Uniform consistency of a class of regression function estimators for Banach-space valued random variables

DOI10.1016/0167-7152(90)90010-5zbMath0699.62039OpenAlexW1967220049MaRDI QIDQ913407

Jean-Pierre Lecoutre

Publication date: 1990

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(90)90010-5

zbMATH Keywords

random variablesalmost complete convergenceuniformly consistentBanach-space valuedinfinite-dimensional probability inequalities for sumsstatistically equivalent blocks estimator

Mathematics Subject Classification ID

Nonparametric estimation (62G05) General nonlinear regression (62J02)

Related Items (7)

Convergence rate of kernel regression estimation for time series data when both response and covariate are functional ⋮ Estimation in nonparametric functional-on-functional models with surrogate responses ⋮ Non parametric estimations of the conditional density and mode when the regressor and the response are curves ⋮ Recursive estimation of the conditional geometric median in Hilbert spaces ⋮ Kernel regression with functional response ⋮ Nonparametric regression for functional response and functional regressor under dependance ⋮ Conditional Functional Principal Components Analysis

Cites Work

• Almost surely consistent nonparametric regression from recursive partitioning schemes
• Consistent nonparametric regression from recursive partitioning schemes
• Exponential inequalities for sums of random vectors
• Non-Parametric Estimation II. Statistically Equivalent Blocks and Tolerance Regions--The Continuous Case
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