Topic: Exponential-Family Structure

Log-Partition Hessians Are Covariance Matrices

Log-Partition Gradients Give Mean Parameters

Independent Product Families and Concatenated Statistics

Higher Log-Partition Derivatives Give Cumulants

Gamma and Beta Families in Canonical Coordinates

Diagnosing False Canonical Representations

Curved Exponential Families as Constrained Surfaces

Convexity and Geometry of the Log-Partition Function

Conditioning and Truncation Within Exponential Families

Carrier Measures and Equivalent Representations