Statistics for engineers

Objectives
Refresher course on:

Descriptive statistics
Probability
Inferential statistics

Skills acquired

Master the basics of statistics and probability for engineering sciences.

The prerequisites for this module are the integration of a function of one real variable and notions of series and optimization.

Part 1: Probability calculus

Chapter 1: Reminders of the axiomatic foundations of probability
Chapter 2: Discrete and continuous random variables
Chapter 3: Pairs of random variables
Chapter 4: Some common probability laws (discrete and continuous)
Chapter 5: Two "asymptotic" theorems (law of large numbers, central limit theorem)

Part 2: Descriptive statistics

Chapter 1: General introduction to statistics
Chapter 2: Introduction to statistical series
Chapter 3: Some graphical representations
Chapter 4: Some numerical summaries of one-dimensional statistical series
Chapter 5: Study of two-dimensional statistical series

Part 3: Introduction to inferential statistics

Chapter 1: Notion of statistical model and estimator
Chapter 2: Confidence interval estimation
Chapter 3: Some hypothesis tests
Use of R software to illustrate the concepts of descriptive statistics and inferential statistics.

Digital maintenance