# adapted process

## Primary tabs

Synonym:
adapted
Type of Math Object:
Definition
Major Section:
Reference

## Mathematics Subject Classification

60A99 no label found60G07 no label found

## Comments

### Adapted

Hello!
'A stochastic process is an adapted process if it is adapted to some filtration' what some filtration. Can I say that astochastic process is an adapted process if (X_t)_{t\geq 0}$est (\mathcal{F}_t)_{t\geq 0}-adapted to a filtration$(\mathcal{F}_t)_{t\geq 0}$Obviously$(X_t)_{t\geq 0}\$ is adapted to the filtration \sigma(X_t, t\geq 0).