Research Interests

• 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: 3/11/05

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