Estimation du mode dans un espace vectoriel semi-normé |
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| Authors: | Sophie Dabo-Niang Frédéric Ferraty Philippe Vieu |
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| Affiliation: | 1. Université Pierre et Marie Curie, Paris VI, 4, place Jussieu, 75005 Paris, France;2. Laboratoire de statistique, CREST, timbre J340, 3, avenue Pierre Larousse, 92245 Malakoff cedex, France;3. Laboratoire de statistique et probabilités, université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse, France;4. Université Toulouse le Mirail, Toulouse 2, 5, allées Antonio Machado, 31058 Toulouse cedex 9, France |
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| Abstract: | We investigate a nonparametric estimate of the mode of a density function of a random variable taking values in a semi-normed vectorial space of eventually infinite dimension. The strong consistency of the estimate is shown. Special attention will be paid to apply our result to the case where the probability distribution of our random variable satisfies a concentration condition. To cite this article: S. Dabo-Niang et al., C. R. Acad. Sci. Paris, Ser. I 339 (2004). |
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