D. Koutsoyiannis, *Statistical Hydrology*, Edition 4, 312 pages, doi:10.13140/RG.2.1.5118.2325, National Technical University of Athens, Athens, 1997.

[doc_id=122]

[Greek]

The book contains eight chapters. The first makes the connection between engineering hydrology and probability theory. The second and third chapters review the necessary concepts from probability theory and statistics, respectively. The fourth chapter introduces the probabilistic description of hydrological processes and analyzes the concepts of return period and risk. The fifth chapter is devoted to the typical statistical analysis of a hydrological variable and, in particular, it discusses the sample statistical characteristics, the histogram and the empirical distribution function, as well as the selection and fitting of a theoretical distribution function, and the statistical hydrological forecasting. The sixth chapter refers to the common distributions of statistical hydrology (normal distribution and its transformations, group of gamma distributions, asymptotic distributions of extremes, etc.). The seventh chapter covers the statistical analysis of two random variables, the least squares estimation, and their applications to fill in and extend hydrological samples. Finally, the eighth chapter is devoted to the analysis of a random variable dependent on a parameter, with application to the construction of ombrian curves.

**Full text:**

- Preface and contents (280 KB)
- Chapter 1: Linking engineering hydrology and probability (196 KB)
- Chapter 2: Introductory concepts of probability theory (492 KB)
- Chapter 3: Introductory concepts of statistics (479 KB)
- Chapter 4: Special concepts of probability theory in hydrology (469 KB)
- Chapter 5: Typical statistical analysis of a single hydrological variable (529 KB)
- Chapter 6: Common distribution functions in engineering hydrology (664 KB)
- Chapter 7: Bivariate analysis - Least square estimation (795 KB)
- Chapter 8: Analysis of a random variable dependent on a parameter - Ombrian relationships (631 KB)
- Appendices and references (467 KB)

**Additional material:**

- Entire text (from kallipos.gr) (4201 KB)

**See also:**
http://hdl.handle.net/11419/5889

**Related works:**

- [doc_id=1322] A related book in English with additional analyses and generalizations

**Our works that reference this work:**

1. | D. Koutsoyiannis, D. Kozonis, and A. Manetas, A mathematical framework for studying rainfall intensity-duration-frequency relationships, Journal of Hydrology, 206 (1-2), 118–135, doi:10.1016/S0022-1694(98)00097-3, 1998. |

2. | H. Tyralis, D. Koutsoyiannis, and S. Kozanis, An algorithm to construct Monte Carlo confidence intervals for an arbitrary function of probability distribution parameters, Computational Statistics, 28 (4), 1501–1527, doi:10.1007/s00180-012-0364-7, 2013. |

3. | G. Tsekouras, and D. Koutsoyiannis, Stochastic analysis and simulation of hydrometeorological processes associated with wind and solar energy, Renewable Energy, 63, 624–633, doi:10.1016/j.renene.2013.10.018, 2014. |

4. | D. Koutsoyiannis, Stochastics of Hydroclimatic Extremes - A Cool Look at Risk, Edition 3, ISBN: 978-618-85370-0-2, 391 pages, doi:10.57713/kallipos-1, Kallipos Open Academic Editions, Athens, 2023. |

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1. | Veneziano, D., and A. Langousis, The areal reduction factor: A multifractal analysis, Water Resources Research, 41 (7), W07008, 2005. |

2. | Singh, V.P., and L. Zhang, IDF curves using the Frank Archimedean copula, Journal of Hydrologic Engineering, 12(6), 651-662, 2007. |

3. | Karavitis, C. A., C. Chortaria, S. Alexandris,C. G. Vasilakou and D. E. Tsesmelis, Development of the standardised precipitation index for Greece, Urban Water Journal, 9 (6), 401-417, 2012. |

**Tagged under:**
Course bibliography: Stochastic methods