Coverart for item
The Resource The mathematics of the uncertain : a tribute to Pedro Gil, Eduardo Gil, Eva Gil, Juan Gil, María Ángeles Gil, editors

The mathematics of the uncertain : a tribute to Pedro Gil, Eduardo Gil, Eva Gil, Juan Gil, María Ángeles Gil, editors

Label
The mathematics of the uncertain : a tribute to Pedro Gil
Title
The mathematics of the uncertain
Title remainder
a tribute to Pedro Gil
Statement of responsibility
Eduardo Gil, Eva Gil, Juan Gil, María Ángeles Gil, editors
Contributor
Editor
Honouree
Subject
Language
eng
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
Member of
Cataloging source
GW5XE
Dewey number
519.5
Illustrations
illustrations
Index
no index present
LC call number
QA276
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorDate
1968-
http://library.link/vocab/relatedWorkOrContributorName
  • Gil, Eduardo
  • Gil, Eva
  • Gil, Juan
  • Gil, María Á.
  • Gil, Pedro
Series statement
Studies in systems, decision and control,
Series volume
volume 142
http://library.link/vocab/subjectName
  • Mathematical statistics
  • Uncertainty
  • Engineering
  • Computational Intelligence
  • Artificial Intelligence (incl. Robotics)
  • Systems Theory, Control
  • Operations Research/Decision Theory
Label
The mathematics of the uncertain : a tribute to Pedro Gil, Eduardo Gil, Eva Gil, Juan Gil, María Ángeles Gil, editors
Instantiates
Publication
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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 0 -- 1 Optimization with Time-Consistent Stochastic Dominance Risk Averse Management
Control code
SPR1027480649
Dimensions
unknown
Extent
1 online resource (xxv, 917 pages)
File format
unknown
Form of item
online
Isbn
9783319738482
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-73848-2
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1027480649
  • (OCoLC)1027480649
Label
The mathematics of the uncertain : a tribute to Pedro Gil, Eduardo Gil, Eva Gil, Juan Gil, María Ángeles Gil, editors
Publication
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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 0 -- 1 Optimization with Time-Consistent Stochastic Dominance Risk Averse Management
Control code
SPR1027480649
Dimensions
unknown
Extent
1 online resource (xxv, 917 pages)
File format
unknown
Form of item
online
Isbn
9783319738482
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-73848-2
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1027480649
  • (OCoLC)1027480649

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