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 With other books on the subject either limited in scope or seriously outdated, Flood Frequency Analysis provides the ideal vehicle for practicing hydrologists and engineers to explore and apply the latest methods and research results,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.
Author(s): Khaled Hamed, A. Ramachandro. Rao
Series: New directions in civil engineering
Edition: 1
Publisher: CRC Press
Year: 1999
Language: English
Pages: 356
FLOOD FREQUENCY ANALYSIS......Page 1
New Directions in Civil Engineering......Page 3
Contents......Page 6
List of Tables......Page 12
List of Figures......Page 15
Preface......Page 18
Acknowledgments......Page 19
1.2 General Aspects and Approaches......Page 20
1.3 Other Models......Page 23
1.4 Return Period,Probability,and Plotting Positions......Page 25
1.5 Flood Frequency Models......Page 27
1.6 Hydrologic Risk......Page 29
1.7 Regionalization......Page 30
1.8 Tests on Hydrologic Data......Page 31
EXAMPLE 1.8.1......Page 32
1.8.2 Tests Homogeneity and Stationarity......Page 33
EXAMPLE 1.8.2......Page 34
1.8.3 Test for Outliers......Page 35
EXAMPLE 1.8.3......Page 39
2.1 Moments of Distributions and Their Sample Estimates......Page 41
EXAMPLE 2.1.1......Page 43
2.2 Moment Ratio Diagrams (MRDs)......Page 44
EXAMPLE 2.2.1......Page 53
2.3 Probability Plots......Page 54
2.4 Selection of Distributions......Page 56
2.4.1 Chi-Square and Psi Tests......Page 59
EXAMPLE 2.4.1......Page 62
2.4.2 Kolmogorov –Smirnov Test......Page 61
EXAMPLE 2.4.2......Page 64
2.5 Regional Homogeneity and Regionalization......Page 65
EXAMPLE 2.5.1......Page 70
3.1 Moments of Distributions and Their Sample Estimates......Page 71
3.2 L-Moment Ratio Diagrams......Page 74
3.3.1 Goodness-of-Fit Tests......Page 79
3.3.2 Regional Homogeneity Tests......Page 80
3.4.1 Data and Preliminary Analysis......Page 82
3.4.2 Regional Homogeneity......Page 83
3.4.3 Regional Quantile Estimates......Page 87
4.2 Parameter Estimation......Page 91
4.2.1 Method of Moments (MOM)......Page 92
4.2.3 Method of Probability Weighted Moments (PWM)......Page 93
4.3 Quantile Estimation......Page 94
4.4 Confidence Intervals......Page 95
4.4.1 Standard Error in the MOM......Page 96
4.4.2 Standard Error in the MLM......Page 98
4.4.3 Standard Error in the PWM......Page 99
5.1.1 Introduction......Page 101
EXAMPLE 5.1.1......Page 106
Method of Moments:......Page 103
EXAMPLE 5.1.2......Page 109
Maximum Likelihood (ML)Method:......Page 104
PWM Method:......Page 105
5.1.3 Quantile Estimates......Page 108
PWM Method:......Page 112
ML Method:......Page 110
5.2.1 Introduction......Page 114
PWM Method:......Page 117
Method of Moments:......Page 115
EXAMPLE 5.2.2......Page 120
Maximum Likelihood (ML)Method:......Page 116
5.2.3 Quantile Estimates......Page 119
EXAMPLE 5.2.3......Page 124
Method of Moments:......Page 121
ML Method:......Page 122
5.3.1 Introduction......Page 125
PWM Method:......Page 130
Method of Moments:......Page 127
EXAMPLE 5.3.2......Page 134
The Maximum Likelihood (ML)Method:......Page 128
5.3.3 Quantile Estimates......Page 133
EXAMPLE 5.3.3......Page 139
Method of Moments:......Page 135
ML Method:......Page 137
6.1.1 Introduction......Page 144
EXAMPLE 6.1.1......Page 149
Method of Moments:......Page 145
EXAMPLE 6.1.2......Page 151
Maximum Likelihood (ML)Method:......Page 147
PWM Method:......Page 148
6.1.3 Quantile Estimates......Page 150
EXAMPLE 6.1.3......Page 155
Method of Moments:......Page 152
ML Method:......Page 153
PWM Method:......Page 154
6.2.1 Introduction......Page 157
EXAMPLE 6.2.1......Page 162
Method of Moments:......Page 158
EXAMPLE 6.2.2......Page 166
Maximum Likelihood (ML)Method......Page 159
PWM Method......Page 161
6.2.3 Quantile Estimates......Page 163
EXAMPLE 6.2.3......Page 169
ML Method......Page 167
6.3.1 Introduction......Page 171
EXAMPLE 6.3.1......Page 177
Method of Moments:......Page 173
EXAMPLE 6.3.2......Page 181
Maximum Likelihood (ML)Method:......Page 174
PWM Method:......Page 176
6.3.3 Quantile Estimation......Page 180
EXAMPLE 6.3.3......Page 184
ML Method......Page 182
6.4.1 Introduction......Page 187
PWM Method......Page 194
6.4.2 Studies on Skewness Coefficients......Page 191
6.4.4 Quantile Estimation......Page 198
Method of Moments......Page 192
EXAMPLE 6.4.3......Page 204
Maximum Likelihood (ML)Method......Page 193
Method of Moments......Page 200
ML Method:......Page 203
6.5.1 Introduction......Page 208
EXAMPLE 6.5.1......Page 218
6.5.2 Frequency Analysis Procedure by the WRCM......Page 209
EXAMPLE 6.5.2......Page 221
6.5.3 Outlier Tests......Page 216
6.5.4 Confidence Limits......Page 217
7.1 Generalized Extreme Value (GEV)Distribution......Page 224
Method of Moments:......Page 225
EXAMPLE 7.1.1......Page 235
Maximum Likelihood (ML)Method......Page 229
PWM Method......Page 233
EXAMPLE 7.1.2......Page 238
Method of Moments......Page 239
EXAMPLE 7.1.3......Page 243
ML Method......Page 240
PWM Method......Page 242
7.2 The Extreme Value Type I EV1(2)Distribution......Page 246
Maximum Likelihood (ML)Method......Page 249
PWM Method......Page 251
7.2.2 Quantile Estimates......Page 253
EXAMPLE 7.2.2......Page 254
Method of Moments......Page 255
PWM Method......Page 257
ML Method......Page 256
7.3 Weibull Distribution......Page 258
Method of Moments......Page 260
EXAMPLE 7.3.1......Page 264
Maximum Likelihood (ML)Method......Page 262
PWM Method......Page 263
7.3.2 Quantile Estimates......Page 266
EXAMPLE 7.3.2......Page 267
ML Method......Page 268
EXAMPLE 7.3.3......Page 271
8.1.1 Introduction......Page 275
EXAMPLE 8.1.1......Page 279
8.1.2 Parameter Estimation......Page 276
8.1.4 Standard Error......Page 281
8.2.2 Parameter Estimation......Page 283
EXAMPLE 8.2.1......Page 284
EXAMPLE 8.2.2......Page 286
8.2.3 Quantile Estimation......Page 285
8.3.1 Introduction......Page 287
EXAMPLE 8.3.1......Page 294
Method of Moments......Page 288
8.3.3 Quantile Estimation......Page 297
Maximum Likelihood (ML)Method......Page 291
PWM Method......Page 293
EXAMPLE 8.3.3......Page 302
Method of Moments......Page 300
PWM Method......Page 301
Method of Moments......Page 307
EXAMPLE 9.1.1......Page 311
9.1.3 Quantile Estimation......Page 313
Maximum Likelihood (ML)Method......Page 308
PWM Method......Page 310
PWM Method......Page 316
Method of Moments......Page 314
ML Method......Page 315
9.2.1 Introduction......Page 318
PWM Method......Page 327
Method of Moments......Page 320
EXAMPLE 9.2.2......Page 331
Region III –10 < CS < 0; –1/2 < k < –1/3......Page 322
The Maximum Likelihood (ML)Method......Page 323
9.2.3 Quantile Estimation......Page 330
EXAMPLE 9.2.3......Page 334
Method of Moments......Page 332
ML Method......Page 333
10.2 Description of Program......Page 338
References......Page 341
