PROBABILITY AND STATISTICS
- Overview
- Assessment methods
- Learning objectives
- Contents
- Full programme
- Bibliography
- Teaching methods
- Contacts/Info
High School mathematics and first year calculus.
Written exam, about 2-3 hour long, 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.
As far as knowledge development, the goal is learning the fundamentals of probability and elements of descriptive statistics and parameter estimate, to be able to perform a basic analysis experimental data. In terms of skills, the target is the development of a "problem solving" attitude, where the focus is on data driven quantitative analysis.
- 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
The extended program has been detailed in the "content" section.
- 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
Professors
Borrowers
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Degree course in: COMPUTER SCIENCE