Exponential mixtures and quadratic exponential families

Conditions are derived under which quadratic and polynomial exponential models can be generated as mixtures of linear exponential models. The conditions are highly restrictive for continuous sample spaces, but less restrictive in the discrete case. Some properties of binary quadratic exponential models are explored with a view towards finding models that have properties suitable for epidemiological applications.

Exponential mixtures and quadratic exponential families | Litlas