United States
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After five decades, the field of Statistical Hydrology continues to evolve and remains a very active area of investigation. Researchers continue to examine various distributions, methods of estimation of parameters, and problems related to regionalization. However, much of this research appears in journals and reports and usually in a form not easily accessible to practitioners and students, producing a gap between research and practice. Flood Frequency Analysis fills this gap by presenting many of these distributions and estimation procedures in a unified format within a single, self-contained book. Focusing on distribution families popular within the hydrologic community, the authors discuss three parameter estimation methods for each distribution: the method of moments, the maximum likelihood method, and the method of probability weighted moments. They present the details behind the procedures to provide the basis for the computations, and they illustrate each procedure with real data. Only increased use of new methods and distributions can produce a consensus on their validity. With other books on the subject either limited in scope or seriously outdated, Flood Frequency Analysis provides the ideal vehicle for practicing hydrologists and engineers to explore and apply the latest methods and research results, and in doing so, contribute to the advancement of the field.
INTRODUCTION Hydrologic Frequency Analysis General Aspects and Approaches Other Models Return Period, Probability, and Plotting Positions Flood Frequency Models Hydrologic Risk Regionalization Tests on Hydrologic Data SELECTION AND EVALUATION OF PARENT DISTRIBUTION: CONVENTIONAL MOMENTS Moments of Distributions and Their Sample Estimates Moment Ratio Diagrams (MRDs) Probability Plots Selection of Distributions Regional Homogeneity and Regionalization SELECTION AND EVALUATION OF PARENT DISTRIBUTIONS: PROBABILITY WEIGHTED MOMENTS AND L-MOMENTS Moments of Distributions and Their Sample Estimates L-Moment Ratio Diagrams Goodness of Fit Tests A Case Study PARAMETER AND QUANTILE ESTIMATION Introduction Parameter Estimation Quantile Estimation Confidence Intervals NORMAL AND RELATED DISTRIBUTIONS Normal Distribution Two-Parameter Lognormal (LN(2)) Distribution Three-Parameter Lognormal (LM(3)) Distribution GAMMA FAMILY Exponential Distribution Two-Parameter Gamma (G(2)) Distribution Pearson (2) Distribution Log-Pearson (3) Distribution U.S. Water Resources Council Method (WRCM) EXTREME VALUE DISTRIBUTIONS Generalized Extreme Value (GEV) Distribution The Extreme Value Type (EV(1) Distribution Weibul Distribution WAKEBY FAMILY The 5-Parameter Wakeby Distribution (WAK(5)) The 4-Parameter Wakeby Distribution (WAK(4)) The Generalized Pareto Distribution LOGISTIC DISTRIBUTIONS Logistic Distribution Generalized Logistic Distribution COMPUTER PROGRAM Introduction Description of Program REFERENCES
