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- W3208959054 abstract "This work proposes an analysis of the correction term appearing in a Small-Ball Probability factorization for random elements taking values in a separable Hilbert space. Its local nature, its meaning and behavior are discussed also through the derivation of some bounds. Nonparametric kernel-type estimators of the considered statistics are introduced and some asymptotic properties are provided. Finally, in the context of reconstructing a sample of curves by truncated Karhunen–Loève expansion, a local approach to select the dimensionality is illustrated through numerical and real data examples." @default.
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- W3208959054 date "2022-05-01" @default.
- W3208959054 modified "2023-09-23" @default.
- W3208959054 title "The correction term in a small-ball probability factorization for random curves" @default.
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- W3208959054 doi "https://doi.org/10.1016/j.jmva.2021.104891" @default.
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