Fisher Information and Exponential Families Parametrized by a Segment of Means

Piotr Graczyk, Salha Mamane

We consider natural and general exponential families $(Q_m{)}_{m\in M}$ on ${\mathbb{R}}^d$ parametrized by the means. We study the submodels $(Q_{\theta m_1+(1-\theta )m_2}{)}_{\theta \in [0,1]}$ parametr…