Title
Probabilità e Statistica
Statistics and Probability
mutua da Statistica e Calcolo delle
Probabilità
Degree
Corso di Laurea in Ingegneria Elettronica
(DM 270/04)
Corso di Laurea in Ingegneria Gestionale (DM
270/04)
Teacher: Ruggero Bellio
Year
2
Teaching
Period
1
Credits
6
Academic year: 2014/2015
Objectives:
The course will provide the basic elements of probability theory and statistics. Some techniques useful for engineering will be
provided.
Acquired skills:
- Knowledge of basic statistics
- Knowledge of basic probability
- Ability of solving probabilistic problems
- Knowledge of basic statistical modelling
- Ability of solving basic statistical problems
Lectures and exercises
Topics
Hours
Specific contents
Descriptive statistics
Introduction; Summary statistics; Graphical summaries; Measures of
association and correlation.
7
Basic probability
Fundamental elements; Conditional probability and independence;
Reliability models.
12
Random variables
Random variables; Functions of random variables; Jointly distributed
random variables.
17
Propagation of error
Measurement error; Linear combinations of measurements; Uncertainty for
functions of measurements.
3
Commonly used probability
distributions
Bernoulli; Binomial and related distributions; Poisson; Normal and
lognormal; Exponential; Gamma and Weibull.
17
Sequences of random variables and Law of large numbers; Moment generating function and central limit
limit theorems
theorem.
4
Total hours for lectures and exercises
60
Type of exam: Written and oral
References:
- W. Navidi: Probabilità e statistica per l'ingegneria e le scienze; McGraw-Hill (Milano) 2006 (Main text).
- S.M. Ross: Probabilità e statistica per l'ingegneria e le scienze (seconda edizione); Ed. Apogeo (Milano) 2008
(Supplementary text)
Additional material and information available at the course web page.
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