Ukončeno v akademickém roce 2023/2024
Probability
| Type of study | Bachelor |
|---|---|
| Language of instruction | English |
| Code | 470-2405/02 |
| Abbreviation | PRA |
| Course title | Probability |
| Credits | 7 |
| Coordinating department | Department of Applied Mathematics |
| Course coordinator | Ing. Jan Kracík, Ph.D. |
Osnova předmětu
Lectures:
Probability space
Conditional probability, independent random events, law of total probability, Bayes' theorem
Conditional independence of random events
Random variable, probability distribution, numerical characteristics
Selected discrete distributions
Selected continuous distributions
Multivariate random variable, probability distribution, numerical characteristics
Independece of random variables, conditional independence
Multivariate normal distribution
Convergence of random variables
Limit theorems
Transformations of random variables, sum of random variables, sampling
Excercises will follow the content of the lectures. During the excercises students will learn basics of R language.
Probability space
Conditional probability, independent random events, law of total probability, Bayes' theorem
Conditional independence of random events
Random variable, probability distribution, numerical characteristics
Selected discrete distributions
Selected continuous distributions
Multivariate random variable, probability distribution, numerical characteristics
Independece of random variables, conditional independence
Multivariate normal distribution
Convergence of random variables
Limit theorems
Transformations of random variables, sum of random variables, sampling
Excercises will follow the content of the lectures. During the excercises students will learn basics of R language.
Povinná literatura
Doporučená literatura
TEETOR, Paul. R cookbook. Sebastopol, CA: O'Reilly, 2011. ISBN 9780596809157