John D. MacArthur Distinguished Service Professor Emeritus
Department of Statistics and the College
- Office:
- Jones 217
- Phone:
- 773-702-8340
- Fax:
- 773-702-9810
- Email:
- petermccullagh52@gmail.com
- Website:
- https://www.stat.uchicago.edu/~pmcc/
Research
- Linear and generalized linear models, exponential families.
- Asymptotic approximation to the distribution of estimators.
- Variance components and structured covariance models.
- Spatial models in agricultural applications, particularly models that are closed under conformal transformation.
- Category theory and projective systems: stochastic processes, regression processes, causality.
- Representation-theory for normal categories: Linear models, factorial models, homologous factors.
- Random objects: sequences, subsets, partitions, trees, arrays, matrices,...
- Notions of exchangeability and partial exchangeability; relation to categories.
- Foundations of statistical models: Functorial definition.
- Monte-Carlo integration as an application of a statistical model.
Last upate: March 2024