On The Distribution of Partial Sums of Randomly Weighted Powers of Uniform Spacings
Emad-Eldin A. A. Aly1, *
Identifiers and Pagination:Year: 2020
First Page: 1
Last Page: 7
Publisher Id: TOSPJ-10-1
Article History:Received Date: 02/02/2019
Revision Received Date: 06/11/2019
Acceptance Date: 16/11/2019
Electronic publication date: 14/02/2020
Collection year: 2020
open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
To study the asymptotic theory of the randomly wieghted partial sum process of powers of k-spacings from the uniform distribution.
Earlier results on the distribution of the uniform incremental randomly weighted sums.
Based on theorems on weak and strong approximations of partial sum processes.
Results and conculsions:
Our main contribution is to prove the weak convergence of weighted sum of powers of uniform spacings.