STATISTICS
cod. 00914

Academic year 2009/10
2° year of course - First semester
Professor
Academic discipline
Probabilità e statistica matematica (MAT/06)
Field
Cultura scientifica, umanistica, giuridica, economica, socio-politica
Type of training activity
Related/supplementary
45 hours
of face-to-face activities
5 credits
hub:
course unit
in - - -

Learning objectives

This course presents the basics of probability theory and teaches some standard statistical inference techniques that are commonly applied in management and production.

Prerequisites

Analisi AB

Course unit content

Elementary combinatorics.<br />
Probability spaces, conditioning, independence, total probabilities and Bayes formulae.<br />
Continuous and discrete random variables, distribution functions (cumulative, density, mass), joint distributions, transformations. Expected value, variance, median, mode. Min, max and sum of independent random variables.<br />
Common types of random variables (Bernoulli, binomial, Poisson, hypergeometric, uniform, exponential, Gaussian, chi-square, gamma and t).<br />
Convergence in probability, law of large numbers, central limit theorem, continuity correction.<br />
Populations, samples, descriptive statistics, estimators (bias and consistency), sample mean and sample variance.<br />
Parametric confidence intervals (gaussian, Bernoulli and exponential populations).<br />
Nonbayesian parametric tests, bi- and unilateral (same populations as above), tests for comparing two gaussian populations.

Full programme

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Bibliography

S. Ross - Probabilità e statistica per l'ingegneria e le scienze - Apogeo 2003.<br />
(the english version is ok too)

Teaching methods

The written exam is on problems, not theory. After that one can ask for an optional oral examination.

Assessment methods and criteria

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Other information

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