The Mathematics of the Uncertain

A Tribute to Pedro Gil

  • Eduardo Gil
  • Eva Gil
  • Juan Gil
  • María Ángeles Gil

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

Table of contents

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

    1. Front Matter
      Pages 1-1
    2. Pedro Gil
      Pages 3-19
  3. The Mathematics of Chance: Probability, Statistics and Applications

    1. Front Matter
      Pages 21-21
    2. Eustasio del Barrio, Juan A. Cuesta-Albertos, Carlos Matrán
      Pages 33-44
    3. Carlo Bertoluzza, Rosa Casals, Gloria Naval, Antonia Salas
      Pages 45-54
    4. Ricardo Cao, Laura Borrajo
      Pages 55-65
    5. Ignacio Cascos, Ilya Molchanov
      Pages 67-78
    6. Ignacio Cascos, Ignacio Montes
      Pages 79-88
    7. Enrique Castillo, Zacarías Grande, Elena Mora
      Pages 89-100
    8. Ana Colubi, J. Santos Domínguez-Menchero, Gil González-Rodríguez
      Pages 101-108
    9. J. Santos Domínguez-Menchero, Emilio Torres-Manzanera
      Pages 121-126
    10. Jenifer Espasandín-Domínguez, Carmen Carollo-Limeres, Luis Coladas-Uría, Carmen Cadarso-Suárez, Oscar Lado-Baleato, Francisco Gude
      Pages 135-146
    11. María Dolores Esteban, Domingo Morales, María del Mar Rueda
      Pages 147-154
    12. Luis Angel García-Escudero, Alfonso Gordaliza, Francesca Greselin, Agustín Mayo-Iscar
      Pages 155-164
    13. Alfonso García-Pérez
      Pages 165-174
    14. Eduardo García-Portugués, Rosa M. Crujeiras, Wenceslao González-Manteiga
      Pages 175-184
    15. F. Javier Girón, M. Lina Martínez
      Pages 185-194
    16. Miguel A. Gómez-Villegas, Beatriz González-Pérez
      Pages 195-207
    17. Raúl Gouet, Miguel Lafuente, F. Javier López, Gerardo Sanz
      Pages 209-217
    18. Ipek Guler, Christel Faes, Francisco Gude, Carmen Cadarso-Suárez
      Pages 219-229
    19. José Manuel Llaneza, Norberto Corral, Sara Busto, Amer Zanabili, Manuel Alonso
      Pages 231-243
    20. María Concepción López-Díaz, Miguel López-Díaz
      Pages 245-251
    21. Jesús López–Fidalgo, Chiara Tommasi
      Pages 253-263
    22. Pablo Martínez-Camblor, Sonia Pérez-Fernández, Norberto Corral
      Pages 273-284
    23. José Manuel Menéndez-Estébanez, José Manuel González-Sariego
      Pages 285-294
    24. Enrique Miranda, Arthur Van Camp, Gert de Cooman
      Pages 309-318
    25. M. Macarena Muñoz-Conde, Joaquín Muñoz-García, Antonio Pascual-Acosta, Rafael Pino-Mejías
      Pages 329-336
    26. Angela L. Riffo-Campos, Francisco Montes, Guillermo Ayala
      Pages 337-346
    27. Alejandro Saavedra-Nieves, Ignacio García-Jurado, M. Gloria Fiestras-Janeiro
      Pages 347-356
    28. Miquel Salicrú, Juan José Barreiro, María Isabel González-Framil
      Pages 357-365
    29. Antonio Salmerón, Fernando Reche
      Pages 367-374
    30. Antonio Vaamonde-Liste, Manuel Meijide-Vecino, Patricio Sánchez-Bello, Pilar Muñoz-Dueñas
      Pages 401-409
    31. Mariano J. Valderrama, Manuel Escabias, Federico Galán, Antonio Gil
      Pages 411-419
    32. Ricardo Vélez, Tomás Prieto-Rumeau
      Pages 421-429
    33. Xiaojun Zhu, Debanjan Mitra, Narayanaswamy Balakrishnan
      Pages 431-449
  4. The Mathematics of Communication: Information Theory and Applications

    1. Front Matter
      Pages 451-451
    2. María Carmen Alonso, Ignacio Martínez
      Pages 453-463
    3. Carles M. Cuadras, Sonia Salvo-Garrido
      Pages 475-484
    4. María Isabel González Vasco, Santos González, Consuelo Martínez, Adriana Suárez Corona
      Pages 493-504

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 (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.


Statistics Fuzzy Sets and Applications Information Theory Communications Computer Sciences Mathematics and Applications Statistical Inference Randomness

Editors and affiliations

  • Eduardo Gil
    • 1
  • Eva Gil
    • 2
  • Juan Gil
    • 3
  • María Ángeles Gil
    • 4
  1. 1.LiberbankOviedoSpain
  2. 2.Viajes El Corte InglésOviedoSpain
  3. 3.Funl MediaOxfordUnited Kingdom
  4. 4.Departamento de Estadística e Investigación Operativa y Didáctica de la Matemática, Facultad de CienciasUniversidad de OviedoOviedoSpain

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-73847-5
  • Online ISBN 978-3-319-73848-2
  • Series Print ISSN 2198-4182
  • Series Online ISSN 2198-4190
  • Buy this book on publisher's site