Applications

Biostatistics; Computational biology; Applications in engineering and industry; Statistical quality control; Applications to environmental statistics; Applications to dictionary learning

Decision theory

Complete class results; Bayesian problems; Empirical Bayes procedures; Admissibility; Mini-max procedures; Minimum risk estimation; Selection procedures

Linear inference, regression

General nonlinear regression; Linear regression; Ridge regression; Generalized linear models, Partially linear models, Diagnostics; Robust regression and outlier detection; Functional regression models; Latent Gaussian models

Mathematical finance

Numerical methods (including Monte Carlo methods); Statistical methods; Econometrics

Parametric inference

Point estimation; Bayesian inference; Inference under constraints; Robust Bayes;

Statistical data analysis

Statistical methods for incomplete data, Sensitivity analysis; Imputation methods; Longitudinal data analysis; Functional data analysis

Stochastic processes

Foundations of stochastic processes; Stationary processes; Continuous time and discrete time processes; Markov models; Hidden Markov models; Time series; Extreme value theory

Survival analysis and censored data

Censored data models and estimation; Reliability analysis, Accelerated life testing, Competing risk models, Degradation models