Increasing process

An increasing process is a stochastic process

<math>(X_t)_{t \in M}</math>

where the random variables <math>X_t</math> which make up the process are increasing almost surely and adapted:

<math>0=X_0 \leq X_1 \leq \cdots . </math>

A continuous increasing process is such a process where the set <math>M</math> is continuous.

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