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math.PR2026
Weighted Gaussian Approximations for Increments of the Uniform Empirical and Quantile Processes: Fixed-Endpoint Extensions to the Finite-Count Scale
Abdelhakim Necir
We establish weighted Gaussian approximations for the uniform empirical and quantile processes and for their increments ending at a fixed point t in (0,1). We first place the class…
math.ST2026
Weighted and Truncated Tail Index Estimation under Random Censoring: A Unified Full-Range Framework
Abdelhakim Necir, Nour Elhouda Guesmia, Djamel Meraghni
Estimation of the extreme value index under right censoring is a fundamental problem in extreme value theory, with important applications in finance, insurance, and reliability. Cl…