Research

Statistics Image

Statistical research at ORFE is focused on the design of new statistical methods and their mathematical analysis. Specific areas of research include high-dimensional statistics, nonparametric statistics, nonlinear time series, sequential learning, combinatorial statistics, longitudinal and functional data analysis, and robust statistics. Areas of application span a variety of scientific domains including risk management, econometrics, machine learning, computational biology and biostatistics.

Faculty Research Interests

  • multi-armed bandits, online optimization, stochastic optimization, statistical learning theory, high-dimensional statistics
  • stochastic analysis (SPDEs, BSDEs, FBSDEs, stochastic control and stochastic differential games), financial mathematics (models for the equity, fixed income and credit markets, commodity, energy and emission markets), environmental finance
  • financial econometrics, risk management, bioinformatics, data-analytic modeling, nonlinear time series, analysis of longitudinal data, model selection, nonparametric inference, wavelets, survival analysis, generalized linear models, mathematical statistics, computational biology, statistics theory and methods
  • approximate dynamic programming and optimal learning, with applications in energy, homeland security, health and complex resource allocation problems
  • nonparametric statistics, statistical learning theory, high dimensional statistics, bandit problems, aggregation, stochastic optimization, dimension reduction
  • probability theory, stochastic analysis, Markov processes, ergodic theory, mathematical statistics, information theory, nonlinear filtering, mathematical physics, applied mathematics