On the strong approximation of the non-overlapping k-spacings process with application to the moment convergence rates

Sergio Alvarez-Andrade; Salim Bouzebda; Nabil Nessigha

doi:10.2478/ausm-2023-0002

Abstract

In the present work, we establish the strong approximations of the empirical k-spacings process {α_n(x): 0 ≤ x< ∞} (cf. (3)). We state the moment convergence rates results for this process.

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On the strong approximation of the non-overlapping k-spacings process with application to the moment convergence rates

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