B_ZStM Fundamentals of Statistical Methods

University of Finance and Administration
Summer 2013
Extent and Intensity
1/1. 3 credit(s). Type of Completion: z (credit).
Guaranteed by
doc. Ing. Diana Bílková, Dr.
Department of Computer Science and Mathematics – Departments – University of Finance and Administration
Contact Person: Dagmar Medová, DiS.
Prerequisites
There are no prerequisites for this course
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
After completing the course the student will be able to use basic terms of descriptive statistics. He will understand the problems of statistical surveys and will be able to process data on nominal variables, too. He will know the differences between simple and interval frequency distribution and he will also recognizes, in which case the simple frequency distribution is uśed for representation of the frequency distribution and in which case the interval frequency distribution (including graphical representation of the frequency distribution). Students will be able to measure the location, variability, skewness and kurtosis of frequency distribution. He will be able to use the basic terms of probability theory, to know the operations with random phenomena and to know the prnciples of computation of probability random phenomenon. In the field of random variable, students will know some named discrete and continuous probability distributions and the selected limit theorems. They will know the definition of statistic and the definition of random sample.
Syllabus
  • Entry statistical terms, term statistics
  • Second Statistical population and statistical features, Types of variables
  • 3 Statistical survey, data processing of nominal variables  
  • 4 Simple frequency distribution Interval (group) frequency distribution
  • 5 Characteristics position variability characteristics
  • 6 Characteristics of skewness and kurtosis
  • 7th Random experiment a random event, probability random phenomenon
  • 8th Rules for calculating the probabilities  , total probability formula, Bayes formula
  • 9 The concept of random variables, random variables, characteristics of random variables
  • 10th Alternative distribution, Binomial distribution, Poisson distribution, Hypergeometric distribution, Uniform distribution, Normal distribution, log-normal distribution
  • 11 Exponential distribution, Chebyshev inequality,
  • 12 The law of large numbers, central limit theorem, Random
Literature
    required literature
  • BÍLKOVÁ, Diana; Petr BUDINSKÝ and Václav VOHÁNKA. Pravděpodobnost a statistika (Probability and Statistics). 1. vydání. Plzeň: Vydavatelství a nakladatelství Aleš Čeněk, s.r.o, 2009, 658 pp. ISBN 978-80-7380-224-0. info
  • CYHELSKÝ, Lubomír and Eduard SOUČEK. Základy statistiky (Elementals of Statistics). Praha: Vysoká škola finanční a správní, 2009, 164 pp. ISBN 978-80-7408-013-5. info
Teaching methods
Lectures and seminars in full-time study; tutorials in part-time study, data-projector is used in teaching, statistical programme Statgraphics will be presented to the students. Minimum mandatory attendance at seminars in full-time is 75%, the controlled group consultations in combined studies 50%. Students who fail to meet the mandatory level of participation will be specified additional study obligations.
Assessment methods
Course ending: allowance Requirements for allowance: - 2 written tests, it is needed to obtain at least 50 percent of points from each test - 1 semestral work from the area of descriptive statistics, it is needed to obtain at least 50 percent points from that - presence in seminars at least 80 percent
Language of instruction
Czech
Further comments (probably available only in Czech)
Information on completion of the course: ISP
The course can also be completed outside the examination period.
General note: Bb0.
The course is also listed under the following terms Winter 2007, Summer 2008, Winter 2008, Summer 2009, Summer 2010, Summer 2011, Winter 2011, summer 2012, Winter 2012, Summer 2016, Summer 2017, Summer 2018, Summer 2019, Summer 2020, Summer 2021.
  • Enrolment Statistics (Summer 2013, recent)
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