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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. The Mathematics of Chance: Probability, Statistics and Applications

    1. Asymptotic Behavior of Fractional Blending Systems

      • F. Javier Girón, M. Lina Martínez
      Pages 185-194
    2. Multiple Hypothesis Tests: A Bayesian Approach

      • Miguel A. Gómez-Villegas, Beatriz González-Pérez
      Pages 195-207
    3. \(\delta \)-Records Observations in Models with Random Trend

      • Raúl Gouet, Miguel Lafuente, F. Javier López, Gerardo Sanz
      Pages 209-217
    4. Recent Developments and Advances in Joint Modelling of Longitudinal and Survival Data

      • Ipek Guler, Christel Faes, Francisco Gude, Carmen Cadarso-Suárez
      Pages 219-229
    5. Long-Term Survival After Abdominal Aortic Aneurysm Repair

      • José Manuel Llaneza, Norberto Corral, Sara Busto, Amer Zanabili, Manuel Alonso
      Pages 231-243
    6. Some Comments on Stochastic Orders and Posets

      • María Concepción López-Díaz, Miguel López-Díaz
      Pages 245-251
    7. Optimal Experimental Design for Model Selection: A Partial Review

      • Jesús López–Fidalgo, Chiara Tommasi
      Pages 253-263
    8. A Diagnostic Test Approach for Multitesting Problems

      • Pablo Martínez-Camblor, Sonia Pérez-Fernández, Norberto Corral
      Pages 273-284
    9. The Length-Time Bias in Tourism Surveys

      • José Manuel Menéndez-Estébanez, José Manuel González-Sariego
      Pages 285-294
    10. Choice Functions and Rejection Sets

      • Enrique Miranda, Arthur Van Camp, Gert de Cooman
      Pages 309-318
    11. Field Substitution and Sequential Sampling Method

      • M. Macarena Muñoz-Conde, Joaquín Muñoz-García, Antonio Pascual-Acosta, Rafael Pino-Mejías
      Pages 329-336
    12. Working with (too) Few Samples

      • Angela L. Riffo-Campos, Francisco Montes, Guillermo Ayala
      Pages 337-346
    13. Estimation of the Owen Value Based on Sampling

      • Alejandro Saavedra-Nieves, Ignacio García-Jurado, M. Gloria Fiestras-Janeiro
      Pages 347-356
    14. The \(\beta \)-Gradient for Testing Probability Profiles

      • Miquel Salicrú, Juan José Barreiro, María Isabel González-Framil
      Pages 357-365
    15. Mixtures of Gaussians as a Proxy in Hybrid Bayesian Networks

      • Antonio Salmerón, Fernando Reche
      Pages 367-374

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