Abstract
Objectives:
To study the asymptotic theory of the randomly wieghted partial sum process of powers of k-spacings from the uniform distribution.
Methods:
Earlier results on the distribution of the uniform incremental randomly weighted sums.
Methods:
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.
Publisher
Bentham Science Publishers Ltd.