Course: Mathematical statistics

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Course title Mathematical statistics
Course code KMA/MS
Organizational form of instruction Lecture + Lesson
Level of course unspecified
Year of study not specified
Semester Winter and summer
Number of ECTS credits 6
Language of instruction Czech
Status of course unspecified
Form of instruction Face-to-face
Work placements Course does not contain work placement
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • Picek Jan, prof. RNDr. CSc.
Course content
Point estimation, consistency and unbiasedness, maximum likelihood estimates. Confidence intervals for parameters of normal distribution. Robust and nonparametrical estimates. Testing statistical hypotheses. One-sample and two-sample tests. Analysis of variance. Nonparametrical tests. Hotelling tests. Basics of correlation analysis. Linear regression ? least square method. Tests in linear regression. Goodness of fit tests. Contingency tables, test for independence. Survey sampling.

Learning activities and teaching methods
Monological explanation (lecture, presentation,briefing)
  • Home preparation for classes - 20 hours per semester
  • Preparation for exam - 112 hours per semester
  • Class attendance - 56 hours per semester
Learning outcomes
Knowledge of advanced statistical methods and their understanding.
Knowledge and ability to apply advanced statistical methods
Prerequisites
Knowledge of differential and integral calculus and the fundamentals of mathematical statistics and probability.

Assessment methods and criteria
Oral exam, Written assignment

Requirements on credit: two tests of the subject matter. The date of each test will be announced in advance by teacher. It is necessary to get score at least 50% for each test. Requirements on exam: Knowledge of problem solving, concepts and basic ideas.
Recommended literature
  • ANDĚL, J. Statistické metody. Praha: . Matfyzpress, 2007.
  • Hebák, P., Hustopecký, J., Malá, I. Vícerozměrné statistické metody (2). Informatorium, Praha, 2005. ISBN 80-7333-036-9.
  • HENDL, J. Přehled statistických metod zpracování dat: Analýza a metaanalýza dat. Praha: Portál, 2012. ISBN 978-80-262-0200-4.


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