STATISTICS

Single discipline educational activity

Course Sheet

Academic Year of enrolment:

2018/2019

Type of Course:

Characterising

Optional/Mandatory:

Compulsory

Degree:

Master's Degree Programme in LAND AND ENVIRONMENT MANAGEMENT

Disciplinary Sector:

Statistics

Language:

Italian

Credits:

Programme Year:

Professor and Collaborators:

DELPINI Danilo

Hours of classroom activity:

Prerequisites:

Core elements of Mathematics

AF code:

40000238

Assessment Methods

Verification of learning:

The exam will be in writing in the form of long essay questions concerning the topics of probability and statistics introduced during the course.

Teaching period

First semester

Objectives

Students will learn:
- the basic principles and main results of probability for univariate and multivariate random variables and how to apply them to simple probability problems;
- how to summarize a sample by means of histograms and summary statistics;
- how to perform point estimates of parameters from a sample and how to derive corresponding confidence intervals;
- how to perform hypothesis testing in a parametric approach;
- the principles that underlie maximum likelihood and least square parameter estimation and the general properties of the corresponding statistical estimators;
- how to model a stochastic phenomenon by means of a bivariate/multivariate regression model and how to estimate its parameters.

Contents

- Probability of univariate random variables;
- Multivariate probability;
- Statistical dependence, correlation and cause-effect relationship;
- Descriptive statistics;
- Statistical estimators, main properties and sample distribution of estimators;
- Parameter estimation: point estimates and confidence intervals for large and small samples;
- Parametric hypothesis testing;
- Maximum likelihood estimation;
- Least squares estimation;
- Bivariate and multivariate linear regression.

Recommended Bibliography

"Probabilità, statistica e simulazione" by A. Rotondi, P. Pedroni, A. Pievatolo
Springer (2001 or later editions).

Methods of Provision

Conventional

Teaching Methods

Academic lectures and exercises in the classroom.

Contacts/More Information

Attending students can take the exam by studying only the lecture notes of the teacher. Non-attending students are also advised to study the textbook of Guerraggio. The parts of the textbook to be studied are indicated in the course presentation file, available on Moodle.
Availability to provide a tutoring service and additional explanations in the classroom, in Italian and English, with special attention for students with disabilities.
Availability of providing teaching material and bibliographic references also in English.
Availability to provide the exams text in English.

Office hours are posted on www.edisea.uniss.it.
Contacts:
- Danilo Delpini email: ddelpini@uniss.it phone: 079/213019

STATISTICS

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STATISTICS