On the strong approximation of the non-overlapping k-spacings process with application to the moment convergence rates
, e | 15 nov 2023
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Pubblicato online: 15 nov 2023
Pagine: 12 - 34
Ricevuto: 21 mar 2022
DOI: https://doi.org/10.2478/ausm-2023-0002
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© 2023 Sergio Alvarez-Andrade et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
In the present work, we establish the strong approximations of the empirical k-spacings process {αn(x): 0 ≤ x< ∞} (cf. (3)). We state the moment convergence rates results for this process.