Download Probability Theory and Mathematical Statistics

Institution: Vilniaus kolegija/University of Applied Sciences
Study Programme: Software Engineering
Probability Theory and Mathematical Statistics
Aims
To master concepts, rules, laws, task solving algorithms, mathematical computer programs of
Probability Theory and Mathematical Statistics
Annotation
Probability Theory and Mathematical Statistics are branches of Mathematics which examine
patterns of random events. As many disciplines of Mathematics they deal with the methods for
designing and analyzing mathematical models of real phenomena. The subject Probability Theory
and Mathematical Statistics consists of two parts. First Probability Theory concepts and definitions
are presented then gained knowledge is applied in Statistics. Students are taught to collect data and
using statistical computer programs structure and interpret it.
Prerequisites
Secondary school Mathematics knowledge
Themes
1. Outcomes and events, general and geometric probability spaces, probability features.
2. Conditional probability, independent events, Bernoulli scheme, limit theorems.
3. Discrete and continuous random variables.
4. Mean and variance of random variables, correlation.
5. Law of large numbers, central limit theorem.
6. Descriptive statistics.
7. Confidence intervals tasks.
8. Hypothesis testing tasks.
Preparing and presenting a project work