Centrale Lyon training courses

Adapted maths II : Probability theory and Statistics

Goals

This first part of the course deals with the modelling with random variables. We introduce the notion of density. Some methods of probability calculus, approximations and asymptotic theorems are studied. A important part of the course is devoted to the numerical simulation with MATLAB. The second part of the course deals with statistics. The notions of estimators and tests are introduced. A chapter is devoted to linear regression.

Programme

  1. Random Variables ( Probability, density, distribution function)
  2. Mean, Variance 3 Random vectors
  3. Asymptotic theorems
  4. Estimators
  5. Estimators with confidence intervals
  6. Statistical tests
  7. Linear Regression

Sustainable development

Level 1: Activity contextualised through environmentally sustainable development and social responsibility and/or supported by examples, exercises, applications.

DD&RS level 1

Activity contextualised through environmentally sustainable development and social responsibility and/or supported by examples, exercises, applications.

Programme elements related to sustainable development goals

Probabilist modelization, Monte-Carlo method, Estimation and statistical test, linear regression

Course
14h
 
TC
14h
 

Responsibles

  • Céline HARTWEG-HELBERT
  • Marie-Christophette BLANCHET

Language

French

Keywords

Probability laws, Random variables with density, numerical simulations, estimators, parametric tests, linear regression.
General engineering