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S. Didi

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Open access Aug 2026

Inverse-Probability-Weighted Wavelet Estimation of Regression Derivatives Under Missing-at-Random Responses for Stationary Ergodic Processes

We consider the estimation of partial derivatives of multivariate regression-type functionals from incomplete observations generated by a discrete-time strictly stationary ergodic process. The response variable is subject to a missing-at-random (MAR) mechanism, whereas the covariates are fully observed. Building upon t...

Salim Bouzebda, S. Didi · 0 citations
Open access Aug 2026

Inverse-Probability-Weighted Kernel Estimation of Regression Derivatives Under Missing-at-Random Responses for Stationary Ergodic Processes

This paper develops asymptotic theory for kernel estimation of density-weighted conditional functionals and regression derivatives when responses are missing at random (MAR) and the observations form a strictly stationary ergodic process. Sequential MAR and positivity identify the complete-data conditional target throu...

Salim Bouzebda, S. Didi · 0 citations
Open access Aug 2026

Asymptotic Normality of Wavelet Density and Regression Estimators Under Censored Ergodic Observations

This paper develops a pointwise distributional theory for linear wavelet density and regression estimation from randomly right-censored observations exhibiting stationary ergodic dependence. In contrast to the prevailing literature, which typically relies on quantitative mixing conditions, our analysis is conducted und...

Salim Bouzebda, S. Didi · 0 citations
Open access Aug 2026

Asymptotic Theory for Kernel Density Estimation Under Dependent Length-Biased Sampling

We establish an asymptotic theory for the Jones inverse-weighted kernel density estimator when length-biased observations form a strictly stationary short-range dependent sequence. The statistical difficulty is intrinsically composite: reciprocal weighting is singular at the origin, the normalizing mean is estimated fr...

Salim Bouzebda, S. Didi · 0 citations

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