We show that, largely speaking, exponential families are extreme point models in the sense of Lauritzen (1974, 1982, 1984), except that in some cases degenerate measures shall be added. The results ...

Scandinavian Journal of Statistics, Vol. 13, No. 3 (1986), pp. 187-197 (11 pages) Some basic properties of the class of exponential dispersion models, introduced by Jørgensen (1984), are derived, ...