Systems of frequency distributions for water and environmental engineering

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書誌事項

Systems of frequency distributions for water and environmental engineering

Vijay P. Singh, Lan Zhang

Cambridge University Press, 2020

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注記

Includes bibliographical references and index

Summary: "A multitude of processes in hydrology and environmental engineering are either random or entail random components which are characterized by random variables. These variables are described by frequency distributions. This book provides an overview of different systems of frequency distributions, their properties, and applications to the fields of water resources and environmental engineering. A variety of systems are covered, including the Pearson system, Burr system, and systems commonly applied in economics, such as the D'Addario, Dagum, Stoppa, and Esteban systems. The latter chapters focus on the Singh system and the frequency distributions deduced from Bessel functions, maximum entropy theory, and the transformations of random variables. The final chapter introduces the genetic theory of frequency distributions. Using real-world data, this book provides a valuable reference for researchers, graduate students, and professionals interested in frequency analysis"-- Provided by publisher

収録内容

  • Pearson system of frequency distributions
  • Burr system of frequency distributions
  • D'Addario system of frequency distributions
  • Dagum system of frequency distributions
  • Stoppa system of frequency distributions
  • Esteban system of frequency distributions
  • Singh system of frequency distributions
  • Systems of frequency distributions using Bessel functions and cumulants
  • Frequency distributions by entropy maximization
  • Transformations for frequency distributions
  • Genetic theory of frequency

内容説明・目次

内容説明

A multitude of processes in hydrology and environmental engineering are either random or entail random components which are characterized by random variables. These variables are described by frequency distributions. This book provides an overview of different systems of frequency distributions, their properties, and applications to the fields of water resources and environmental engineering. A variety of systems are covered, including the Pearson system, Burr system, and systems commonly applied in economics, such as the D'Addario, Dagum, Stoppa, and Esteban systems. The latter chapters focus on the Singh system and the frequency distributions deduced from Bessel functions, maximum entropy theory, and the transformations of random variables. The final chapter introduces the genetic theory of frequency distributions. Using real-world data, this book provides a valuable reference for researchers, graduate students, and professionals interested in frequency analysis.

目次

  • Preface
  • Acknowledgments
  • 1. Introduction
  • 2. Pearson system of frequency distributions
  • 3. Burr system of frequency distributions
  • 4. D'Addario system of frequency distributions
  • 5. Dagum system of frequency distributions
  • 6. Stoppa system of frequency distributions
  • 7. Esteban system of frequency distributions
  • 8. Singh system of frequency distributions
  • 9. Systems of frequency distributions using Bessel function and cumulants
  • 10. Frequency distributions by entropy maximization
  • 11. Transformations for frequency distributions
  • 12. Genetic theory of frequency
  • Index.

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