2288 - Probability Theory and Statistics
Course information
Title
Probability Theory and Statistics
Course number
2288.22
Academic year
2023-2024
ECTS
7.50
Level
Bachelor
Faculties
History and Social Sciences, Science and Tecnology
Educations
BSc in Economics and Management, BSc in Engineering, BSc in Software Engineering
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 Bachelor of Science in Economics and Business Administration and BSc in Engineering are automatically enrolled. Applicants for an individual course or optional subject 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
3 hour written exam. 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 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
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