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
