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Modern Mathematical Tools and Techniques in Capturing Complexity

  • Book
  • © 2011

Overview

Editors:
  1. Leandro Pardo

    1. Departamento de Estadística e I. O., Facultad de Matemáticas, Universidad Complutense de Madrid, Spain

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  2. Narayanaswamy Balakrishnan

    1. Department of Mathematics and Statistics, McMaster University Hamilton, Canada

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  3. María Ángeles Gil

    1. Departamento de Estadística e I. O. y, D.M., Universidad de Oviedo, Oviedo, Spain

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  • Presents modern Mathematical Tools and Techniques in Capturing Complexity
  • Recent research in applied complex system
  • Written by leading experts in the field

Part of the book series: Understanding Complex Systems (UCS)

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Table of contents (34 chapters)

  1. Front Matter

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  2. Advanced Methods in Statistics

    1. Front Matter

      Pages 1-1
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    2. A General View of the Goodness-of-Fit Tests for Statistical Models

      • Wenceslao González-Manteiga, Rosa M. Crujeiras
      Pages 3-16

    3. Linear Properties in a Continuous Time Linear Model

      • Pilar Ibarrola, Ana Pérez-Palomares
      Pages 17-27

    4. δ-Outliers and Their Identification in Real-Valued Continuous Random Fields

      • María Macarena Muñoz-Conde, Joaquín Muñoz-García, María Dolores Jiménez-Gamero
      Pages 29-37

    5. Capability Index for Multivariate Processes That Are Non-stable over Time

      • Miquel Salicrú, Juan J. Barreiro, Sergi Civit-Vives
      Pages 39-54

  3. Applied Mathematics

    1. Front Matter

      Pages 55-55
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    2. Hopf Bifurcation and Bifurcation from Constant Oscillations to a Torus Path for Delayed Complex Ginzburg-Landau Equations

      • Alfonso Casal, Jesús Ildefonso Díaz, Michael Stich, José Manuel Vegas
      Pages 57-76

    3. Invariant Lagrangians on the Vertically Adapted Linear Frame Bundle

      • Jeffrey K. Lawson, M. Eugenia Rosado-María
      Pages 77-89

    4. On the Computation of Differential Resultants

      • Sonia L. Rueda
      Pages 91-103

  4. Distribution Theory and Applications

    1. Front Matter

      Pages 105-105
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    2. Convolution of Heterogeneous Bernoulli Random Variables and Some Applications

      • Narayanaswamy Balakrishnan, Maochao Xu
      Pages 107-118

    3. The Effect of Non-normality in the Power Exponential Distributions

      • Miguel A. Gómez-Villegas, Eusebio Gómez-Sánchez-Manzano, Paloma Maín, Hilario Navarro
      Pages 119-129

    4. Characterization Results for the Skewed Double Exponential Distributions

      • Keshav Jagannathan, Arjun K. Gupta, Truc T. Nguyen
      Pages 131-139

    5. Generalized Beta Generated-II Distributions

      • Kostas Zografos
      Pages 141-153

  5. Divergence Measures and Statistical Applications

    1. Front Matter

      Pages 155-155
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    2. Using Power-Divergence Statistics to Test for Homogeneity in Product-Multinomial Distributions

      • Noel Cressie, Frederick M. Medak
      Pages 157-175

    3. Statistical Information Tools for Multivariate Discrete Data

      • Ove Frank
      Pages 177-190

    4. Minimum Phi-Divergence Estimators of a Set of Binomial Probabilities

      • María Luisa Menéndez, Leandro Pardo
      Pages 191-205

    5. Detection of Outlying Points in Ordered Polytomous Regression

      • María Carmen Pardo, Julio A. Pardo
      Pages 207-220
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Keywords

About this book

Real-life problems are often quite complicated in form and nature and, for centuries, many different mathematical concepts, ideas and tools have been developed to formulate these problems theoretically and then to solve them either exactly or approximately.

This book aims to gather a collection of papers dealing with several different problems arising from many disciplines and some modern mathematical approaches to handle them. In this respect, the book offers a wide overview on many of the current trends in Mathematics as valuable formal techniques in capturing and exploiting the complexity involved in real-world situations.

Several researchers, colleagues, friends and students of Professor María Luisa Menéndez have contributed to this volume to pay tribute to her and to recognize the diverse contributions she had made to the fields of Mathematics and Statistics and to the profession in general. She had a sweet and strong personality, and instilled great values and work ethics in her students through her dedication to teaching and research. Even though the academic community lost her prematurely, she would continue to provide inspiration to many students and researchers worldwide through her published work.      

Editors and Affiliations

  • Departamento de Estadística e I. O., Facultad de Matemáticas, Universidad Complutense de Madrid, Spain

    Leandro Pardo

  • Department of Mathematics and Statistics, McMaster University Hamilton, Canada

    Narayanaswamy Balakrishnan

  • Departamento de Estadística e I. O. y, D.M., Universidad de Oviedo, Oviedo, Spain

    María Ángeles Gil

Bibliographic Information

  • Book Title: Modern Mathematical Tools and Techniques in Capturing Complexity

  • Editors: Leandro Pardo, Narayanaswamy Balakrishnan, María Ángeles Gil

  • Series Title: Understanding Complex Systems

  • DOI: https://doi.org/10.1007/978-3-642-20853-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Berlin Heidelberg 2011

  • Hardcover ISBN: 978-3-642-20852-2Published: 26 May 2011

  • Softcover ISBN: 978-3-642-26835-9Published: 15 July 2013

  • eBook ISBN: 978-3-642-20853-9Published: 26 May 2011

  • Series ISSN: 1860-0832

  • Series E-ISSN: 1860-0840

  • Edition Number: 1

  • Number of Pages: XIV, 514

  • Topics: Complexity, Applications of Nonlinear Dynamics and Chaos Theory, Systems Theory, Control

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