau C. Signal detection for inverse problems in a multidimensional framework. MATHEMATICAL METHODS OF STATISTICS 2015. [DOI: 10.3103/s1066530714040036] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Vareschi T. Application of second generation wavelets to blind spherical deconvolution. J MULTIVARIATE ANAL 2014. [DOI: 10.1016/j.jmva.2013.11.012] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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