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Flood Frequency Analysis [Hardback]

Edited by (Purdue University, West Lafayette, Indiana, USA), Edited by (Cairo University, Giza, Egypt)
  • Formāts: Hardback, 372 pages, height x width: 234x156 mm, weight: 703 g, 57 Tables, black and white
  • Izdošanas datums: 15-Oct-1999
  • Izdevniecība: CRC Press Inc
  • ISBN-10: 0849300835
  • ISBN-13: 9780849300837
  • Hardback
  • Cena: 288,80 €
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  • Formāts: Hardback, 372 pages, height x width: 234x156 mm, weight: 703 g, 57 Tables, black and white
  • Izdošanas datums: 15-Oct-1999
  • Izdevniecība: CRC Press Inc
  • ISBN-10: 0849300835
  • ISBN-13: 9780849300837
Rao and Hamed present in a unified format some popular and promising distributions and estimations procedures that have been developed during the five decades of statistical hydrology. They include three parameter estimation methods for each distribution: the method of moments, the maximum likelihood method, and the method of probability weighted moments; the standard errors of estimates; real data illustrating each procedure; and recent research results. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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. Most of the computations discussed have been programmed for use with personal computers, and executable versions of these programs are available on CD-ROM from the senior author.
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.

Recenzijas

"Flood Frequency Analysis contains information from authentic highly regarded reference resources. A substantial number of tables related to flood frequency analysis are included and will enable the student to understand the data required for adequate analysis. Also presented is a good selection of figures illustrating solutions to flood frequency problems It is a state-of-the-art presentation and is important as a source of graduate reference material." -Philip E. LaMoreaux, Editor-in-Chief, Environmental Geology, November 2001

List of Tables
xi
List of Figures
xv
Preface xix
Acknowledgments xxi
Introduction
1(22)
Hydrologic Frequency Analysis
1(1)
General Aspects and Approaches
1(3)
Other Models
4(2)
Return Period, Probability, and Plotting Positions
6(2)
Flood Frequency Models
8(2)
Hydrologic Risk
10(1)
Regionalization
11(1)
Tests of Hydrologic Data
12(11)
Test for Independence and Stationarity
13(1)
Homogeneity and Stationarity Tests
14(2)
Test for Outliers
16(7)
Selection and Evaluation of Parent Distributions: Conventional Moments
23(30)
Moments of Distributions and Their Sample Estimates
23(3)
Moment Ratio Diagrams (MRDs)
26(10)
Probability Plots
36(2)
Selection of Distributions
38(9)
Chi-Square and Psi Tests
41(2)
Kolmogorov--Smirnov Test
43(4)
Regional Homogeneity and Regionalization
47(6)
Selection and Evaluation of Parent Distributions: Probability Weighted Moments and L--Moments
53(20)
Moments of Distributions and Their Sample Estimates
53(3)
L-Moment Ratio Diagrams
56(5)
Tests Based on L-Moments
61(3)
Goodness-of-Fit Tests
61(1)
Regional Homogeneity Tests
62(2)
A Case Study
64(9)
Data and Preliminary Analysis
64(1)
Regional Homogeneity
65(4)
Regional Quantile Estimates
69(4)
Parameter and Quantile Estimation
73(10)
Introduction
73(1)
Parameter Estimation
73(3)
Method of Moments (MOM)
74(1)
Method of Maximum Likelihood (MLM)
75(1)
Method of Probability Weighted Moments (PWM)
75(1)
Quantile Estimation
76(1)
Confidence Intervals
77(6)
Standard Error in the MOM
78(2)
Standard Error in the MLM
80(1)
Standard Error in the PWM
81(2)
Normal and Related Distributions
83(44)
Normal Distribution
83(13)
Introduction
83(2)
Parameter Estimation
85(1)
Method of Moments
85(1)
Maximum Likelihood (ML) Method
86(1)
PWM Method
87(3)
Quantile Estimates
90(2)
Standard Error
92(1)
Method of Moments
92(1)
ML Method
92(2)
PWM Method
94(2)
Two-Parameter Lognormal (LN(2)) Distribution
96(11)
Introduction
96(1)
Parameter Estimation
97(1)
Method of Moments
97(1)
Maximum Likelihood (ML) Method
98(1)
PWM Method
99(2)
Quantile Estimates
101(2)
Standard Error
103(1)
Method of Moments
103(1)
ML Method
104(3)
Three-Parameter Lognormal (LN(3)) Distribution
107(20)
Introduction
107(2)
Parameter Estimation
109(1)
Method of Moments
109(1)
The Maximum Likelihood (ML) Method
110(2)
PWM Method
112(3)
Quantile Estimates
115(2)
Standard Error
117(1)
Method of Moments
117(2)
ML Method
119(8)
The Gamma Family
127(80)
Exponential Distribution
127(13)
Introduction
127(1)
Parameter Estimation
128(1)
Method of Moments
128(2)
Maximum Likelihood (ML) Method
130(1)
PWM Method
131(2)
Quantile Estimates
133(2)
Standard Error
135(1)
Method of Moments
135(1)
ML Method
136(1)
PWM Method
137(3)
Two-Parameter Gamma (G(2)) Distribution
140(14)
Introduction
140(1)
Parameter Estimation
141(1)
Method of Moments
141(1)
Maximum Likelihood (ML) Method
142(2)
PWM Method
144(2)
Quantile Estimates
146(4)
Standard Errors
150(1)
Method of Moments
150(1)
ML Method
150(4)
Pearson (3) Distribution
154(16)
Introduction
154(2)
Parameter Estimation
156(1)
Method of Moments
156(1)
Maximum Likelihood (ML) Method
157(2)
PWM Method
159(4)
Quantile Estimation
163(2)
Standard Errors
165(1)
Method of Moments
165(1)
ML Method
165(5)
Log-Pearson (3) Distribution
170(21)
Introduction
170(4)
Studies on Skewness Coefficients
174(1)
Parameter Estimation
175(1)
Method of Moments
175(1)
Maximum Likelihood (ML) Method
176(1)
PWM Method
177(4)
Quantile Estimation
181(2)
Standard Error
183(1)
Method of Moments
183(3)
ML Method
186(5)
U.S. Water Resources Council Method (WRCM)
191(16)
Introduction
191(1)
Frequency Analysis Procedure by the WRCM
192(7)
Outlier Tests
199(1)
Confidence Limits
200(7)
Extreme Value Distributions
207(52)
Generalized Extreme Value (GEV) Distribution
207(22)
Parameter Estimation
208(1)
Method of Moments
208(4)
Maximum Likelihood (ML) Method
212(4)
PWM Method
216(5)
Quantile Estimates
221(1)
Standard Error
222(1)
Method of Moments
222(1)
ML Method
223(2)
PWM Method
225(4)
The Extreme Value Type I EV(1) Distribution
229(12)
Parameter Estimation
232(1)
Method of Moments
232(1)
Maximum Likelihood (ML) Method
232(2)
PWM Method
234(2)
Quantile Estimates
236(2)
Standard Error
238(1)
Method of Moments
238(1)
ML Method
239(1)
PWM Method
240(1)
Weibull Distribution
241(18)
Parameter Estimation
243(1)
Method of Moments
243(2)
Maximum Likelihood (ML) Method
245(1)
PWM Method
246(3)
Quantile Estimates
249(2)
Standard Errors
251(1)
Method of Moments
251(1)
ML Method
251(8)
The Wakeby Distribution
259(32)
The Five-Parameter Wakeby Distribution (WAK(5))
259(8)
Introduction
259(1)
Parameter Estimation
260(5)
Quantile Estimation
265(1)
Standard Error
265(2)
The Four-Parameter Wakeby Distribution (WAK(4))
267(4)
Introduction
267(1)
Parameter Estimation
267(2)
Quantile Estimation
269(2)
Standard Error
271(1)
The Generalized Pareto Distribution
271(20)
Introduction
271(1)
Parameter Estimation
272(1)
Method of Moments
272(3)
Maximum Likelihood (ML) Method
275(2)
PWM Method
277(4)
Quantile Estimation
281(3)
Standard Error
284(1)
Method of Moments
284(1)
ML Method
285(1)
PWM Method
285(6)
The Logistic Distribution
291(32)
Logistic Distribution
291(11)
Introduction
291(1)
Parameter Estimation
291(1)
Method of Moments
291(1)
Maximum Likelihood (ML) Method
292(2)
PWM Method
294(3)
Quantile Estimation
297(1)
Standard Error
298(1)
Method of Moments
298(1)
ML Method
299(1)
PMW Method
300(2)
Generalized Logistic Distribution
302(21)
Introduction
302(2)
Parameter Estimation
304(1)
Method of Moments
304(2)
Region I: -10 < Cs < 10; -1/3 < k < 1/3
306(1)
Region II: 0 < Cs < 10; 1/3 < k < 1/2
306(1)
Region III: -10 < Cs < 0; -1/2 < k < -1/3
306(1)
The Maximum Likelihood (ML) Method
307(4)
PWM Method
311(3)
Quantile Estimation
314(2)
Standard Error
316(1)
Method of Moments
316(1)
ML Method
317(6)
Computer Program
323(4)
Introduction
323(1)
Description of Program
323(4)
References 327(16)
Index 343


Hamed, Khaled; Rao, A. Ramachandro.