Geodesic
Rate of the almost sure convergence of a generalized regression estimate based on truncated and functional data
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 4, pp. 480-491

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In this paper, a nonparametric estimation of a generalized regression function is proposed. The real response random variable (r.v.) is subject to left-truncation by another r.v. while the covariate takes its values in an infinite dimensional space. Under standard assumptions, the pointwise and the uniform almost sure convergences, of the proposed estimator, are established.
Keywords: functional data, truncated data, almost sure convergence, local linear estimator. 
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     author = {Halima Boudada and Sara Leulmi and Soumia Kharfouch},
     title = {Rate of the almost sure convergence of a generalized regression estimate based on truncated and functional data},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {480--491},
     publisher = {mathdoc},
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     number = {4},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2020_13_4_a9/}
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Halima Boudada; Sara Leulmi; Soumia Kharfouch. Rate of the almost sure convergence of a generalized regression estimate based on truncated and functional data. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 4, pp. 480-491. http://geodesic.mathdoc.fr/item/JSFU_2020_13_4_a9/