# Large deviations and Wschebor's theorems

## TL;DR

This paper revisits Wschebor's theorems on small process increments with scaling and stationarity, deriving large deviation principles to deepen understanding of process behaviors.

## Contribution

It introduces large deviation principles based on Wschebor's theorems, extending their application to processes with specific scaling and stationarity properties.

## Key findings

- Established large deviation principles for processes with scaling.
- Extended Wschebor's theorems to include large deviations.
- Provided new insights into process increment behaviors.

## Abstract

We revisit Wschebor's theorems on small increments for processes with scaling and stationary properties and deduce large deviation principles.