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This paper, investigates the conditional quantile estimation of a scalar random response and a functional random covariate (i.e. valued in some infinite-dimensional space) whenever {\it functional stationary ergodic data with random…

Statistics Theory · Mathematics 2013-04-17 Mohamed Chaouch , Salah Khardani

Let $ (T_i)_i$ be a sequence of independent identically distributed (i.i.d.) random variables (r.v.) of interest distributed as $ T$ and $(X_i)_i$ be a corresponding vector of covariates taking values on $ \mathbb{R}^d$. In censorship…

Statistics Theory · Mathematics 2019-01-29 Bouhadjera Feriel , Ould Saïd , Mohamed Remita

In this paper we consider the nonparametric estimation of density and regression functions with non-negative support using a gamma kernel procedure introduced by Chen (2000). Strong uniform consistency and asymptotic normality of the…

Statistics Theory · Mathematics 2016-10-18 A. C. Rosa , M. E. Nogueira

We consider linear regression model estimation where the covariate of interest is randomly censored. Under a non-informative censoring mechanism, one may obtain valid estimates by deleting censored observations. However, this comes at a…

Applications · Statistics 2017-10-24 Folefac Atem , Roland A. Matsouaka

Analysis of random censored life-time data along with some related stochastic covariables is of great importance in many applied sciences like medical research, population studies and planning etc. The parametric estimation technique…

Statistics Theory · Mathematics 2019-05-09 Abhik Ghosh , Ayanendranath Basu

In this paper, we consider a partial deconvolution kernel estimator for nonparametric regression when some covariates are measured with error while others are observed without error. We focus on a general and realistic setting in which the…

Statistics Theory · Mathematics 2026-01-29 Baba Thiam

In this paper, we are concerned with nonparametric estimation of the multivariate regression function in the presence of right censored data. More precisely, we propose a statistic that is shown to be asymptotically normally distributed…

Statistics Theory · Mathematics 2008-02-08 Mohammed Debbarh , Vivian Viallon

In this paper, we study the behavior of a kernel estimator of the regression function in the right censored model with $\alpha$-mixing data . The uniform strong consistency over a real compact set of the estimate is established along with a…

Statistics Theory · Mathematics 2008-02-21 Zohra Guessoum , Elias Ould-Saïd

In this paper, we built a new nonparametric regression estimator with the local linear method by using the mean squared relative error as a loss function when the data are subject to random right censoring. We establish the uniform almost…

Statistics Theory · Mathematics 2020-04-07 Feriel Bouhadjera , Elias Saïd

This paper concerns the estimation of the regression function at a given point in nonparametric heteroscedastic models with Gaussian noise or with noise having unknown distribution. In the two cases an asymptotically efficient kernel…

Statistics Theory · Mathematics 2007-11-30 Jean-Yves Brua

In this article, we propose some new generalizations of M-estimation procedures for single-index regression models in presence of randomly right-censored responses. We derive consistency and asymptotic normality of our estimates. The…

Statistics Theory · Mathematics 2008-12-18 Olivier Lopez

Consider a random vector (X, T), where X is d-dimensional and T is one-dimensional. We suppose that the random variable T is subject to random right censoring and satisfies the $\alpha$-mixing property. The aim of this paper is to study the…

Statistics Theory · Mathematics 2019-10-07 Bouhadjera Feriel , Elias Ould Said

Consider the nonparametric regression model Y=m(X)+E, where the function m is smooth but unknown, and E is independent of X. An estimator of the density of the error term E is proposed and its weak consistency is obtained. The contribution…

Statistics Theory · Mathematics 2011-12-25 Rawane Samb

We introduce and study a local linear nonparametric regression estimator for censorship model. The main goal of this paper is, to establish the uniform almost sure consistency result with rate over a compact set for the new estimate. To…

Statistics Theory · Mathematics 2020-04-07 Feriel Bouhadjera , Elias Saïd , Riad Remita

Structural Nested Mean Models (SNMMs) are useful for causal inference of treatment effects in longitudinal observational studies. Most existing works assume that the data are collected at pre-fixed time points for all subjects, which,…

Methodology · Statistics 2020-01-13 Shu Yang

In this article, basing on NQD samples, we investigate the fixed design nonparametric regression model, where the errors are pairwise NQD random errors, with fixed design points, and an unknown function. Nonparametric weighted estimator…

Statistics Theory · Mathematics 2013-12-04 Jian-hua Shi , Xiao-ping Chen , Yong Zhou

In this paper, we study nonparametric models allowing for locally stationary regressors and a regression function that changes smoothly over time. These models are a natural extension of time series models with time-varying coefficients. We…

Statistics Theory · Mathematics 2013-02-19 Michael Vogt

We investigate nonparametric estimation of sliced inverse regression (SIR) via the $k$-nearest neighbors approach with a kernel. An estimator of the covariance matrix of the conditional expectation of the explanatory random vector given the…

Statistics Theory · Mathematics 2025-05-27 Luran Bengono Mintogo , Emmanuel de Dieu Nkou , Guy Martial Nkiet

This paper deals with the nonparametric density estimation of the regression error term assuming its independence with the covariate. The difference between the feasible estimator which uses the estimated residuals and the unfeasible one…

Statistics Theory · Mathematics 2010-10-05 Rawane Samb

In this paper, we study the local constant and the local linear estimators of the conditional density function with right-censored data which exhibit some type of dependence. It is assumed that the observations form a stationary…

Statistics Theory · Mathematics 2019-07-12 Xianzhu Xiong , Meijuan Ou
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