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Entropy-Based Parameter Estimation in Hydrology

  • Book
  • © 1998

Overview

Authors:
  1. Vijay P. Singh

    1. Water Resources Program, Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, USA

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Part of the book series: Water Science and Technology Library (WSTL, volume 30)

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Entropy and Principle of Maximum Entropy

    • Vijay P. Singh
    Pages 1-11

  3. Methods of Parameter Estimation

    • Vijay P. Singh
    Pages 12-44

  4. Uniform Distribution

    • Vijay P. Singh
    Pages 45-48

  5. Exponential Distribution

    • Vijay P. Singh
    Pages 49-55

  6. Normal Distribution

    • Vijay P. Singh
    Pages 56-67

  7. Two-Parameter Lognormal Distribution

    • Vijay P. Singh
    Pages 68-81

  8. Three-Parameter Lognormal Distribution

    • Vijay P. Singh
    Pages 82-107

  9. Extreme Value Type 1 Distribution

    • Vijay P. Singh
    Pages 108-136

  10. Log-Extreme Value Type 1 Distribution

    • Vijay P. Singh
    Pages 137-149

  11. Extreme Value Type III Distribution

    • Vijay P. Singh
    Pages 150-168

  12. Generalized Extreme Value Distribution

    • Vijay P. Singh
    Pages 169-183

  13. Weibull Distribution

    • Vijay P. Singh
    Pages 184-201

  14. Gamma Distribution

    • Vijay P. Singh
    Pages 202-230

  15. Pearson Type III Distribution

    • Vijay P. Singh
    Pages 231-251

  16. Log-Pearson Type III Distribution

    • Vijay P. Singh
    Pages 252-274

  17. Beta Distribution

    • Vijay P. Singh
    Pages 275-283

  18. Two-Parameter Log-Logistic Distribution

    • Vijay P. Singh
    Pages 284-296

  19. Three-Parameter Log-Logistic Distribution

    • Vijay P. Singh
    Pages 297-311

  20. Two-Parameter Pareto Distribution

    • Vijay P. Singh
    Pages 312-323
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Keywords

About this book

Since the pioneering work of Shannon in the late 1940's on the development of the theory of entropy and the landmark contributions of Jaynes a decade later leading to the development of the principle of maximum entropy (POME), the concept of entropy has been increasingly applied in a wide spectrum of areas, including chemistry, electronics and communications engineering, data acquisition and storage and retreival, data monitoring network design, ecology, economics, environmental engineering, earth sciences, fluid mechanics, genetics, geology, geomorphology, geophysics, geotechnical engineering, hydraulics, hydrology, image processing, management sciences, operations research, pattern recognition and identification, photogrammetry, psychology, physics and quantum mechanics, reliability analysis, reservoir engineering, statistical mechanics, thermodynamics, topology, transportation engineering, turbulence modeling, and so on. New areas finding application of entropy have since continued to unfold. The entropy concept is indeed versatile and its applicability widespread. In the area of hydrology and water resources, a range of applications of entropy have been reported during the past three decades or so. This book focuses on parameter estimation using entropy for a number of distributions frequently used in hydrology. In the entropy-based parameter estimation the distribution parameters are expressed in terms of the given information, called constraints. Thus, the method lends itself to a physical interpretation of the parameters. Because the information to be specified usually constitutes sufficient statistics for the distribution under consideration, the entropy method provides a quantitative way to express the information contained in the distribution.

Reviews

`The author must be congratulated for bringing together such a wealth of information, and for its excellent presentation. The book will become a major reference volume for the parameter estimation of the probability distribution functions applied in water science. It is a welcome contribution to water resources literature and can be nominated as a book of a year in the water science area.'
Pure and Applied Geophysics, 158 (2001)

Authors and Affiliations

  • Water Resources Program, Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, USA

    Vijay P. Singh

Bibliographic Information

  • Book Title: Entropy-Based Parameter Estimation in Hydrology

  • Authors: Vijay P. Singh

  • Series Title: Water Science and Technology Library

  • DOI: https://doi.org/10.1007/978-94-017-1431-0

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1998

  • Hardcover ISBN: 978-0-7923-5224-2Published: 31 October 1998

  • Softcover ISBN: 978-90-481-5089-2Published: 06 December 2010

  • eBook ISBN: 978-94-017-1431-0Published: 17 April 2013

  • Series ISSN: 0921-092X

  • Series E-ISSN: 1872-4663

  • Edition Number: 1

  • Number of Pages: XV, 368

  • Topics: Hydrogeology, Geoengineering, Foundations, Hydraulics, Atmospheric Sciences

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