NAVIDI, William
Probabilità e statistica per l'ingegneria e le scienze
McGraw-Hill 2006
Montgomery et al. Statistica per ingegneria, Egea 2004
Learning Objectives
Acquisition of the main statistical methods with specific reference to their usefulness in solving problems applied to engineering
Prerequisites
The basic elements of the "Calculation" for one and more variables (Analysis 1 and 2) and linear algebra (geometry)
Teaching Methods
Lectures and classroom exercises
Further information
'this course is in the platform moodle University where will be inserted including any supplementary material
Type of Assessment
Written examination of applications
Course program
A. Descriptive Statistics
1. Populations and samples. Data
2. Summary of numerical data: average, median, mode; standard deviation, interquartile range; skewness, kurtosis.
2. Graphical representations: histograms, frequency polygons, exploratory data analysis. Stem-and-leaf plots, box plots-mustache (box plot)).
B. Fundamentals of Probability
1. The logic uncertain. Events, Probability, Events dependent and independent, counting techniques.
2. Probability distributions, moments. Probabilistic models:
Discrete: Binomial, hypergeometric, geometric, negative binomial, Poisson:
Continue: normal, log-normal (Gamma, Beta, Weibull).
C. Statistical inference
1. Point and interval estimation of parameters comparisons between different samples.
2. Hypothesis testing. Fit testing [nods].
3. Analysis of correlation.
4. Simple linear regression: least squares parameter estimation and model verification.