Course: Mathematical Statistics II

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Course title Mathematical Statistics II
Course code KMA/PGSS2
Organizational form of instruction Lecture
Level of course Doctoral
Year of study not specified
Semester Winter and summer
Number of ECTS credits 15
Language of instruction Czech, English
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Fišerová Eva, doc. RNDr. Ph.D.
Course content
1. Hypotheses testing, exponential family of densities 2. Hypotheses testing - asymptotical tests 3. Linear model 4. Analysis of variance 5. Nonparametric methods - one-sample and two-sample tests 6. Nonparametric methods - one-way ANOVA, Spearman correlation coefficient 7. Goodness-of-fit tests 8. Contingency tables - independence tests 9. Contingency tables - test of symetry, Stuart test, logarithmic-linear models 10. Bayesian methods 11. Multivariate statistical analysis 12. Applications of mathematical statistics

Learning activities and teaching methods
Dialogic Lecture (Discussion, Dialog, Brainstorming), Work with Text (with Book, Textbook)
Learning outcomes
Master tools of multivariate statistical methods.
Knowledge To know basic procedures of univariate and multivariate statistical methods.
Prerequisites
Master's degree in mathematics.

Assessment methods and criteria
Oral exam

Exam: to know and to understand the subject
Recommended literature
  • C. R. Rao. (1978). Lineární metody statistické indukce a jejich aplikace. Praha, Academia.
  • J. Anděl. (1978). Matematická statistika. SNTL/ALPHA, Praha.
  • J. Anděl. (2005). Základy matematické statistiky. Praha.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester