An alignment course for students who have been admitted to the Master's Degree in Statistical Sciences for the academic year 2024/25 and need to brush up on some basic probability topics has been organised.
The course lasts a total of 12 hours; it is scheduled to take place in a classroom in the week between 9 September and 13 September. The complete calendar of lectures is available on this webpage:
https://corsi.unibo.it/2cycle/StatisticalSciences/timetable?anno=1&curricula=A91-000
For such course there is no examination or award of credits.
Lectures can also be attended remotely; links to the Teams rooms for remote participation will be shared with the interested students.
Here are the main topics of this course:
- Conditional probability and Bayes' theorem
- Mean and variance: definition and properties
- Cebysev's inequality
- Discrete random variables and some remarkable cases: Bernoulli, binomial, Poisson
- Continuous random variables and some remarkable cases: exponential, normal (with exercises and use of the table with the cumulative distribution of the standard normal variable), Student's t, chi-square, Fisher’s F.
- Joint, marginal and conditional distributions
- Measures of linear dependence between random variables
- The multivariate normal distribution
- The law of large numbers and the central limit theorem
- Transformations of random variables
- Sampling and sample statistics