Combining Soft Computing and Statistical Methods in Data Analysis

1. Front Matter

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2. Prior Knowledge in the Classification of Biomedical Data

   • Danilo Abbate, Roberta De Asmundis, Mario Rosario Guarracino

   Pages 1-8

3. Estimation of a Simple Genetic Algorithm Applied to a Laboratory Experiment

   • Simone Alfarano, Eva Camacho, Josep Domenech

   Pages 9-16

4. A Comparison of Robust Methods for Pareto Tail Modeling in the Case of Laeken Indicators

   • Andreas Alfons, Matthias Templ, Peter Filzmoser, Josef Holzer

   Pages 17-24

5. R Code for Hausdorff and Simplex Dispersion Orderings in the 2D Case

   • Guillermo Ayala

   Pages 25-31

6. On Some Confidence Regions to Estimate a Linear Regression Model for Interval Data

   • Angela Blanco-Fernández, Norberto Corral, Gil González-Rodríguez, Antonio Palacio

   Pages 33-40

7. Possibilistic Coding: Error Detection vs. Error Correction

   • Luca Bortolussi, Andrea Sgarro

   Pages 41-48

8. Coherent Correction for Conditional Probability Assessments with R

   • A. Brozzi, A. Morelli, F. Vattari

   Pages 49-56

9. Inferential Rules for Weak Graphoid

   • Giuseppe Busanello, Barbara Vantaggi

   Pages 57-64

10. Fast Factorization of Probability Trees and Its Application to Recursive Trees Learning

    • Andrés Cano, Manuel Gómez-Olmedo, Cora B. Pérez-Ariza, Antonio Salmerón

    Pages 65-72

11. Option Pricing in Incomplete Markets Based on Partial Information

    • Andrea Capotorti, Giuliana Regoli, Francesca Vattari

    Pages 73-80

12. Lorenz Curves of extrema

    • Ignacio Cascos, Miguel Mendes

    Pages 81-88

13. Likelihood in a Possibilistic and Probabilistic Context: A Comparison

    • Giulianella Coletti, Davide Petturiti, Barbara Vantaggi

    Pages 89-96

14. Nonparametric Predictive Inference for Order Statistics of Future Observations

    • Frank P. A. Coolen, Tahani A. Maturi

    Pages 97-104

15. Expected Pair-Wise Comparison of the Outcomes of a Fuzzy Random Variable

    • Inés Couso, Laura Garrido, Susana Montes, Luciano Sánchez

    Pages 105-113

16. The Behavioral Meaning of the Median

    • Inés Couso, Luciano Sánchez

    Pages 115-122

17. Functional Classification and the Random Tukey Depth. Practical Issues

    • Juan A. Cuesta-Albertos, Alicia Nieto-Reyes

    Pages 123-130

18. On Concordance Measures and Copulas with Fractal Support

    • E. de Amo, M. Díaz Carrillo, J. Fernández-Sánchez

    Pages 131-138

19. Factorisation Properties of the Strong Product

    • Gert de Cooman, Enrique Miranda, Marco Zaffalon

    Pages 139-147

20. Hadamard Majorants for the Convex Order and Applications

    • Jesús de la Cal, Javier Cárcamo, Luis Escauriaza

    Pages 149-154

Over the last forty years there has been a growing interest to extend probability theory and statistics and to allow for more flexible modelling of imprecision, uncertainty, vagueness and ignorance. The fact that in many real-life situations data uncertainty is not only present in the form of randomness (stochastic uncertainty) but also in the form of imprecision/fuzziness is but one point underlining the need for a widening of statistical tools. Most such extensions originate in a "softening" of classical methods, allowing, in particular, to work with imprecise or vague data, considering imprecise or generalized probabilities and fuzzy events, etc. About ten years ago the idea of establishing a recurrent forum for discussing new trends in the before-mentioned context was born and resulted in the first International Conference on Soft Methods in Probability and Statistics (SMPS) that was held in Warsaw in 2002. In the following years the conference took place in Oviedo (2004), in Bristol (2006) and in Toulouse (2008). In the current edition the conference returns to Oviedo. This edited volume is a collection of papers presented at the SMPS 2010 conference held in Mieres and Oviedo. It gives a comprehensive overview of current research into the fusion of soft methods with probability and statistics.

• Fuzzy
• Probability
• Soft Computing
• Soft Methods
• model
• modeling
• statistics

• Research Unit on Intelligent Data Analysis and Graphical Models, European Centre for Soft Computing Edificio Científico-Tecnológico. 3a Planta, Mieres, Spain

  Christian Borgelt, Gil González-Rodríguez, Wolfgang Trutschnig

• Departamento de Estadística e I.O. y D.M., Universidad de Oviedo, Facultad de Ciencias, Oviedo, Spain

  María Asunción Lubiano

• Departamento de Estadística e I.O. yD.M., Universidad de Oviedo, Facultad de Ciencias, Oviedo, Spain

  María Ángeles Gil

• Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

  Przemysław Grzegorzewski

• Systems Research Institute, Polish Academy of Science, Warsaw, Poland

  Olgierd Hryniewicz

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