Topic: Exponential-Family Structure

The Log-Partition Function Normalizes the Family

Reproductive Closure Under Independent Sampling

Poisson and Multinomial Canonical Representations

Parameter-Dependent Support and Nonregular Families

One-Parameter Mean Maps and Variance

Normal Families With Unknown Mean and Variance

Natural Parameter Spaces from Integrability

Natural and Mean Parameterizations

Mixtures of Exponential Families Need Not Be Exponential

Minimality and Identifiability of Canonical Statistics