Model the uncertainties

A product can have variable performance and behaviour during its lifespan, depending on the stresses it is subjected to or its characteristics. The lack of knowledge and the imprecision of experimental measurements motivate the modelling of product-related uncertainties. The MS course introduces the fundamental elements for modelling uncertainties and analysing product performance in all cases.


2-day course


  • Understand the reasons behind the probabilistic approach
  • Learn how to build a probabilistic model
  • Be able to critically examine the results of a statistical analysis



  • Basic knowledge of mathematics.
  • Good knowledge of Python.


  • R&D Engineer
  • Design Office Engineer
  • Operational Safety Engineer


Upcoming sessions

  • March 18-19, 2021
  • April 8-9, 2021
  • September 16-17, 2021
  • November 25-26, 2021


18/20 Boulevard Reuilly, 75012 PARIS – Métro Dugommier


Sylvain GIRARD


Why use randomness in modelling?

Fundamental concepts of statistics and probability

  • Random variable and probability law
  • Uniform and Gaussian Laws
  • Expectancy and variance
  • Distribution function and density

Couple of random variables, conditioning and regression

  • Interactions between random variables
  • Conditional probabilities
  • Predicting with data: the linear model

Create a model and decide on a sample

  • Model uncertainty using random variables
  • Infer parameters using a sample
  • Quantitatively test assumptions and make decisions

Exercises (paper – pencil or Python)


Application form

Do not hesitate to register or to ask for more information. Customized training can also be offered. The location of the training is subject to change. Most of our courses can be conducted online. Once you have sent your registration request, one of our trainers will contact you to specify your needs and adapt the training.


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    Phimeca Clermont-Ferrand

    Centre d’affaires du Zénith

    34 rue de Sarliève

    F-63800 Cournon-Auvergne

    Phone: +(0)33 4 73 28 93 66

    Phimeca Paris

    18/20 boulevard de Reuilly

    F-75012 Paris


    Phone: +(0)33 1 58 51 18 02

    Phimeca Annecy

    Pépinière Galileo

    178 route de Cran-Gevrier

    74650 Chavanod


    Phone: +(0)33 6 07 55 15 63

    Phimeca Lyon

    191 cours Lafayette

    69006 Lyon


    Phone: +(0)33 6 80 83 59 29