Investigación

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
  • 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
  • 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
  • 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