M3400 Probability and Mathematical Statistics

Faculty of Science
Autumn 1999
Extent and Intensity
2/2/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Štěpán Mikoláš (lecturer)
RNDr. Štěpán Mikoláš (seminar tutor)
Guaranteed by
RNDr. Štěpán Mikoláš
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: RNDr. Štěpán Mikoláš
Prerequisites (in Czech)
M1421
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
Syllabus
  • Descriptive statistics. -- Sample space, field of events, probability space, independent events, conditional probability. -- Random variables and vectors, their distribution and characteristics, independent random variables, transformation of random variables. -- Law of large numbers, Linderberg-Lévy's central limit theorem, Moivre-Laplace's integral theorem. -- Normal random samples, point and interval estimations.
Literature
  • BUDÍKOVÁ, Marie, Štěpán MIKOLÁŠ and Pavel OSECKÝ. Popisná statistika (Descriptive Statistics). 3., doplněné vyd. Brno: Masarykova univerzita, 1998, 52 pp. ISBN 80-210-1831-3. info
  • BUDÍKOVÁ, Marie, Štěpán MIKOLÁŠ and Pavel OSECKÝ. Teorie pravděpodobnosti a matematická statistika. Sbírka příkladů. (Probability Theory and Mathematical Statistics. Collection of Tasks.). 2.,přepracované vyd. Brno: Masarykova univerzita Brno, 1998, 127 pp. ISBN 80-210-1832-1. info
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.

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