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Albert M, Laurent B, Marrel A, Meynaoui A. Adaptive test of independence based on HSIC measures. Ann Stat 2022. [DOI: 10.1214/21-aos2129] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
Affiliation(s)
- Mélisande Albert
- Institut de Mathématiques de Toulouse; UMR 5219 Université de Toulouse; CNRS, INSA
| | - Béatrice Laurent
- Institut de Mathématiques de Toulouse; UMR 5219 Université de Toulouse; CNRS, INSA
| | - Amandine Marrel
- CEA, DES, IRESNE, DER, Cadarache Center and Institut de Mathématiques de Toulouse; UMR 5219 Université de Toulouse; CNRS
| | - Anouar Meynaoui
- Institut de Mathématiques de Toulouse; UMR 5219 Université de Toulouse; CNRS, INSA
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Schluttenhofer S, Johannes J. Adaptive Minimax Testing for Circular Convolution. MATHEMATICAL METHODS OF STATISTICS 2021. [DOI: 10.3103/s1066530720020039] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Autin F, Clausel M, Freyermuth JM, Marteau C. Maxiset Point of View for Signal Detection in Inverse Problems. MATHEMATICAL METHODS OF STATISTICS 2019. [DOI: 10.3103/s1066530719030037] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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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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Marteau C, Sapatinas T. Minimax signal detection under weak noise assumptions. MATHEMATICAL METHODS OF STATISTICS 2017. [DOI: 10.3103/s1066530717040032] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Fromont M, Lerasle M, Reynaud-Bouret P. Family-Wise Separation Rates for multiple testing. Ann Stat 2016. [DOI: 10.1214/15-aos1418] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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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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Marteau C, Sapatinas T. A unified treatment for non-asymptotic and asymptotic approaches to minimax signal detection. STATISTICS SURVEYS 2015. [DOI: 10.1214/15-ss112] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Marteau C, Mathé P. General regularization schemes for signal detection in inverse problems. MATHEMATICAL METHODS OF STATISTICS 2014. [DOI: 10.3103/s1066530714030028] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Loubes J, Marteau C. Goodness-of-fit testing strategies from indirect observations. J Nonparametr Stat 2013. [DOI: 10.1080/10485252.2013.827680] [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]
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Schmidt-Hieber J, Munk A, Dümbgen L. Multiscale methods for shape constraints in deconvolution: Confidence statements for qualitative features. Ann Stat 2013. [DOI: 10.1214/13-aos1089] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Comminges L, Dalalyan AS. Minimax testing of a composite null hypothesis defined via a quadratic functional in the model of regression. Electron J Stat 2013. [DOI: 10.1214/13-ejs766] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Ingster YI, Sapatinas T, Suslina IA. Minimax signal detection in ill-posed inverse problems. Ann Stat 2012. [DOI: 10.1214/12-aos1011] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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