MU:MU01933 Probability and Stat. - Exe

MU01933 Probability and Statistics - Exercises

Mathematical Institute in Opava
Winter 2021

Extent and Intensity

0/2/0. 2 credit(s). Type of Completion: z (credit).

Teacher(s)

doc. Ing. Petr Seďa, Ph.D. (seminar tutor)

Guaranteed by

RNDr. Oldřich Stolín, Ph.D.
Mathematical Institute in Opava

Timetable of Seminar Groups

MU01933/01: Thu 10:35–12:10 R1, P. Seďa

Prerequisites (in Czech)

TYP_STUDIA(B)

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

To illustrate essential notions and principles of probability theory and mathematical statistic by means of simple practical examples.

Syllabus

- combinatorics, probability in finite spaces, conditional probability, independence, Bernoulli's scheme, probability axioms
- random variable, distribution function, discrete and continuous random variables, numerical characteristics
- random vector, numerical characteristics of random vectors, independent random variables, functions of random variables
- point and interval estimations, statistical treatment of measured data
- statistical hypothesis testing

Literature

recommended literature

J. Ramík, A. Wissgärber. Statistika A. Karviná, 1995. ISBN 80-85879-43-3. info
D. Freedman et al. Statistics. W. W. Norton & Comp., New York, 1991. info
Z. Riečanová a kol. Numerické metody a matematická štatistika. Alfa, Bratislava, 1987. ISBN 063-559-87. info
B. Riečan et al. Pravdepodobnosti a štatistiky. Alfa, Bratislava, 1984. info
J. Likeš, J. Machek. Matematická statistika. Praha, 1983. info
J. Likeš, J. Machek. Počet pravděpodobnosti. Praha, 1982. info
W. Feller. An Introduction to Probability Theory and Its Applications. Vol. 1. J. Wiley & Sons, New York, 1968. info

Language of instruction

Czech

Further comments (probably available only in Czech)

Study Materials
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.