Generalized Frequency Distributions for Environmental and Water Engineering

Overview of systems of frequency distributions, their properties, applications to the fields of water resources and environmental engineering.

Vijay P. Singh (Author), Lan Zhang (Author)

9781316516843, Cambridge University Press

Hardback, published 7 April 2022

250 pages
23.5 x 15.7 x 2.2 cm, 0.628 kg

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.

1. Introduction
2. Burr-Singh-Maddala Distribution
3. Halphen Type A Distribution
4. Halphen Type B Distribution
5. Halphen Inverse B Distribution
6. Three-Parameter Generalized Gamma Distribution
7. Generalized Beta Lomax Distribution
8. Feller-Pareto Distribution
9. Kappa Distribution
10. Four-Parameter Exponential Gamma Distribution
11. Summary: Comparison of Real-World Applications
Index.

Subject Areas: Environmental science, engineering & technology [TQ], Civil engineering, surveying & building [TN], Drought & water supply [RNFD], Environmental management [RNF], The environment [RN], Hydrology & the hydrosphere [RBK], Earth sciences [RB], Statistical physics [PHS]