Peter McCullagh

John D. MacArthur Distinguished Service Professor
Department of Statistics and the College

Peter McCullagh
Office:
Jones 217
Phone:
773-702-8340
FaxL
773-702-9810
Email:
pmcc@galton.uchicago.edu
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 update: 9/17