##### 6316 - Probability Theory and Statistics

Course information

- Title
- Probability Theory and Statistics
- Course number
- 6316.22
- Academic year
- 2022-2023
- ECTS
- 10.00
- Level
- Master
- Faculties
- History and Social Sciences
- Educations
- MSSc in Politics and Administration, MSSc in Social Sciences, M.A. in History
- Prerequisites
- Pass grade in Mathematics B at the upper secondary level. Skills and knowledge from or equivalent to those taught in the courses Mathematics 1 and Mathematics 2 is an advantage.
- Language of instruction
- The course is taught in Faroese. The textbook is in English and other instructional materials are in Faroese, English and Scandinavian languages. Lectures, assignments etc. are in Faroese.
- Registration
- Students on the second semester of Master in Politics and Administration, Master in Social Sciences, Master in History and applicants for an individual course must apply via the Faculty of History and Social Sciences Office.
- Beginning date
- Wednesday, February 1, 2023
- End date
- Thursday, June 1, 2023

Academic content

- Purpose
- The aim of the course is to provide students with the basic ideas of probability and statistics required for the study of economics.
- Learning outcomes
- Having successfully completed the course, the student will be able to describe and implement the following: • Tools used in descriptive statistics • Law of Large Numbers and Central Limit Theorem • Statistical concepts - including: o Joint, marginal and conditional probability o Stochastic variables and transformations of stochastic variables o Distributions o Probability function o Density function o Independent variables o Mean and conditional mean o Variance and covariance • Selected probability distributions, including: o Bernoulli, Binomial, Poisson, Multinomial, geometric, uniform, normal, chi2, and exponential distributions. • Important statistical concepts, including: o Independent, identically distributed variables o Consistency and asymptotic normality o Confidence intervals and hypothesis tests
- Content
- The first part of the course is an introduction to probability theory. The topics include probability, stochastic variables, probability distributions and transformations of stochastic variables. The students learn how to describe stochastic variables by their distributions. The students see examples of various probability distributions (discrete and continuous), and how one can describe these distributions with measures such as mean and variance. The second part of the course is an introduction to statistical analysis of data and inference. This includes choice of model to fit the data, estimating parameters in the model, testing hypotheses and drawing conclusions about the model assumptions.
- Learning and teaching approaches
- New material is presented in lectures and classes. In classes, students solve and present exercises.

Assessment

- Assessment method
- A weighted mark which consists of the following: (i) a written assignment (50%); and (ii) a three-hour written exam (50%). Students may use textbooks, notes and data programs during the exam. They may not use the internet. Students are required to pass a minimum of two assignments in order to attend the exam.
- Examination (internal/external)
- External
- Grading scale
- 7-scale
- Exam date/dates
- The written home assignment is due for submission on 8 May 2023 and the written exam is set for 12 June 2023.
- Deadline for withdrawal from exam
- Wednesday, February 15, 2023

Academic responsibility and teachers

- Academic responsibility
- Herit Vivi Bentsdóttir Albinus
- Teachers
- Heri Joensen