Course: Theory of Probability and Statistics

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Course title Theory of Probability and Statistics
Course code KID/PXPSE
Organizational form of instruction Lecture + Tutorial
Level of course unspecified
Year of study not specified
Semester Winter and summer
Number of ECTS credits 5
Language of instruction English
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • Jahodová Berková Andrea, Mgr. Ph.D.
Course content
Combinatorics. Random event and its probability. Conditional probability, independence of . 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. Essential methods of time series analysis.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Methods of individual activities, Projection
Learning outcomes
The main goal of the course is to familiarize 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 economic practice.
Knowledge of basic concepts of probability theory, ability to use essential methods of mathematical statistics, ability to use statistical functions of calculator and MS Excel.
Prerequisites
Knowledge of high school mathematics and knowledge gained in the Mathematics I course.

Assessment methods and criteria
Oral examination, Written examination

Conditions for awarding course credit are: 1 examination paper - student is successful if he/she obtains 50% of possible points, 1 seminar paper. Form, contents and length of the exam are determined in accordance with the Study and Examination Regulations of University of Pardubice. The exam consists of two parts, a written test and a theoretical oral exam. Student passes the exam if he/she obtains at minimum 50% of the possible number of points in each part.
Recommended literature
  • Arltová, M. Sbírka příkladů ze statistiky (A). Praha: VŠE, 1997.
  • Cyhelský, L., Hustopecký, J., Závodský, P.. Příklady k základům statistiky. Praha: SNTL, 1988. ISBN 04-317-88.
  • Cyhelský, Lubomír. Elementární statistická analýza. Praha: Management Press, 1996. ISBN 80-85943-18-2.
  • Hindls, R., Kaňoková, J., Novák, I. Statistické metody Statistika B. Praha: VŠE, 1996.
  • Kolda, S. Úvod do počtu pravděpodobnosti a matematické statistiky. Univerzita Pardubice, 1998.
  • Kožíšek, J. Statistické tabulky a jejich použití. Praha: ČVUT, 1996.
  • Montgomery, D. C., Runger G. C. Applied Statistics and Probability for Engineers. John Willey & Sons, 2007. ISBN 0-471-74589-8.
  • Potocký, R. Zbierka úloh z pravděpodobnosti a matematickej štatistiky. Bratislava: Alfa, 1986. ISBN 63-570-86.
  • Souček, E. Základy statistiky. Pardubice: Univerzita Pardubice, 2000.
  • Spiegel, M. R., Schiller, J. J., Srinivasan, R. Propability and Statistics. McGraw-Hill, 2000. ISBN 0-07-135004-7.
  • Voelker, D., Orton, P., Adams, S. Statistics. Wiley Publishing, 2001. ISBN 0-7645-6388-2.


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