On the estimation of monotone uniform approximations

DOI10.1016/S0167-7152(97)00033-3zbMath0885.60027OpenAlexW1976437586MaRDI QIDQ1373949

M. J. López-Palomo, J. Santos Domínguez-Menchero

Publication date: 1 April 1998

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

Full work available at URL: https://doi.org/10.1016/s0167-7152(97)00033-3

zbMATH Keywords

monotone approximationsregression functionuniform consistencykernel regression estimate

Mathematics Subject Classification ID

Density estimation (62G07) Strong limit theorems (60F15)

Related Items (2)

New designs to consistently estimate the isotonic regression ⋮ AnL₂point of view in testing monotone regression

Cites Work

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• Strong limit theorems for maximal spacings from a general univariate distribution
• Conditional bounds and best \(L_{\infty}\)-approximations in probability spaces
• Estimating a smooth monotone regression function
• Isotone optimization. II
• Some stochastics on monotone functions
• Consistency of \(L_ p\)-best monotone approximations
• Weak and strong uniform consistency of kernel regression estimates
• The uniform convergence of the nadaraya‐watson regression function estimate

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