Systems of Frequency Distributions for Water and Environmental Engineering

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.

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.