Scientific Interests, Keywords

  • Probability Theory and Mathematical Statistics:
    • Empirical processes
    • Non-parametric methods
    • Martingale methods in statistics
    • Goodness of fit methods
    • Asymptotic methods
    • Differential-geometric problems in statistics
  • Applications:
    • Demography and Insurance mathematics
    • Biology (human genetics, physiology)
    • Econometrics
    • Linguistics
    • Reliability theory
    • Large number of rare events

function-parametric and set parametric processes; random measures and measure-valuded processes; scanning martingales; goodness of fit problem and two-sample problem in R^m, m>=1; extreme value theory and records; sequential and "ordinary" ranks; non-crossing probabilities; change-set problem; curvature measures; Zipf's law; analysis of rare words.
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