Generalised Linear Models2026-08-31explainerglmexponential‑familylink‑functionsirlsfisher‑scoringdeviancepoissonlog‑linearquasi‑likelihoodregressionstatisticsexponential-family GLM theory from MATH5806: the canonical form, link functions, fisher scoring as iteratively reweighted least squares, deviance, poisson and log-linear regression, and quasi-likelihood.