Overview
Lecturer
Adrian Ioan Căbulea
Seminar tutor
Pax Dorin Wainberg-Drăghiciu
Type of course
Compulsory
Language of instruction
English
Erasmus language
English
Domain
Computer Science
Field of study
Computer Science (in English)
Form of education
Full-time
Form of instruction
Class
Credit awarded by
Grade
Teaching methods
Lecture, conversation, exemplification.
Entry requirements
Linear Algebra
Aims
This course is designed to introduce students to various topics in probability and uncertainty that they will encounter in Computer Science theory. The concepts are illustrated with actual examples from the specialized literature.
Exercises are designed to encourage the student to begin thinking about probability within a theoretical context. Today, the theory of probability has found many applications in science and engineering.
In this course, the students will learn the basic terminology and concepts of probability theory and statistics.
Course contents
1. Field of events
2. Probability field
3. Rules for assigning and calculating probabilities
4. Classical probability distributions
5. Discret random variables
6. Continuous random variables
7. Numerical characteristics of random variables
8.The characteristic function. Moment generating function
9. The law of large numbers for random variables. Limit theorems
10. Statistical selection theory
11. Glivenko’s theorem. Kolmogorov’s theorem
12. Estimation theory
13. Confidence intervals
14. Statistical hypothesis testing
Learning outcomes
Modelling and solving some medium complexity level problems, using the mathematical and economics knoweledges.
Assessment
Written paper 50%; mid-term test 30%; seminar activities 20%.
Recommended reading
• Micula, S., Probability and Statistics for Computational Sciences, Cluj University Press, 2009
-
-, -, - · -
• Agratini, O., Blaga, P., Coman, Gh., Lectures on Wavelets, Numerical Methods and Statistics, Casa Cartii de Stiinta, Cluj-Napoca, 2005.
-
-, -, - · -
• Feller, W., An introduction to probability theory and its applications, Vol.I-II, John Wiley, New York, 1957, 1966.
-
-, -, - · -