Course: Statistics and probability

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Course title Statistics and probability
Course code KMA/XSTP
Organizational form of instruction no contact
Level of course Doctoral
Year of study not specified
Semester Winter and summer
Number of ECTS credits 10
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
  • Tlustý Pavel, prof. RNDr. CSc.
Course content
Discrete Probability Space Card Shuffling Paradoxes Generating Functions Parameter estimation Confidence intervals

Learning activities and teaching methods
Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book)
Learning outcomes
The subject is a continuation of the course of probability and mathematical statistics. It substantially extends content of this course. The course is focused on construction and investigation of probability spaces. It introduces a student into the base of the theory of estimation and the basic principles of testing of statistical hypotheses. It is oriented on random samples from the random division.
A graduate will be able to construct probability models and to use selected statistical methods.
Prerequisites
unspecified

Assessment methods and criteria
Oral examination, Written examination

Everything in the content of the course.
Recommended literature
  • Anděl, J.:. Matematika náhody. MATFYZPRESS - vydavatelství Matematicko-fyzikální fakulty Univerzity Karlovy, Praha, 2000.
  • Anděl, J.:. Statistické metody. MATFYZPRESS - vydavatelství Matematicko-fyzikální fakulty Univerzity Karlovy, Praha, 1993.
  • D. Freedman et al.:. Statistics. W. W. Norton & Comp., New York, 1991.
  • Karr, A. F.:. Probability. Springer, 1992.
  • Montgomery, D. C., Renger, G.:. Probability and Statistics. New York, John Wiley & Sons, 1996.
  • Plocki, A., Tlustý, P.:. Pravděpodobnost a statistika pro začátečníky a mírně pokročilé. Praha, Prometheus, 2007.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): Theory of Mathematics Education (1) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: -
Faculty: Faculty of Education Study plan (Version): Theory of Mathematics Education (1) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: -