# Increasing process

Increasing process

An increasing process is a stochastic process

:$\left(X_t\right)_\left\{t in M\right\}$

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

:$0=X_0 leq X_1 leq cdots .$

A continuous increasing process is such a process where the set $M$ is continuous.

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