Course: Mathematical Statistics I

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Course title Mathematical Statistics I
Course code KMA/PGSS1
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. Basic relations between probability theory and measure theory 2. Theorems about matrices 3. Random variables 4. Random vectors 5. Densities 6. Normal distribution 7. Regression 8. Correlation 9. Limit theorems 10. Estimation theory - consistent estimates and regular systems of densities 11. Estimation theory - sufficient and anciliary statistics 12. Estimation theory - maximal likelihood method

Learning activities and teaching methods
Dialogic Lecture (Discussion, Dialog, Brainstorming), Work with Text (with Book, Textbook)
Learning outcomes
Master procedures of linear statistical methods together with necessary basic facts of probability theory.
Knowledge To know basic procedures of linear statistical methods together with necessary basic facts of probability theory.
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