Proving the Inverse Gaussian Distribution Belongs to the Exponential Family

In this video, we prove that the Inverse Gaussian distribution belongs to the Exponential Family of Distributions through a complete step-by-step derivation. After obtaining the exponential family form, we also derive: Mean E(Y) Variance Var(Y) Canonical link function This proof is useful for students studying: Generalized Linear Models (GLMs) Statistical Learning Machine Learning Mathematical Statistics Data Science