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OS2VS - Probability and Statistics

Course specification
Course title Probability and Statistics
Acronym OS2VS
Study programme Electrical Engineering and Computing
Module Signals and Systems
Type of study bachelor academic studies
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
ESPB 6.0 Status elective
Condition Passed exams in Mathematics 1 and Mathematics 2
The goal - Understanding applications of methods of Probability and Statistics in solving problems from real world, in particular in Automatic Control science. - Enabling students to solve various real world problems, applying the metods of Probability and Statistics, determining the correct mathematical model, and performing related parameter estimation and testing hypotheses
The outcome A student will be familiar with basic and moderately complex discrete and continuous stochastic models in the field of sygnals and systems. He/she will be able to apply correct models in real life problems, and to apply tools and methods of statistics and probability.
Contents
Contents of lectures Introduction and combinatorics. Conditional probability. Random variables. Numerical characteristics. Random vectors. Characteristic functions. Limit theorems. Parameter estimation. Hypotheses testing. Conditional distributions. Linear regression. Monte Carlo methods.
Contents of exercises Exercises with example and problem solving.
Literature
  1. Milan Merkle: Probability and Statistics for engineers and students of engineering, Academic Mind, Belgrade 2010
Number of hours per week during the semester/trimester/year
Lectures Exercises OTC Study and Research Other classes
2 2 1
Methods of teaching 30 hours of theoretical lecturing, 30 hours of exercises, 15 hours of discussion related to homework.
Knowledge score (maximum points 100)
Pre obligations Points Final exam Points
Activites during lectures 0 Test paper 50
Practical lessons 0 Oral examination 0
Projects 0
Colloquia 30
Seminars 20