Economics and Finance

ANDREA TANCREDI

Provide students with a basic knowledge of descriptive and inferential Statistics.

Students must be able to choose the right tools for basic statistical analysis and their main properties. Students must also be able to apply statistical instruments in different situations and explain correctly the achieved results.

Basic knowledge of mathemetics. Limits functions and derivatives.
Set theory

1)Introduction. Frequency distributions e their graphical representation: Cumulative distribution, distribution function and their graphical representation
2)Position and variability indexes. Arithmetic mean. Properties of the arithmetic mean. Median and quantiles. Geometric mean, armonic mean. Variance and other variability indexes. Concentration
3)Bivariate analysis. Dependence and independence for categorical variables. Regresion and correlation.
4) Probability
5) Inference

Cicchitelli, D'Urso, Minozzo. Statistica: principi e metodi. 3a edizione. Pearson editore.

The lessons will be held alternating the use of slides and the blackboard.
The proofs of the theorems and the solutions of the exercises will be carried out directly on the blackboard

Attendance is not compulsory but is strongly recommended.

The exam will comprise two parts (written and oral). During the written exam the students must solve both data analysis and statistical inference exercises.
The written test will be divided into two part. Multiple choice questions will be given in the first part. Exercises ranging from a minimum of 6 points to a maximum of 8 will be given in the second part. The oral examination will deal with the theoretical topics explained throughout the course.

Synthesis of univariate statistical distributions.
Calculation of the Gini index for concentration
Calculation of the coefficients of the regression line.
Calculation of statistical dependence indices (psi and chi-square)
Probability exercises.
Use of the Normal distribution tables
Calculation of confidence intervals for means and proportions