# Is marginal constraints equivalent to linear constraints?

1. Dec 11, 2009

### Edwinkumar

If I have a set of Probability distributions on a product space with marginal constraints, is there any way to (how to) express the same as a linear family of PD's ( i.e. all $$P$$ s.t. $$E_P[ f_i] =a_i$$ for some $$f_i, a_i$$ )

2. Dec 12, 2009