Course: Theory of Probability and Mathematic Statistics

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Course title Theory of Probability and Mathematic Statistics
Course code KID/PPSTP
Organizational form of instruction Lecture + Tutorial
Level of course Bachelor
Year of study 2
Semester Summer
Number of ECTS credits 5
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)
  • Půlpán Zdeněk, prof. PhDr. RNDr. CSc.
  • Jahodová Berková Andrea, Mgr. Ph.D.
Course content
Combinatorics. Random event and his probability. Conditional probability, independence of events. 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, Skills training
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 calcilator and MS Excel.
Prerequisites
highschool mathematics, Mathematics I

Assessment methods and criteria
Oral examination, Written examination

Conditions for credit are: 1 examination paper - student is successful if he/she obtains 50% of possible points, 1 seminary work. 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, a written test and a theoretical exam. Student passes successfully the written test as well as the theoretical part of exam if he/she obtains at minimum 50% of possible points in each part.
Recommended literature
  • Anděl, J. Matematická statistika. SNTL&ALFA, Praha, 1978.
  • Arltová, M. Sbírka příkladů ze statistiky (A). Praha: VŠE, 1997.
  • Cassella, G. Berger, R. L. Statistical inference Duxbury. ISBN 0-534-24312-6.
  • Cyhelský, L., Hustopecký, J., Závodský, P.. Příklady k základům statistiky. Praha: SNTL, 1988. ISBN 04-317-88.
  • Cyhelský, L. Teorie statistiky I. Praha: SNTL, 1990.
  • 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.
  • Horálek, Vratislav. Základní statistické výpočty s podporou Microsoft Excel. Praha: Česká společnost pro jakost, 2001. ISBN 80-02-01427-8.
  • Kolda, S. Úvod do počtu pravděpodobnosti a matematické statistiky. Univerzita Pardubice, 1998.
  • Kožíšek, J. Statistické tabulky a jejich použití. Praha: ČVUT, 1996.
  • Potocký, R. Zbierka úloh z pravděpodobnosti a matematickej štatistiky. Bratislava: Alfa, 1986. ISBN 63-570-86.
  • Souček, E. Základy statistiky. Pardubice: Univerzita Pardubice, 2000.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Structures (2014) Category: Construction industry, geodesy and cartography 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Means: Rail Vehicles (2013) Category: Transportation and communications 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Electrical Engineering and Electronic Systems in Transport (2014) Category: Transportation and communications 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Means: Rail Vehicles (2014) Category: Transportation and communications 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Means: Environmental Protection in Transport (2013) Category: Transportation and communications 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Electrical Engineering and Electronic Systems in Transport (2013) Category: Transportation and communications 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Structures (2016) Category: Construction industry, geodesy and cartography 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Structures (2013) Category: Construction industry, geodesy and cartography 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Means: Road Vehicles (2013) Category: Transportation and communications 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Means: Road Vehicles (2014) Category: Transportation and communications 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Means: Environmental Protection in Transport (2014) Category: Transportation and communications 2 Recommended year of study:2, Recommended semester: Summer