This course is addressed to students with a background in biology, and aims at enforcing the theoretical grounds in order to allow them to apprehend advanced statistics. The following concepts will be investigated :
- Numerical sequences and series (limits, convergence)
- Continuous laws of probabilities (normal, Student, chi2, Snedecor distribution).
- Introduction to the different notions of convergences in probabilities and Relationships between the different laws (convergence between laws).
- Law of large number and Central limit theorem