Adapted maths II : Probability theory and Statistics

Lecturer(s): Céline HARTWEG-HELBERT, Marie-Christophette BLANCHET
Course ⋅ 14 hTC ⋅ 16 h


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.


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


  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

Learning Outcomes

  • Doing some calculus with computers.
  • Simulations with MATLAB.
  • Be able to run numeric calculus to solve statistical inference problem.
  • Be able to construct and analyse a linear regression.


Final mark = 75% Knowledge + 25% Know-how (Knowledge N1 = 100% final exam and know-how N2 = 100% final exam).