Empirical Processes and Schatte Model

TL;DR

This paper establishes a strong approximation result for the empirical process based on the Schatte model, achieving a rate of 1/16, which advances understanding of empirical process behavior under this model.

Contribution

It provides the first strong approximation rate for the empirical process associated with the Schatte model, filling a gap in the theoretical understanding.

Findings

Strong approximation rate of 1/16 for the empirical process.

First such approximation result for the Schatte model.

Enhances theoretical insights into empirical processes.

Abstract

We proved the strong approximation result for the empirical process derived from its corresponding Schatte model. The corresponding strong approximation rate obtained is 1/16.