Salim Bouzebda

Prof. Dr. Salim Bouzebda

University of Technology of Compiègne, Compiègne, Hauts-de-France, France
orcid
Head of laboratory

Research Focus & Metrics

Academic Career Length

19Years (2008-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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1 July 2012 in Mathematical Methods of Statistics
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Salim BouzebdaSalim Bouzebda
Salim Bouzebda

2 April 2020 in Journal of Nonparametric Statistics
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Salim BouzebdaSalim Bouzebda
Salim Bouzebda
BNBoutheina Nemouchi
Boutheina Nemouchi
W. Stute [(1991), Annals of Probability, 19, 812–825] introduced a class of so-called conditional U-statistics, which may be viewed as a generalisation of the Nadaraya–Watson estimates of a regression function. Stute proved their strong pointwise consistency to m(t):=E[ϕ(Y1,…,Ym)|(X1,…,Xm)=t],for t∈Rdm. We apply the methods developed in Dony and Mason [(2008), Bernoulli, 14(4), 1108–1133] to establish uniformity in t and in bandwidth consistency (i.e. hn, hn∈[an,bn] where 0<an<bn→0 at some specific rate) to m(t) of the estimator proposed by Stute when Y and covariates X are functional taking value in some abstract spaces. In addition, uniform consistency is also established over ϕ∈F for a suitably restricted class F. The theoretical uniform consistency results, established in this paper, are (or will be) key tools for many further developments in functional data analysis. Applications include the Nadaraya–Watson kernel estimators and the conditional distribution function. Our theorems allow data-driven local bandwidths for these statistics.

1 January 2021 in Journal of Multivariate Analysis
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MMMustapha Mohammedi
Mustapha Mohammedi
Salim BouzebdaSalim Bouzebda
Salim Bouzebda
ALAli Laksaci
Ali Laksaci

25 July 2022 in Statistical Inference for Stochastic Processes
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Salim BouzebdaSalim Bouzebda
Salim Bouzebda
BNBoutheina Nemouchi
Boutheina Nemouchi

2 January 2022 in Journal of Nonparametric Statistics
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Journal Article
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IAIbrahim M. Almanjahie
Ibrahim M. Almanjahie
Salim BouzebdaSalim Bouzebda
Salim Bouzebda
ZKZoulikha Kaid
Zoulikha Kaid
ALAli Laksaci
Ali Laksaci
In this paper, the problem of the nonparametric estimation of the expectile regression model for strong mixing functional time series data is investigated. To be more precise, we establish the almost complete consistency and the asymptotic normality of the kernel-type expectile regression estimator under some mild conditions. The usefulness of our theoretical results in the financial time series analysis is discussed. Further, we provide some practical algorithms to select the smoothing parameter or to construct the confidence intervals using the bootstrap techniques. In addition, a simulation study is carried out to verify the small sample behaviour of the proposed approach. Finally, we give an empirical example using the daily returns of the stock index SP500.