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Fundamentals of Statistical Hydrology

  • Textbook
  • © 2017

Overview

Editors:
  1. Mauro Naghettini

    1. Federal University of Minas Gerais, Belo Horizonte, Brazil

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  • Describes up-to-date methods for statistical analysis of hydrological variables

  • Includes numerous worked out examples with solutions, exercises with answers, and summaries for descriptors of the main probability distributions

  • Takes a not-too-simple and not-too-difficult approach, suitable for students with a basic-to-moderate background in mathematics

  • Contains useful reviews of mathematical concepts and listings of the hydrological data used within the book

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  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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Keywords

About this book

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.


Editors and Affiliations

  • Federal University of Minas Gerais, Belo Horizonte, Brazil

    Mauro Naghettini

About the editor

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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