Training and Research

PhD Programme Courses/classes

Credits

2

Language

English

Class attendance

Free Choice

Location

VERONA

Learning objectives

The purpose of the module is to explain, at an elementary level, the conceptual basis of the classical (frequentist) approach to statistical inference. The topics will be illustrated and explained through many examples.
Students are expected to acquire the language and the concepts needed to better understand the inferential procedures required for their subjects.

Prerequisites and basic notions

There are not particular learning requirements. It is advisable that students have already been introduced (though at an elementary level) to probability and statistics. It is also advisable that students have some confidence with elementary set theory and mathematical calculus.

Program

- Revision of limit theorems: weak law of large numbers; central limit theorem.
- Random samples, sample statistics and sampling distributions; normal and Bernoulli populations; sample mean, sample variance and sample proportion.
- Point estimation: estimators, unbiasedness, efficiency, mean square error, consistency.
- Interval estimation: pivotal quantity; paradigmatic examples.
- Hypothesis testing: type I and type II errors; critical value; confidence level; power; test statistic; observed significance level, paradigmatic examples.

Bibliography

Visualizza la bibliografia con Leganto, strumento che il Sistema Bibliotecario mette a disposizione per recuperare i testi in programma d'esame in modo semplice e innovativo.

Didactic methods

Lessons will be delivered via Zoom. Recordings will also be available. Presence to the lessons is not mandatory.
The calendar of the lessons is the following:
22 February 2023, 14:00-18:00
24 February 2023, 14:00-18:00

Learning assessment procedures

The final assessment will be through a written paper.

Students with disabilities or specific learning disorders (SLD), who intend to request the adaptation of the exam, must follow the instructions given HERE