Gamma-Poisson & Dirichlet-Multinomial Models – Practice Quiz

Gamma-Poisson and Dirichlet-Multinomial conjugate models: update event rates using counts and exposure and update categorical probability vectors using category counts. Practice explicit shape-rate notation, posterior means, effective information, aggregation, smoothing and the limits of pooled or misspecified likelihoods. Includes original single-select and multiselect scenarios, worked reasoning and explanations of each distractor. Prerequisites: Normal conjugacy, Poisson counts, categorical sampling and exposure units. Authored from the saved Statistics & Probability syllabus; intended for progressive independent practice.

Further reading: Bayesian Data Analysis, 3rd edition.