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Title The mathematics of the uncertain : a tribute to Pedro Gil / Eduardo Gil, Eva Gil, Juan Gil, María Ángeles Gil, editors
Published Cham : Springer, 2018

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Description 1 online resource (xxv, 917 pages) : illustrations
Series Studies in systems, decision and control, 2198-4182 ; volume 142
Studies in systems, decision and control ; v. 142. 2198-4182
Contents 880-01 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
880-01/(S The Mathematics of the uncertain -- Using Mathematica to calculate shortest confidence intervals -- An optimal transportation approach for assessing almost stochastic order -- An alternative to the variation coefficient -- Nonparametric mean estimation for big-but-biased data -- Band depths based on multiple time instances -- On the combination of depth-based ranks -- A Bayesian network model for the probabilistic safety assessment of roads -- The spiking problem in the context of the isotonic regression -- Estimation of the inter-occurrence time between events from incomplete data -- Modelling dynamic hotel pricing with isotonic functions -- On multistage stochastic mixed 0-1 optimization with time-consistent stochastic dominance risk averse management -- Bivariate copula additive models for location, scale and shape with applications in Biomedicine -- Domain mean estimators assisted by nested error regression models -- Robust approaches for fuzzy clusterwise regression based on trimming and constraints -- Robust morphometric analysis based on landmarks -- Smoothing-based tests with directional random variables -- Asymptotic behavior of fractional blending systems -- Multiple hypothesis tests: A Bayesian approach -- δ -Records observations in models with random trend -- Recent developments and advances in joint modelling of longitudinal and survival data -- Long-term survival after abdominal aortic aneurysm repair -- Some comments on stochastic orders and posets -- Optimal experimental design for model selection: A partial review -- A statistical analysis of the treatment of type 2 diabetes in the presence of chronic kidney disease in patients hospitalized for heart failure -- A diagnostic test approach for multitesting problems -- The length-time bias in tourism surveys -- Detecting change-points in the time series of surfaces occupied by pre-defined NDVI categories in continental Spain from 1981 to 2015 -- Choice functions and rejection sets -- Mathematical modeling in biological populations with reproduction in a non-predictable environment -- Field substitution and sequential sampling method -- Working with (too) few samples -- Estimation of the Owen value based on sampling -- The β -gradient for testing probability profiles -- Mixtures of Gaussians as a proxy in hybrid Bayesian networks -- Sublinear expectations: On large sample behaviours, Monte Carlo method, and coherent upper previsions -- A non-iterative estimator for interval sampling and doubly truncated data
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 0 -- 1 Optimization with Time-Consistent Stochastic Dominance Risk Averse Management
Summary This book is a tribute to Professor Pedro Gil, who created the Department of Statistics, OR and TM at the University of Oviedo, and a former President of the Spanish Society of Statistics and OR (SEIO). In more than eighty original contributions, it illustrates the extent to which Mathematics can help manage uncertainty, a factor that is inherent to real life. Today it goes without saying that, in order to model experiments and systems and to analyze related outcomes and data, it is necessary to consider formal ideas and develop scientific approaches and techniques for dealing with uncertainty. Mathematics is crucial in this endeavor, as this book demonstrates. As Professor Pedro Gil highlighted twenty years ago, there are several well-known mathematical branches for this purpose, including Mathematics of chance (Probability and Statistics), Mathematics of communication (Information Theory), and Mathematics of imprecision (Fuzzy Sets Theory and others). These branches often intertwine, since different sources of uncertainty can coexist, and they are not exhaustive. While most of the papers presented here address the three aforementioned fields, some hail from other Mathematical disciplines such as Operations Research; others, in turn, put the spotlight on real-world studies and applications. The intended audience of this book is mainly statisticians, mathematicians and computer scientists, but practitioners in these areas will certainly also find the book a very interesting read
Notes Online resource; title from PDF title page (SpringerLink, viewed March 6, 2018)
Subject Mathematical statistics.
Uncertainty -- Mathematical models.
Search theory.
Decision Theory
Artificial intelligence.
Cybernetics & systems theory.
Operational research.
MATHEMATICS -- Applied.
MATHEMATICS -- Probability & Statistics -- General.
Search theory
Mathematical statistics
Uncertainty -- Mathematical models
Genre/Form Festschriften
Festschriften.
Form Electronic book
Author Gil, Eduardo, editor
Gil, Eva, editor
Gil, Juan, 1968- editor.
Gil, María Á. (Maria-Ángeles), editor.
Gil, Pedro, honouree
ISBN 9783319738482
3319738488