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

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.

Keywords

• tochastic processes
• strong approximations
• gaussian processes
• moment convergence rates
• k-spacings process
• 62e20
• 60f15