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  • © 2018

The Mathematics of the Uncertain

A Tribute to Pedro Gil

Editors:

  • 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)
  • Presents over eighty original contributions, predominantly addressing Pedro Gil’s main research field: the Math of the Uncertain (Randomness, Imprecision, Communication, among others)
  • Written by respected experts in the field

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 142)

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Table of contents (85 chapters)

  1. Front Matter

    Pages i-xxv
  2. Pedro Gil’s Vision on the Mathematics of the Uncertain

    1. Front Matter

      Pages 1-1
    2. The Mathematics of the Uncertain

      • Pedro Gil
      Pages 3-19
  3. The Mathematics of Chance: Probability, Statistics and Applications

    1. Front Matter

      Pages 21-21
    2. An Optimal Transportation Approach for Assessing Almost Stochastic Order

      • Eustasio del Barrio, Juan A. Cuesta-Albertos, Carlos Matrán
      Pages 33-44
    3. An Alternative to the Variation Coefficient

      • Carlo Bertoluzza, Rosa Casals, Gloria Naval, Antonia Salas
      Pages 45-54
    4. Nonparametric Mean Estimation for Big-But-Biased Data

      • Ricardo Cao, Laura Borrajo
      Pages 55-65
    5. Band Depths Based on Multiple Time Instances

      • Ignacio Cascos, Ilya Molchanov
      Pages 67-78
    6. On the Combination of Depth-Based Ranks

      • Ignacio Cascos, Ignacio Montes
      Pages 79-88
    7. A Bayesian Network Model for the Probabilistic Safety Assessment of Roads

      • Enrique Castillo, Zacarías Grande, Elena Mora
      Pages 89-100
    8. The Spiking Problem in the Context of the Isotonic Regression

      • Ana Colubi, J. Santos Domínguez-Menchero, Gil González-Rodríguez
      Pages 101-108
    9. Modelling Dynamic Hotel Pricing with Isotonic Functions

      • J. Santos Domínguez-Menchero, Emilio Torres-Manzanera
      Pages 121-126
    10. Bivariate Copula Additive Models for Location, Scale and Shape with Applications in Biomedicine

      • Jenifer Espasandín-Domínguez, Carmen Carollo-Limeres, Luis Coladas-Uría, Carmen Cadarso-Suárez, Oscar Lado-Baleato, Francisco Gude
      Pages 135-146
    11. Domain Mean Estimators Assisted by Nested Error Regression Models

      • María Dolores Esteban, Domingo Morales, María del Mar Rueda
      Pages 147-154
    12. Robust Approaches for Fuzzy Clusterwise Regression Based on Trimming and Constraints

      • Luis Angel García-Escudero, Alfonso Gordaliza, Francesca Greselin, Agustín Mayo-Iscar
      Pages 155-164
    13. Robust Morphometric Analysis Based on Landmarks

      • Alfonso García-Pérez
      Pages 165-174
    14. Smoothing-Based Tests with Directional Random Variables

      • Eduardo García-Portugués, Rosa M. Crujeiras, Wenceslao González-Manteiga
      Pages 175-184

About this book

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 (FuzzySets 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.

Editors and Affiliations

  • Liberbank, Oviedo, Spain

    Eduardo Gil

  • Viajes El Corte Inglés, Oviedo, Spain

    Eva Gil

  • Funl Media, Oxford, United Kingdom

    Juan Gil

  • Departamento de Estadística e Investigación Operativa y Didáctica de la Matemática, Facultad de Ciencias, Universidad de Oviedo, Oviedo, Spain

    María Ángeles Gil

Bibliographic Information

Buy it now

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access