( english version )
Statistics ( 5 CFU )
Prof. Francesco Morandin
     Tel. 0521 90 6911 - Fax. 0521 90 6950           E-mail. francesco.morandin@unipr.it

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

Programma
Probability spaces, conditioning, independence, total probabilities and Bayes formulae.
Continuous and discrete random variables, distribution functions (cumulative, density, mass), joint distributions, linear and nonlinear transformations. Expected value, variance. Sum, min and max of i.i.d. random variables.
Common types of random variables (Bernoulli, binomial, Poisson, hypergeometric, uniform, exponential, Gaussian, chi-square, gamma, t-Student and Fisher).
Convergence in probability, Law of Large Numbers, Central Limit Theorem, continuity correction.
Populations and samples, descriptive statistics, estimators (bias and consistency), sample mean and sample variance.
Parametric confidence intervals (Gaussian, Bernoulli and exponential populations).
Nonbayesian parametric tests, bi- and unilateral (same populations as above), tests for comparing two populations parameters (Gaussian and Bernoulli).


Modalità d'esame
Written test (on exercises only). One can ask for an optional oral examination (on both exercises and theory).

Propedeuticità
Analisi AB.

Testi consigliati
S. Ross - Probabilitą e statistica per l'ingegneria e le scienze - Apogeo. (Also available in English.)

 
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