M011 Statistics I

Faculty of Informatics
Spring 2000
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
Teacher(s)
RNDr. Marie Budíková, Dr. (lecturer)
RNDr. Marie Forbelská, Ph.D. (seminar tutor)
Mgr. Pavel Ježek (seminar tutor)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Departments – Faculty of Science
Contact Person: RNDr. Marie Budíková, Dr.
Prerequisites (in Czech)
M000 Calculus I && M003 Linear Algebra and Geometry I && M008 Algebra I
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
  • Data files. Univariate and bivariate empirical characteristics and graphs.
  • Deterministics and stochastical experiment. Measurable space. Empirical law of large numbers and axiomatic definition of probability.
  • Construction of classical probability and of probability distributions using probability function and density.
  • Stochastic independence of events, conditional probability and Bayes' theorem.
  • Random variables and vectors. Probability distribution and distribution function.
  • Discrete and continuous random variables and vectors. Typical distribution laws. Simultaneous and marginal distributions.
  • Stochastic independence of random variables and vectors. The sequence of independent trials.
  • Quantiles, expectation, variance, covariance, correlation coeficient and their properties.
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
  • OSECKÝ, Pavel. Statistické vzorce a věty. 1. vyd. Brno: Masarykova univerzita, 1998, [29] list. ISBN 8021017589. info
  • BUDÍKOVÁ, Marie, Štěpán MIKOLÁŠ and Pavel OSECKÝ. Teorie pravděpodobnosti a matematická statistika : sbírka příkladů. 2. vyd. Brno: Masarykova univerzita v Brně, 1998, viii, 116. ISBN 8021018321. info
  • ANDĚL, Jiří. Statistické metody. 1. vyd. Praha: Matfyzpress, 1993, 246 s. info
Assessment methods (in Czech)
Výuka probíhá každý týden v rozsahu 2 hodiny přednášek, 2 hodiny cvičení. Nutnou podmínkou zápočtu je vypracování zápočtového příkladu. Zkouška písemná, obsahuje část testovou a část s příklady.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Spring 1996, Spring 1997, Spring 1998, Autumn 1998, Spring 1999, Spring 2001, Spring 2002.
  • Enrolment Statistics (Spring 2000, recent)
  • Permalink: https://is.muni.cz/course/fi/spring2000/M011