- Docente: Michele Costa
- Credits: 9
- SSD: STAT-01/A
- Language: Italian
- Teaching Mode: In-person learning (entirely or partially)
- Campus: Bologna
- Corso: First cycle degree programme (L) in Economics, Markets and Institutions (cod. 6644)
Course contents
1. Descriptive statistics
Absolute, relative and cumulative frequencies. Density and histogram for classified variables. Cumulative distribution functions.
Mode, arithmetic mean, median and quantiles.
Standard deviation and variance. Skewness and kurtosis indexes.
Bivariate descriptive analysis. Statistical association. Covariance and correlation coefficient. Linear dependence and independence. The simple linear regression model.
2. Introduction to probability
Random experiment and space of events. Operations with events. Conditional probability and independence of events.
Law of total probability. Bayes' Theorem. Central limit theorem.
Random variables and probability distribution of discrete random variables and density function of absolutely continuous random variables. Expectation and variance.
Some distributions: binomial, Normal, Chi-Squared, t-Student, Fisher.
3. Inferential statistics
Sample statistics, estimators and their probability distributions. Properties of estimators.
The sample mean. The sample variance.
Point estimate for the mean (in case of known and unknown variance)
Hypothesis tests for the linear model.
Office hours
See the website of Michele Costa