Statistics

In water sciences, the use of probability and statistics to process hydroclimatic or water quality data is essential. Lectures and practical exercises will be used to bring students up to speed (Baccalaureate problems, Bachelor's degree), then a few new concepts will be introduced (in particular, testing for membership of a law).

The course is structured around these chapters:

1. Elementary probability theory, combinatorial analysis. (course session n°1, TD1)
2. Discrete and continuous random variables. Probability law and probability density function. Expectation, variance, covariance. (course session n°2, TD2)
3. Simple linear regression (covered in TD3)
4. Multiple linear regression (covered in TD3)
5. Some common probability laws (binomial, Poisson, normal, Gamma, Gumbel) and their application (class 3, TD4)
6. Law membership tests (covered in TD5)

The aim of this course is to bring students up to speed and give them a grounding in the classical approaches to descriptive statistics and regression, both linear and non-linear,

and apply simple probability laws (binomial law, normal law, Poisson's law). The course also recalls the elements of probability needed to exploit the hydroclimatic information traditionally used in water sciences. Finally, the course aims to introduce students to the necessary tools of statistical inference. These statistical inference tools will be further developed in the "Hydrological Analysis" course offered in the Water Resources program.

Scientific or technological baccalaureate (if not, at least a refresher course in mathematics at Bac level: primitives, integrals, etc.).

Recommended prerequisites* :