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Research Article

Uniform convergence rate of the kernel regression estimator adaptive to intrinsic dimension in presence of censored data

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Pages 864-914 | Received 29 Dec 2019, Accepted 03 Oct 2020, Published online: 17 Oct 2020

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Read on this site (7)

Salim Bouzebda, Salah Khardani & Yousri Slaoui. (2023) Asymptotic normality of the regression mode in the nonparametric random design model for censored data. Communications in Statistics - Theory and Methods 52:19, pages 7069-7093.
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Salim Bouzebda & Amel Nezzal. (2023) Asymptotic properties of conditional U-statistics using delta sequences. Communications in Statistics - Theory and Methods 0:0, pages 1-56.
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Khalid Chokri & Salim Bouzebda. (2022) Uniform-in-bandwidth consistency results in the partially linear additive model components estimation. Communications in Statistics - Theory and Methods 0:0, pages 1-42.
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Salim Bouzebda & Sultana Didi. (2022) Some results about kernel estimators for function derivatives based on stationary and ergodic continuous time processes with applications. Communications in Statistics - Theory and Methods 51:12, pages 3886-3933.
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Soumaya Allaoui, Salim Bouzebda & Jicheng Liu. (2022) Multivariate wavelet estimators for weakly dependent processes: strong consistency rate. Communications in Statistics - Theory and Methods 0:0, pages 1-34.
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Salim Bouzebda, Issam Elhattab & Boutheina Nemouchi. (2021) On the uniform-in-bandwidth consistency of the general conditional U-statistics based on the copula representation. Journal of Nonparametric Statistics 33:2, pages 321-358.
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Soumaya Allaoui, Salim Bouzebda, Christophe Chesneau & Jicheng Liu. (2021) Uniform almost sure convergence and asymptotic distribution of the wavelet-based estimators of partial derivatives of multivariate density function under weak dependence. Journal of Nonparametric Statistics 33:2, pages 170-196.
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Articles from other publishers (12)

Salim BOUZEBDA. (2023) On the weak convergence and the uniform-in-bandwidth consistency of the general conditional $U$-processes based on the copula representation: multivariate setting. Hacettepe Journal of Mathematics and Statistics 52:5, pages 1303-1348.
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Salim Bouzebda & Nourelhouda Taachouche. (2023) On the variable bandwidth kernel estimation of conditional -statistics at optimal rates in sup-norm . Physica A: Statistical Mechanics and its Applications 625, pages 129000.
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Salim Bouzebda, Thouria El-hadjali & Anouar Abdeldjaoued Ferfache. (2022) Uniform in Bandwidth Consistency of Conditional U-statistics Adaptive to Intrinsic Dimension in Presence of Censored Data. Sankhya A 85:2, pages 1548-1606.
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Salim Bouzebda. (2023) General tests of conditional independence based on empirical processes indexed by functions. Japanese Journal of Statistics and Data Science 6:1, pages 115-177.
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Inass Soukarieh & Salim Bouzebda. (2023) Renewal type bootstrap for increasing degree U-process of a Markov chain. Journal of Multivariate Analysis 195, pages 105143.
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Salim Bouzebda & Nourelhouda Taachouche. (2023) Rates of the Strong Uniform Consistency for the Kernel-Type Regression Function Estimators with General Kernels on Manifolds. Mathematical Methods of Statistics 32:1, pages 27-80.
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Salim Bouzebda & Yousri Slaoui. (2022) Nonparametric Recursive Estimation for Multivariate Derivative Functions by Stochastic Approximation Method. Sankhya A 85:1, pages 658-690.
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Salim Bouzebda, Amel Nezzal & Tarek Zari. (2022) Uniform Consistency for Functional Conditional U-Statistics Using Delta-Sequences. Mathematics 11:1, pages 161.
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Salim Bouzebda & Inass Soukarieh. (2022) Non-Parametric Conditional U-Processes for Locally Stationary Functional Random Fields under Stochastic Sampling Design. Mathematics 11:1, pages 16.
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Salim Bouzebda & Amel Nezzal. (2022) Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional U-statistics involving functional data. Japanese Journal of Statistics and Data Science 5:2, pages 431-533.
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Sultana Didi & Salim Bouzebda. (2022) Wavelet Density and Regression Estimators for Continuous Time Functional Stationary and Ergodic Processes. Mathematics 10:22, pages 4356.
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Salim Bouzebda & Yousri Slaoui. (2022) Nonparametric recursive method for moment generating function kernel-type estimators. Statistics & Probability Letters 184, pages 109422.
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