probability-distributions-for-hydrology-with-python's Introduction

Probability Distributions for hydrology with Python

1. Summary

A Probability distribution is a function that represents the probability of occurrence of a random variable. Probability distributions are used in various hydrological studies, particularly in studies of extreme flows, floods, etc.

Application case: Determination of maximum flows for different return periods.

2. Contents

The repository contains the following Probability Distributions and Frequency Tables developed in Python 3.6:

Abramowitz, stegun and Masting tables ("t" y "F(z)")
2-Parameter Log Normal Distribution
3-Parameter Log Normal Distribution
Log Pearson Distribution
Normal Distribution
Pearson Distribution
Gumbel Distribution
Gumbel frequency factors
Normal frequency factors
Pearson frequency factors
Weibul frequency factors

the return times are: 2, 5, 10, 25, 50, 100, 200, 500, 1000 years.

3. Recommendations

install following libraries: Math, Numpy, Statistics and Pandas.
Download files and execute.

4. References

[1] Monsalve, G. (1995). Hidrología en la Ingeniería. Bogotá, Colombia: Escuela Colombiana de Ingeniería.

[2] Villón, M. (2006). Hidrología Estadística. Costa Rica: Tecnológica de Costa Rica.

[3] Chow, V.; Maidment, D. & Mays, L. (1994) Hidrología Aplicada. Bgotá, Colombia: McGRAW-HILL INTERAMERICANA S.A.

5. Acknowledgments

To Mg. Eng. Jorge Gastelo Villanueva, Professor of statistical hydrology, UNMSM, and Harold Mendoza Romero, Engineering Bachelor.

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