Flood Frequency Analysis: Rao; A. Ramachandro.: 9780849300837: Book: Science: eCampus.com

Offers details that provide the basis for the computations, illustrating each procedure with real data. Provides the ideal vehicle for practicing hydrologists and engineers to explore and apply the latest methods and research results, contributing to the advancement of the field.

List of Tables

List of Figures

Preface

xix

Acknowledgments

xxi

Introduction

(22)

Hydrologic Frequency Analysis

(1)

General Aspects and Approaches

(3)

Other Models

(2)

Return Period, Probability, and Plotting Positions

(2)

Flood Frequency Models

(2)

Hydrologic Risk

(1)

Regionalization

(1)

Tests of Hydrologic Data

(11)

Test for Independence and Stationarity

(1)

Homogeneity and Stationarity Tests

(2)

Test for Outliers

(7)

Selection and Evaluation of Parent Distributions: Conventional Moments

(30)

Moments of Distributions and Their Sample Estimates

(3)

Moment Ratio Diagrams (MRDs)

(10)

Probability Plots

(2)

Selection of Distributions

(9)

Chi-Square and Psi Tests

(2)

Kolmogorov--Smirnov Test

(4)

Regional Homogeneity and Regionalization

(6)

Selection and Evaluation of Parent Distributions: Probability Weighted Moments and L--Moments

(20)

Moments of Distributions and Their Sample Estimates

(3)

L-Moment Ratio Diagrams

(5)

Tests Based on L-Moments

(3)

Goodness-of-Fit Tests

(1)

Regional Homogeneity Tests

(2)

A Case Study

(9)

Data and Preliminary Analysis

(1)

Regional Homogeneity

(4)

Regional Quantile Estimates

(4)

Parameter and Quantile Estimation

(10)

Introduction

(1)

Parameter Estimation

(3)

Method of Moments (MOM)

(1)

Method of Maximum Likelihood (MLM)

(1)

Method of Probability Weighted Moments (PWM)

(1)

Quantile Estimation

(1)

Confidence Intervals

(6)

Standard Error in the MOM

(2)

Standard Error in the MLM

(1)

Standard Error in the PWM

(2)

Normal and Related Distributions

(44)

Normal Distribution

(13)

Introduction

(2)

Parameter Estimation

(1)

Method of Moments

(1)

Maximum Likelihood (ML) Method

(1)

PWM Method

(3)

Quantile Estimates

(2)

Standard Error

(1)

Method of Moments

(1)

ML Method

(2)

PWM Method

(2)

Two-Parameter Lognormal (LN(2)) Distribution

(11)

Introduction

(1)

Parameter Estimation

(1)

Method of Moments

(1)

Maximum Likelihood (ML) Method

(1)

PWM Method

(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


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