Research Group
STATISTICAL METHODS WITH IMPRECISE RANDOM ELEMENTS  ϟ  COMPARISON OF DISTRIBUTIONS OF RANDOM ELEMENTS
Research Group > Research interests

RESEARCH INTERESTS

  • Imprecisely-valued random elements (IREs): random sets and fuzzy random variables
  • Robust location and scale estimation of the distribution of IREs
  • Estimation and testing of real/fuzzy-valued parameters associated with the distribution of IREs
  • Linear Models with IREs: regression/correlation analyses, ANOVA, etc.
  • Simulation of IREs: procedures, outliers, etc.
  • Fuzzy representation of the distribution of a random variable; Applications to the statistical analysis of distributions of random variables
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  • The fuzzy rating scales (FRSs) and their application to questionnaires
  • Sensitivity analysis of the influence of the mesurement scales, shapes, etc.
  • Designing FRS-based questionnaires
  • Analyzing data from FRS-based questionnaires
  • Software developments
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  • Stochastic ordering of random elements
  • Stochastic orders and foundations
  • Stochastic orders to approach investments in financial derivatives
  • Stochastic orders to compare investments with different cash flows
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  • Data Analysis and Classification
  • Generalized Receiver-Operating Characteristic (ROC) curves (non-monotone relationships, multivariate settings, etc.)
  • Classification Trees and ROC curves criteria
  • Area under the ROC curve comparison
  • Software developments
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    Last modified (March 2007)