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

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

Acta Universitatis Sapientiae, Mathematica

Volume 15 (2023): Issue 1 (November 2023)

By: Sergio Alvarez-Andrade, Salim Bouzebda and Nabil Nessigha

Open Access

|Nov 2023

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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Articles in this issue

DOI: https://doi.org/10.2478/ausm-2023-0002 | Journal eISSN: 2066-7752

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Language: English

Page range: 12 - 34

Submitted on: Mar 21, 2022

Published online: Nov 15, 2023

Published in print: Nov 1, 2023

Published by: Sapientia Hungarian University of Transylvania

In partnership with: Paradigm Publishing Services

Keywords:

tochastic processes,

strong approximations,

Gaussian processes,

moment convergence rates,

k-spacings process

MSC:

62E20,

60F15

Related subjects:

Mathematics,

General mathematics

© 2023 Sergio Alvarez-Andrade, Salim Bouzebda, Nabil Nessigha, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 15 (2023): Issue 1 (November 2023)