Estimating the geometric median in Hilbert spaces with stochastic gradient algorithms: Lp and almost sure rates of convergence
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DOI: 10.1016/j.jmva.2015.09.013
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References listed on IDEAS
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- Godichon-Baggioni, Antoine & Lu, Wei, 2024. "Online stochastic Newton methods for estimating the geometric median and applications," Journal of Multivariate Analysis, Elsevier, vol. 202(C).
- Hervé Cardot & Antoine Godichon-Baggioni, 2017. "Fast estimation of the median covariation matrix with application to online robust principal components analysis," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(3), pages 461-480, September.
- Mokkadem, Abdelkader & Pelletier, Mariane, 2020. "Online estimation of integrated squared density derivatives," Statistics & Probability Letters, Elsevier, vol. 166(C).
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- Mokkadem, Abdelkader & Pelletier, Mariane, 2021. "A compact law of the iterated logarithm for online estimator of hazard rate under random censoring," Statistics & Probability Letters, Elsevier, vol. 178(C).
- Vishwajit Hegde & Arvind S. Menon & L. A. Prashanth & Krishna Jagannathan, 2021. "Online Estimation and Optimization of Utility-Based Shortfall Risk," Papers 2111.08805, arXiv.org, revised Nov 2023.
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Keywords
Functional data analysis; Law of large numbers; Martingales in Hilbert space; Recursive estimation; Robust statistics; Spatial median; Stochastic gradient algorithms;All these keywords.
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