PROBABILITY AND STATISTICS
- Overview
- Assessment methods
- Learning objectives
- Contents
- Bibliography
- Teaching methods
- Contacts/Info
High School mathematics and first year calculus.
Written exam, based on solving a series of problems. Oral exam, where the proposed solutions in the written exam will be discussed. This will be complemented by an in-depth discussion on a specific topic in accordance with the professor in charge.
Fundamentals of probability and elements of descriptive statistics and parameter estimate, to be able to perform a basic analysis experimental data. Development of a "problem solving" attitude.
- deterministic, stochastic and "uncertain" observables
- errors and their measurement
- Combinatorial calculus & Elements of probability
• Frequentist definition of probability
• Conditional probability, correlation
• Distributions, permutations and all that
• Bayes’ theorem
• Probability distribution function
• Moment generating function
- Descriptive statistics
• Mean, median, moda
• Variance and standard deviation
• Weighted mean
• Error propagation
- Bernoulli, Poisson, Gauss probability distribution functions
- Central limit theorem
- Parameter estimate, optimal fit
• Maximum likelihood
• Chi squared
mimimization
- John Taylor, An Introduction to Error Analysis: The Study of Uncertainties in Physical Measurements
- Pasquale Erto, Probabilità e statistica per le scienze e l'ingegneria, McGraw-Hill
- E. Piazza, Probabilità e Statistica, Esculapio Editore
lectures & problem solving sessions
NA