MU:MU11160 Applied Statistics - Course Information
MU11160 Applied Statistics
Mathematical Institute in OpavaWinter 2013
- Extent and Intensity
- 2/1/0. 3 credit(s). Type of Completion: z (credit).
- Teacher(s)
- doc. RNDr. Tomáš Kopf, Ph.D. (lecturer)
RNDr. Petr Vojčák, Ph.D. (seminar tutor) - Guaranteed by
- doc. RNDr. Tomáš Kopf, Ph.D.
Mathematical Institute in Opava - Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Applied Mathematics (programme MU, B1101)
- Applied Mathematics in Risk Management (programme MU, B1101)
- Mathematical Methods in Economics (programme MU, B1101)
- Mathematics (programme MU, B1101)
- Course objectives
- The goal of the lectures and exercises of the course Applied Statistics is the introduction into Bayesian statistics and into its practical methods.
- Syllabus
- 1. Randomness and probability.
2. Probability and measure theory.
3. Probability distributions.
4. Random number generators.
5. Markov chains.
6. Metropolis-Hastings algorithm.
7. Statistical models and their updating. Confidence regions.
8. The Bayes formula. Bayesian networks.
9. Bayesian decision theory. Loss function, utility. Classical loss functions.
10. Monte Carlo and MCMC
- 1. Randomness and probability.
- Literature
- recommended literature
- Christian P. Robert. The Bayesian choice: From decision-theoretic foundations to computational implementation. New York, 2007. info
- Christian P. Robert and George Casella. Monte Carlo statistical methods. New York, 2004. info
- R. Hindls, S. Hronová, I. Novák. Metody statistické analýzy pro ekonomy. Praha, 2000. info
- J.Ramík, Š. Čemerková. Statistika B. OPF SU, Karviná, 2000. info
- J. Anděl. Statistické metody. Matfyzpress, 1993. info
- J. Seger, R. Hindls. Statistické metody v ekonomii. H&H, 1993. info
- L. Cyhelský. Úvod do teorie popisné statistiky. Praha, 1974. info
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course can also be completed outside the examination period.
- Enrolment Statistics (Winter 2013, recent)
- Permalink: https://is.slu.cz/course/sumu/winter2013/MU11160