# Increasing process

An **increasing process** is a stochastic process...

...where the random variables which make up the process are increasing almost surely and adapted:

A **continuous increasing process** is such a process where the set is continuous.

Consider a stochastic process satisfying a.s. for all My question is: Does there exist a modification of , which almost surely has increasing sample paths ?^{[1]}

## References[edit]

**^**"Increasing stochastic process".*MathOverflow*. Retrieved 2023-05-06.