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.
Author Biography:
Vijay P. Singh is a University Distinguished Professor, a Regents Professor, and Caroline and William N. Lehrer Distinguished Chair in Water Engineering at Texas A & M University. He has published more than 1220 journal articles, thirty books, seventy edited reference books, 113 book chapters, and 314 conference papers in the areas of hydrology, groundwater, hydraulics, irrigation, pollutant transport, copulas, entropy, and water resources. He has received more than ninety-three national and international awards, including the Arid Lands Hydraulic Engineering Award; the Richard R. Torrens Award; the Norman Medal; the EWRI Lifetime Achievement Award given by the American Society of Civil Engineers (ASCE); the Ray K. Linsley Award and Founder's Award, given by the American Institute of Hydrology; the Crystal Drop Award and the Ven Te Chow Award, given by the International Water Resources Association; and three honorary doctorates. He is a Distinguished Member of ASCE, and a fellow of EWRI, AWRA, IWRS, ISAE, IASWC, and IE. He has served as President of the American Institute of Hydrology (AIH), serves on the editorial boards of more than twenty-five journals and three book series, and is President-Elect of AAWRE-ASCE. Lan Zhang currently works as Post-Doctoral Research Scholar in the Department of Agricultural and Biological Engineering at Texas A & M University. She received her B.S. in Mechanical Engineering, her M.S. in Water Resources Sciences, and her Ph.D. in Civil and Environmental Engineering. She has published more than forty articles in the areas of hydrology, copulas, water quality, entropy, and water resources. She has been working on the copula and its applications in hydrology and water resource engineering for more than 10 years.
