Statistics

In water sciences, the use of probability and statistics for the treatment of hydroclimatic or water quality data is essential. Lectures and practical sessions will help students to refresh their knowledge (problems for the Baccalaureate, Licence), and then some new notions will be introduced (test for membership of a law in particular).

The course is structured around these chapters:

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

The aim of this course is to bring students up to speed and to give them a basic understanding of the classical approaches to descriptive statistics and regression, whether linear or not,

and to apply simple probability laws (binomial law, normal law, Poisson law). This course also aims at reminding the students of the elements of probability necessary for the exploitation of hydroclimatic information classically used in water sciences. Finally, this course aims to introduce students to the necessary tools of statistical inference. These statistical inference tools will be further developed during the "Hydrological analysis" course offered in the Water Resources program.

Scientific or Technological Baccalaureate (or at least a refresher course in mathematics at Bac level: primitives, integrals, etc.)

Recommended prerequisites*: