Introduction à la méthode statistique et probabiliste[Introduction to statistical and probabilistic method]

This manuscript provides an introduction to statistics and probability method. It is structured around three themes developed in five chapters. The first part is an introduction to probability calculations in which we introduce the notions of elementary probability, probabilized spaces, random variables, distribution et density functions. We also review the main probability laws that characterize the common phenomenas of observation. The second part is an introduction to statistical analytical approaches. In this part, we present, one hand, the descriptive and exploratory methods and on other hand the inferential methods. The notions discussed in this section are statistical distributions, links between variables, estimators and hypothesis testing. As for the third part, it provides an introduction to survey techniques centered on the study of sampling protocols and estimations methods for extrapolation.