Entropy-Based Parameter Estimation in Hydrology

  • Vijay P. Singh

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

Table of contents

  1. Front Matter
    Pages i-xv
  2. Vijay P. Singh
    Pages 1-11
  3. Vijay P. Singh
    Pages 12-44
  4. Vijay P. Singh
    Pages 45-48
  5. Vijay P. Singh
    Pages 49-55
  6. Vijay P. Singh
    Pages 56-67
  7. Vijay P. Singh
    Pages 68-81
  8. Vijay P. Singh
    Pages 82-107
  9. Vijay P. Singh
    Pages 108-136
  10. Vijay P. Singh
    Pages 137-149
  11. Vijay P. Singh
    Pages 150-168
  12. Vijay P. Singh
    Pages 169-183
  13. Vijay P. Singh
    Pages 184-201
  14. Vijay P. Singh
    Pages 202-230
  15. Vijay P. Singh
    Pages 231-251
  16. Vijay P. Singh
    Pages 252-274
  17. Vijay P. Singh
    Pages 275-283
  18. Vijay P. Singh
    Pages 284-296
  19. Vijay P. Singh
    Pages 297-311
  20. Vijay P. Singh
    Pages 312-323

About this book

Introduction

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.

Keywords

environment environmental science hydrology

Authors and affiliations

  • Vijay P. Singh
    • 1
  1. 1.Water Resources Program, Department of Civil and Environmental EngineeringLouisiana State UniversityBaton RougeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-1431-0
  • Copyright Information Springer Science+Business Media B.V. 1998
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-5089-2
  • Online ISBN 978-94-017-1431-0
  • Series Print ISSN 0921-092X
  • About this book