Fundamentals of Statistical Hydrology

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.

Chapter 1: Introduction to Statistical Hydrology. - Chapter 2: Preliminary Analysis of Hydrological Data. - Chapter 3: Elementary Theory of Probability. - Chapter 4: Discrete Random Variables: Distributions and Applications. - Chapter 5: Continuous Random Variables: Distributions and Applications. - Chapter 6: Parameter Estimation. - Chapter 7: Hypothesis Testing. - Chapter 8: At-Site Frequency Analysis of Hydrological Variables. - Chapter 9: Correlation and Regression. - Chapter 10: Regional Frequency Analysis of Hydrological Variables. - Chapter 11: Introduction of Bayesian Analysis and Its Applications in Hydrology. - Chapter 12: Introduction to the Analysis and Modelling of Nonstationary Hydrological Series.