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