<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In the present work, we establish the strong approximations of the empirical k-spacings process {α<sub>n</sub>(x): 0 ≤ x&lt; ∞} (cf. (3)). We state the moment convergence rates results for this process.</p>
</abstract>

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.

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

Laboratoire de Mathématiques Appliquées

Acta Universitatis Sapientiae, Mathematica

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...

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

Published Online: Nov 15, 2023

Page range: 12 - 34

Received: Mar 21, 2022

DOI: https://doi.org/10.2478/ausm-2023-0002

Keywords
tochastic processes, strong approximations, Gaussian processes, moment convergence rates, k-spacings process

© 2023 Sergio Alvarez-Andrade et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Nov 15, 2023

Page range: 12 - 34

Received: Mar 21, 2022

DOI: https://doi.org/10.2478/ausm-2023-0002

Keywordstochastic processes, strong approximations, Gaussian processes, moment convergence rates, k-spacings process

© 2023 Sergio Alvarez-Andrade et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
tochastic processes, strong approximations, Gaussian processes, moment convergence rates, k-spacings process