MU10133 Probability and Statistics

Mathematical Institute in Opava
Winter 2010
Extent and Intensity
2/0/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
Ing. Bc. Petr Harasim (lecturer)
Guaranteed by
Ing. Bc. Petr Harasim
Mathematical Institute in Opava
Prerequisites (in Czech)
MU10933 Probability and Statistics - E && MU10130 Mathematical Analysis II
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
Course objectives
Essential notions and principles of probability theory and mathematical statistic.
Syllabus
  • - random experiment, random event, statistical and classical definition of probability, conditional probability, independence, probability axioms
    - random variable, distribution function, discrete and continuous random variables, numerical characteristics, some important probability distributions
    - random vector, joint distribution function, numerical characteristics of random vectors, independent random variables, functions of random variables, special probability distributions
    - limit theorems
    - sample, point and interval estimations, statistical treatment of measured data
    - introduction to statistical hypothesis testing
Literature
    recommended literature
  • J. Anděl. Matematika náhody. Matfyzpress, Praha, 2000. ISBN 80-85863-52-9. info
  • J. Ramík, A. Wissgärber. Statistika A. Karviná, 1995. ISBN 80-85879-43-3. info
  • J. Anděl. Matematická statistika. Praha, 1987. info
  • J. Likeš, J. Machek. Matematická statistika. Praha, 1983. info
  • J. Likeš, J. Machek. Počet pravděpodobnosti. Praha, 1982. info
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
Requierements for pre-exam credits are defined by lecturer. In principle, students should be able to solve simple practical problems. The same is true for written exam. During the course of oral exam, essential theoretical attainments are required.
The course is also listed under the following terms Winter 1997, Winter 1998, Winter 1999, Winter 2000, Winter 2001, Winter 2002, Winter 2003, Winter 2004, Winter 2005, Winter 2006, Winter 2007, Winter 2008, Winter 2009, Winter 2011, Winter 2012, Winter 2013, Winter 2014, Winter 2015, Winter 2016, Winter 2017, Winter 2018, Winter 2019, Winter 2020, Winter 2021.
  • Enrolment Statistics (Winter 2010, recent)
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