On the local linear modelization of the conditional distribution for functional data

DOI10.1007/s13171-013-0050-zzbMath1307.62093OpenAlexW2078005940MaRDI QIDQ2257033

Saâdia Rahmani, Ali Laksaci, Jacques Demongeot, Mustapha Rachdi

Publication date: 23 February 2015

Published in: Sankhyā. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13171-013-0050-z

zbMATH Keywords

local linear estimatornonparametric modelconditional distributionfunctional datasmall balls probability

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nonparametric robustness (62G35) Nonparametric estimation (62G05)

Related Items (18)

Asymptotic properties of a nonparametric conditional density estimator in the local linear estimation for functional data via a functional single-index model ⋮ Asymptotic results of a nonparametric conditional cumulative distribution estimator in the single functional index modeling for time series data with applications ⋮ Regression model for surrogate data in high dimensional statistics ⋮ Computational aspects of the kNN local linear smoothing for some conditional models in high dimensional statistics ⋮ Local linear conditional cumulative distribution function with mixing data ⋮ k‐Nearest neighbors local linear regression for functional and missing data at random ⋮ FDA: theoretical and practical efficiency of the local linear estimation based on the kNN smoothing of the conditional distribution when there are missing data ⋮ Non parametric estimations of the conditional density and mode when the regressor and the response are curves ⋮ Unnamed Item ⋮ Local polynomial modelling of the conditional quantile for functional data ⋮ Unnamed Item ⋮ Local linear estimation of the conditional cumulative distribution function: censored functional data case ⋮ Asymptotic normality of conditional mode estimation for functional dependent data ⋮ On the local linear modelization of the conditional density for functional and ergodic data ⋮ Asymptotic normality of the local linear estimation of the conditional density for functional time-series data ⋮ \(k\)NN local linear estimation of the conditional cumulative distribution function: dependent functional data case ⋮ Asymptotic normality of locally modelled regression estimator for functional data ⋮ Functional data analysis: local linear estimation of the \(L_1\)-conditional quantiles

Uses Software

• fda (R)

Cites Work

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