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Intro; Foreword; Preface; Contents; Part I Pedro Gil's Vision on the Mathematics of the Uncertain; The Mathematics of the Uncertain; 1 The Mathematics of Chance: Probability Calculus and Statistics; 1.1 The Use of Statistics...; 1.2 ...and the Abuse of Statistics; 1.3 Polls and More; 2 The Mathematics of Communication: Information Theory; 2.1 Coding and Cryptology; 2.2 Chicken and Egg: Information or Probability?; 3 The Mathematics of Imprecision: Fuzzy Sets; 3.1 Fuzzy Technology and...; 4 Epilogue; Part II The Mathematics of Chance: Probability, Statistics and Applications
Using Mathematica to Calculate Shortest Confidence Intervals1 Preliminaries; 2 Confidence Interval for the Variance and Standard Deviation of a Normal; 3 Confidence Interval for Ratios of Variances and Standard Deviations of Independent Normal Distributions; 4 Bayesian Confidence Intervals; References; An Optimal Transportation Approach for Assessing Almost Stochastic Order; 1 Introduction; 2 Main Results; 3 Appendix; References; An Alternative to the Variation Coefficient; 1 Introduction; 2 Definition of a New Coefficient
3 The Trimmed Representation Coefficient for a Normally Distributed Random Variable4 Interpretation of the Trimmed Representation Coefficient; 5 Trimmed Representation Coefficient for Other Theoretical Distributions; References; Nonparametric Mean Estimation for Big-But-Biased Data; 1 Introduction; 2 The Samples and Their Sizes; 3 Mean Estimation in B3D; 4 Case Study with Simulated Data; References; Band Depths Based on Multiple Time Instances; 1 Introduction; 2 Regions Formed by Samples in Functional Spaces; 3 Simplicial-Type Band Depths; 4 Data Examples; References
On the Combination of Depth-Based Ranks1 Introduction; 2 Depths, Depth-Based Ranks, and Control Charts; 3 The Proposal; 4 Comparison Results; 5 Application; References; A Bayesian Network Model for the Probabilistic Safety Assessment of Roads; 1 Introduction; 2 Building the Bayesian Network; 3 Learning the Bayesian Network Model; 4 Network Partition; 5 Example of Application; 6 Conclusions; References; The Spiking Problem in the Context of the Isotonic Regression; 1 Introduction; 2 The New Procedures; 3 Simulations; 4 Discussion and Acknowledgement; References
Estimation of the Inter-occurrence Time Between Events from Incomplete Data. Analysis of Periods of Unemployment in Spain1 Introduction. Objectives and Methodology; 2 Redistribution of the Observations. Correction of the Heaping Effect; 3 Conditional Mean Estimation for Each Sex over the Different Age Ranges; 4 Non-parametric Estimation of Conditional Distributions and Quantile Comparison; References; Modelling Dynamic Hotel Pricing with Isotonic Functions; 1 Introduction; 2 Data Sources and Methodology; 3 Research Findings and Conclusion; References
On Multistage Stochastic Mixed
1 Optimization with Time-Consistent Stochastic Dominance Risk Averse Management
Using Mathematica to Calculate Shortest Confidence Intervals1 Preliminaries; 2 Confidence Interval for the Variance and Standard Deviation of a Normal; 3 Confidence Interval for Ratios of Variances and Standard Deviations of Independent Normal Distributions; 4 Bayesian Confidence Intervals; References; An Optimal Transportation Approach for Assessing Almost Stochastic Order; 1 Introduction; 2 Main Results; 3 Appendix; References; An Alternative to the Variation Coefficient; 1 Introduction; 2 Definition of a New Coefficient
3 The Trimmed Representation Coefficient for a Normally Distributed Random Variable4 Interpretation of the Trimmed Representation Coefficient; 5 Trimmed Representation Coefficient for Other Theoretical Distributions; References; Nonparametric Mean Estimation for Big-But-Biased Data; 1 Introduction; 2 The Samples and Their Sizes; 3 Mean Estimation in B3D; 4 Case Study with Simulated Data; References; Band Depths Based on Multiple Time Instances; 1 Introduction; 2 Regions Formed by Samples in Functional Spaces; 3 Simplicial-Type Band Depths; 4 Data Examples; References
On the Combination of Depth-Based Ranks1 Introduction; 2 Depths, Depth-Based Ranks, and Control Charts; 3 The Proposal; 4 Comparison Results; 5 Application; References; A Bayesian Network Model for the Probabilistic Safety Assessment of Roads; 1 Introduction; 2 Building the Bayesian Network; 3 Learning the Bayesian Network Model; 4 Network Partition; 5 Example of Application; 6 Conclusions; References; The Spiking Problem in the Context of the Isotonic Regression; 1 Introduction; 2 The New Procedures; 3 Simulations; 4 Discussion and Acknowledgement; References
Estimation of the Inter-occurrence Time Between Events from Incomplete Data. Analysis of Periods of Unemployment in Spain1 Introduction. Objectives and Methodology; 2 Redistribution of the Observations. Correction of the Heaping Effect; 3 Conditional Mean Estimation for Each Sex over the Different Age Ranges; 4 Non-parametric Estimation of Conditional Distributions and Quantile Comparison; References; Modelling Dynamic Hotel Pricing with Isotonic Functions; 1 Introduction; 2 Data Sources and Methodology; 3 Research Findings and Conclusion; References
On Multistage Stochastic Mixed
1 Optimization with Time-Consistent Stochastic Dominance Risk Averse Management