Statistical Hydrology

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



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.

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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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Other works that reference this work (this list might be obsolete):

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