Combining Soft Computing and Statistical Methods in Data Analysis

✍ Scribed by Danilo Abbate, Roberta De Asmundis (auth.), Christian Borgelt, Gil González-Rodríguez, Wolfgang Trutschnig, María Asunción Lubiano, María Ángeles Gil, Przemysław Grzegorzewski, Olgierd Hryniewicz (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2010
• Tongue: English
• Leaves: 639
• Series: Advances in Intelligent and Soft Computing 77
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages -
Prior Knowledge in the Classification of Biomedical Data....Pages 1-8
Estimation of a Simple Genetic Algorithm Applied to a Laboratory Experiment....Pages 9-16
A Comparison of Robust Methods for Pareto Tail Modeling in the Case of Laeken Indicators....Pages 17-24
R Code for Hausdorff and Simplex Dispersion Orderings in the 2D Case....Pages 25-31
On Some Confidence Regions to Estimate a Linear Regression Model for Interval Data....Pages 33-40
Possibilistic Coding: Error Detection vs. Error Correction....Pages 41-48
Coherent Correction for Conditional Probability Assessments with R....Pages 49-56
Inferential Rules for Weak Graphoid....Pages 57-64
Fast Factorization of Probability Trees and Its Application to Recursive Trees Learning....Pages 65-72
Option Pricing in Incomplete Markets Based on Partial Information....Pages 73-80
Lorenz Curves of extrema ....Pages 81-88
Likelihood in a Possibilistic and Probabilistic Context: A Comparison....Pages 89-96
Nonparametric Predictive Inference for Order Statistics of Future Observations....Pages 97-104
Expected Pair-Wise Comparison of the Outcomes of a Fuzzy Random Variable....Pages 105-113
The Behavioral Meaning of the Median....Pages 115-122
Functional Classification and the Random Tukey Depth. Practical Issues....Pages 123-130
On Concordance Measures and Copulas with Fractal Support....Pages 131-138
Factorisation Properties of the Strong Product....Pages 139-147
Hadamard Majorants for the Convex Order and Applications....Pages 149-154
How to Avoid LEM Cycles in Mutual Rank Probability Relations....Pages 155-163
Functional Inequalities Characterizing the Frank Family of Copulas....Pages 165-172
Recent Developments in Censored, Non-Markov Multi-State Models....Pages 173-179
Maximum Likelihood from Evidential Data: An Extension of the EM Algorithm....Pages 181-188
A Decision Rule for Imprecise Probabilities Based on Pair-Wise Comparison of Expectation Bounds....Pages 189-197
Handling Bipolar Knowledge with Credal Sets....Pages 199-207
Coherent Upper Conditional Previsions and Their Integral Representation with Respect to Hausdorff Outer Measures....Pages 209-216
Statistical Inference with Belief Functions and Possibility Measures: A Discussion of Basic Assumptions....Pages 217-225
Representation of Exchangeable Sequences by Means of Copulas....Pages 227-232
Area-Level Time Models for Small Area Estimation of Poverty Indicators....Pages 233-237
Flood Analysis: On the Automation of the Geomorphological-Historical Method....Pages 239-246
Geometric Sampling: An Approach to Uncertainty in High Dimensional Spaces....Pages 247-254
Inverse Problems and Model Reduction Techniques....Pages 255-262
A Linearity Test for a Simple Regression Model with LR Fuzzy Response....Pages 263-271
Soft Methods in Robust Statistics....Pages 273-280
S -Statistics and Their Basic Properties....Pages 281-288
Particle Swarm Optimization and Inverse Problems....Pages 289-296
Linear Approximations to the Power Function of Robust Tests....Pages 297-303
Decision Support for Evolving Clustering....Pages 305-312
On Jaffray’s Decision Model for Belief Functions....Pages 313-320
Quasi Conjunction and p-Entailment in Nonmonotonic Reasoning....Pages 321-328
Elements of Robust Regression for Data with Absolute and Relative Information....Pages 329-335
On Testing Fuzzy Independence Application in Quality Control....Pages 337-344
The Fisher’s Linear Discriminant....Pages 345-352
Testing Archimedeanity....Pages 353-360
An Attempt to Define Graphical Models in Dempster-Shafer Theory of Evidence....Pages 361-368
Comparison of Time Series via Classic and Temporal Protoforms of Linguistic Summaries: An Application to Mutual Funds and Their Benchmarks....Pages 369-377
Mining Gradual Dependencies Based on Fuzzy Rank Correlation....Pages 379-386
From Probabilities to Belief Functions on MV-Algebras....Pages 387-394
Soft Methods in Trend Detection....Pages 395-402
Linguistic Decision Trees for Fusing Tidal Surge Forecasting Models....Pages 403-410
Set-Valued Square Integrable Martingales and Stochastic Integral....Pages 411-417
Smooth Transition from Mixed Models to Fixed Models....Pages 419-425
Mixture Models with a Black-Hole Component....Pages 427-435
On the Preservations of Contractions: An Application to Stochastic Orders....Pages 437-442
A New Multivariate Stochastic Order, Main Properties....Pages 443-448
ANOVA for Fuzzy Random Variables Using the R-package SAFD....Pages 449-456
Probability Tree Factorisation with Median Free Term....Pages 457-465
Comparison of Random Variables Coupled by Archimedean Copulas....Pages 467-474
Two-Way Analysis of Variance for Interval-Valued Data....Pages 475-482
Estimating the Variance of a Kernel Density Estimation....Pages 483-490
Uncertainty Invariance Transformation in Continuous Case....Pages 491-498
Detection of Outliers Using Robust Principal Component Analysis: A Simulation Study....Pages 499-507
Exploiting Sparse Dependence Structure in Model Based Classification....Pages 509-517
Independence Tests for Uncertain Data with a Frequentist Method....Pages 519-526
Why Imprecise Regression: A Discussion....Pages 527-535
Power Analysis of the Homoscedasticity Test for Random Fuzzy Sets....Pages 537-544
Periodic Generalized-Differentiable Solutions to Fuzzy Differential Equations....Pages 545-552
The Selection of the Shrinkage Region in Small Area Estimation....Pages 553-560
Set-Valued Stochastic Processes and Sets of Probability Measures Induced by Stochastic Differential Equations with Random Set Parameters....Pages 561-568
Coupled Brownian Motion....Pages 569-574
The Median of a Random Interval....Pages 575-583
The Use of Sets of Stochastic Operators to Constructing Imprecise Probabilities....Pages 585-592
Prediction of Future Order Statistics from the Uniform Distribution....Pages 593-602
Balance Sheet Approach to Agent-Based Computational Economics: The EURACE Project....Pages 603-610
Connections between Statistical Depth Functions and Fuzzy Sets....Pages 611-618
An Alternative Approach to Evidential Network Construction....Pages 619-626
Large Deviations of Random Sets and Random Upper Semicontinuous Functions....Pages 627-634
A Note of Proposed Privacy Measures in Randomized Response Models....Pages 635-642
Back Matter....Pages -

✦ Subjects

Computational Intelligence