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Allaoui S, Bouzebda S, Chesneau C, Liu J. Uniform almost sure convergence and asymptotic distribution of the wavelet-based estimators of partial derivatives of multivariate density function under weak dependence. J Nonparametr Stat 2021. [DOI: 10.1080/10485252.2021.1925668] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Affiliation(s)
- Soumaya Allaoui
- School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, China
| | - Salim Bouzebda
- L.M.A.C., Université de Technologie de Compiègne, Compiègne, France
| | | | - Jicheng Liu
- School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, China
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Affiliation(s)
- Wanli Qiao
- Department of Statistics, George Mason University, Fairfax, VA 22030, USA
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Cheng G, Chen YC. Nonparametric inference via bootstrapping the debiased estimator. Electron J Stat 2019. [DOI: 10.1214/19-ejs1575] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Wei S, Panaretos VM. Empirical evolution equations. Electron J Stat 2018. [DOI: 10.1214/17-ejs1382] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Affiliation(s)
- Yen-Chi Chen
- Department of Statistics, University of Washington, Seattle, WA, USA
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Pulkkinen S. Ridge-based method for finding curvilinear structures from noisy data. Comput Stat Data Anal 2015. [DOI: 10.1016/j.csda.2014.08.007] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Genovese CR, Perone-Pacifico M, Verdinelli I, Wasserman L. Nonparametric ridge estimation. Ann Stat 2014. [DOI: 10.1214/14-aos1218] [Citation(s) in RCA: 54] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Bobrowski O, Mukherjee S. The topology of probability distributions on manifolds. Probab Theory Relat Fields 2014. [DOI: 10.1007/s00440-014-0556-x] [Citation(s) in RCA: 31] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Chacón JE, Duong T. Data-driven density derivative estimation, with applications to nonparametric clustering and bump hunting. Electron J Stat 2013. [DOI: 10.1214/13-ejs781] [Citation(s) in RCA: 53] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Hill BJ, Kendall WS, Thönnes E. Fibre-generated point processes and fields of orientations. Ann Appl Stat 2012. [DOI: 10.1214/12-aoas553] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Genovese CR, Perone-Pacifico M, Verdinelli I, Wasserman L. The Geometry of Nonparametric Filament Estimation. J Am Stat Assoc 2012. [DOI: 10.1080/01621459.2012.682527] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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Durastanti C, Geller D, Marinucci D. Adaptive nonparametric regression on spin fiber bundles. J MULTIVARIATE ANAL 2012. [DOI: 10.1016/j.jmva.2011.05.012] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Biau G, Chazal F, Cohen-Steiner D, Devroye L, Rodríguez C. A weighted k-nearest neighbor density estimate for geometric inference. Electron J Stat 2011. [DOI: 10.1214/11-ejs606] [Citation(s) in RCA: 60] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Caillerie C, Chazal F, Dedecker J, Michel B. Deconvolution for the Wasserstein metric and geometric inference. Electron J Stat 2011. [DOI: 10.1214/11-ejs646] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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