Course: Theory of Probability and Mathematical Statistics

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Course title Theory of Probability and Mathematical Statistics
Course code KID/YATPS
Organizational form of instruction Lecture
Level of course Bachelor
Year of study 2
Semester Summer
Number of ECTS credits 6
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Slavíček Ondřej, Mgr. Ph.D.
Course content
Combinatorics. Random event. Definitions of probability, Bayes theorem. Random variable. Characteristics of random variable. Some important theoretical probability distributions. Limits theorems. Population and random sample, methods of descriptive statistics. Estimation theory. Testing hypotheses. Nonparametric methods. Linear regression. Correlation.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Methods of individual activities, Projection
  • Contact teaching - 16 hours per semester
  • Home preparation for classes - 16 hours per semester
  • Preparation for an exam - 148 hours per semester
Learning outcomes
The main goal of discipline is to familiarise students with the basic ideas of theory of probability necessary for explication of statistical methods and to present fundamental statistical methods used for data processing in technical and economical practice.
Knowledge of basics concepts of probability theory, ability to use essentials methods of mathematical statistics, ability to use statistical function of MS Excel.
Prerequisites
highschool mathematics, Mathematics I

Assessment methods and criteria
Written examination

Conditions for credit are: 1 examination paper - student is successful if he/she obtains 50% of possible points. Form, contents and length of the exam are determined in accordance with Study and Examining Rules of University of Pardubice. The exam consists of two parts, 10 theoretical questions and 5 examples. Student passes successfully the written test if he/she obtains at minimum 50 points from maximum 100 points and at the same time at least 8 point from theoretical part of exam.
Recommended literature
  • BREBERA, D., JINDROVÁ, P., SEINEROVÁ, K., SLAVÍČEK, O., ZAPLETAL, D. Sbírka příkladů ze statistiky (cvičebnice na CD). 1. vydání. Pardubice: Univerzita Pardubice, 2014. ISBN 978-80-7395-854-1.
  • Hindls, Richard. Statistika pro ekonomy. Praha: Professional Publishing, 2004. ISBN 80-86419-59-2.
  • Neubauer, Jiří. Základy statistiky. Praha: Grada, 2016. ISBN 978-80-247-5786-5.
  • Pacáková, Viera. Štatistická indukcia pre ekonómov a manažérov. Bratislava: Wolters Kluwer, 2015. ISBN 978-80-8168-081-6.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester