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
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The item The mathematics of the uncertain : a tribute to Pedro Gil, Eduardo Gil, Eva Gil, Juan Gil, María Ángeles Gil, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item The mathematics of the uncertain : a tribute to Pedro Gil, Eduardo Gil, Eva Gil, Juan Gil, María Ángeles Gil, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 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 wellknown 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 realworld 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
 Language
 eng
 Extent
 1 online resource (xxv, 917 pages)
 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 BigButBiased 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 SimplicialType Band Depths; 4 Data Examples; References
 On the Combination of DepthBased Ranks1 Introduction; 2 Depths, DepthBased 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 Interoccurrence 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 Nonparametric 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 TimeConsistent Stochastic Dominance Risk Averse Management
 Isbn
 9783319738482
 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
 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 wellknown 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 realworld 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
 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
 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 BigButBiased 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 SimplicialType Band Depths; 4 Data Examples; References
 On the Combination of DepthBased Ranks1 Introduction; 2 Depths, DepthBased 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 Interoccurrence 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 Nonparametric 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 TimeConsistent 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
 10.1007/9783319738482
 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
 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 BigButBiased 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 SimplicialType Band Depths; 4 Data Examples; References
 On the Combination of DepthBased Ranks1 Introduction; 2 Depths, DepthBased 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 Interoccurrence 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 Nonparametric 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 TimeConsistent 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
 10.1007/9783319738482
 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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