Fundamentals of Statistical Hydrology

1. Front Matter

   Pages i-xi

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2. Introduction to Statistical Hydrology

   • Mauro Naghettini

   Pages 1-20

3. Preliminary Analysis of Hydrologic Data

   • Mauro Naghettini

   Pages 21-56

4. Elementary Probability Theory

   • Mauro Naghettini

   Pages 57-97

5. Discrete Random Variables: Probability Distributions and Their Applications in Hydrology

   • Mauro Naghettini

   Pages 99-122

6. Continuous Random Variables: Probability Distributions and Their Applications in Hydrology

   • Mauro Naghettini, Artur Tiago Silva

   Pages 123-201

7. Parameter and Quantile Estimation

   • Mauro Naghettini

   Pages 203-250

8. Statistical Hypothesis Testing

   • Mauro Naghettini

   Pages 251-309

9. At-Site Frequency Analysis of Hydrologic Variables

   • Mauro Naghettini, Eber José de Andrade Pinto

   Pages 311-389

10. Correlation and Regression

    • Veber Costa

    Pages 391-440

11. Regional Frequency Analysis of Hydrologic Variables

    • Mauro Naghettini, Eber José de Andrade Pinto

    Pages 441-495

12. Introduction to Bayesian Analysis of Hydrologic Variables

    • Wilson Fernandes, Artur Tiago Silva

    Pages 497-536

13. Introduction to Nonstationary Analysis and Modeling of Hydrologic Variables

    • Artur Tiago Silva

    Pages 537-577

14. Back Matter

    Pages 579-660

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This textbook covers the main applications of statistical methods in hydrology. It is written for upper undergraduate and graduate students but can be used as a helpful guide for hydrologists, geographers, meteorologists and engineers. The book is very useful for teaching, as it covers the main topics of the subject and contains many worked out examples and proposed exercises. Starting from simple notions of the essential graphical examination of hydrological data, the book gives a complete account of the role that probability considerations must play during modelling, diagnosis of model fit, prediction and evaluating the uncertainty in model predictions, including the essence of Bayesian application in hydrology and statistical methods under nonstationarity.

The book also offers a comprehensive and useful discussion on subjective topics, such as the selection of probability distributions suitable for hydrological variables. On a practical level, it explains MS Excel charting and computing capabilities, demonstrates the use of Winbugs free software to solve Monte Carlo Markov Chain (MCMC) simulations, and gives examples of free R code to solve nonstationary models with nonlinear link functions with climate covariates.

• statistical hydrology textbook
• Statistical Methods in Hydrology
• Frequency Analysis of Hydrological Variables
• Probabilistic Models for Hydrology
• Stochastic Methods in Hydrology
• hydrogeology
• meteorology

• Federal University of Minas Gerais, Belo Horizonte, Brazil

  Mauro Naghettini

Prof. Dr. Mauro da Cunha Naghettini: Civil Engineer, Federal University of Minas Gerais, Belo Horizonte, Brazil, 1977. MSc in Applied Hydrology, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland, 1979. PhD in Civil and Environmental Engineering, University of Colorado at Boulder, Boulder, USA, 1994. From 1979 to 1989: Engineering Hydrologist at CEMIG, the Minas Gerais State power company. From 1989 to 2014: Professor of Civil and Environmental Engineering at the Brazilian Federal University of Minas Gerais with teaching, research and management responsibilities. Retired in 2014.

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