Statistics

In water sciences, the use of probability and statistics for processing hydroclimatic or water quality data is essential. Lectures and practical tutorials will help students refresh their knowledge (high school and bachelor's degree exam questions), and then some new concepts will be introduced (in particular, tests of compliance with a law).

The course is structured around the following chapters:

1. Elementary probability theory, combinatorial analysis. (lecture session no. 1, tutorial 1)
2. Discrete and continuous random variables. Probability distribution and probability density function. Expectation, variance, covariance. (lecture session no. 2, TD2)
3. Simple linear regression (covered in TD3)
4. Multiple linear regression (covered in TD3)
5. Some common probability distributions (binomial distribution, Poisson distribution, normal distribution, Gamma distribution, Gumbel distribution) and their applications (lecture 3, tutorial 4)
6. Tests of belonging to a law (covered in TD5)

The EU aims to bring students up to speed and provide them with the basics of traditional approaches to descriptive statistics and regression, both linear and non-linear.

single or multiple, and apply simple probability laws (binomial law, normal law, Poisson law). This course unit also aims to review the elements of probability necessary for the use of hydroclimatic information traditionally used in water sciences. Finally, the course aims to introduce students to the necessary tools for statistical inference. These statistical inference tools will be explored in greater depth in the "Hydrological Analysis" course offered in the Water Resources program.

Scientific or Technological Baccalaureate (otherwise refresher course in mathematics at Baccalaureate level minimum: primitives, integrals, etc.)

Recommended prerequisites: