Lecturer(s)


Linda Bohdan, doc. RNDr. CSc.

Kubanová Jana, doc. PaedDr. CSc.

Course content

Random events (definitions of basic terms).Term probability and its interpretation. Conditional probability, independence of events, conditional probability probability theorem, Bayes' theorem. Bernoulli independent repeated experiments. Onedimensional random variable, probability distribution, distribution function, discrete and continuous random variable, probability density. Common probability distributions, important for economical applications. Multidimensional random variable, marginal distribution function, independent random variables. Characteristics of onedimensional and multidimensional random variables, measure of interdependence(expected value, variance, covariance) Stochastic dependence, regression and correlation. Limit theorems  laws of large numbers, central limit theorem. Basis of descriptive statistics, statistical characteristics. Random sample and its classification, sample characteristics, quantiles. Empirical probability distribution. Probability distribution of some sample characteristics.

Learning activities and teaching methods

Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book)

Learning outcomes

The aim of the course is to acquaint the students with theoretical essentials for the followup mathematical and first of all for the specialized courses of the economic character.
Students will be able to apply methods of the probability theory in encountering practical tasks as well as in real situations.

Prerequisites

Prerequisite for mastering of the subject PPAS1 is knowledge of the subjects mathematics 1 and mathematics 2.

Assessment methods and criteria

Home assignment evaluation, Student performance assessment, Discussion
Assignmentcompletion of all given tasks and passing the written test. Examinationwriten and oral.

Recommended literature


Gibilisco, Stan. Statistics demystified : [a selfteaching guide]. New York: McGrawHill, 2004. ISBN 0071431187.

Kubanová, Jana. Probability II collection of examples. Pardubice: Univerzita Pardubice, 2009. ISBN 9788073952464.

Kubanová, Jana. Probability. Pardubice: Univerzita Pardubice, 2007. ISBN 9788071949343.

Linda,B.Kubanová,J. Critical values and Quantiles of Selected Probability Distributions. Univerzita Pardubice, 2006. ISBN 8071948535.

Mendehall, W.  Sincich, T. Statistics for Engineering and Sciences. New York, Macmillan Publishing Company 1992, 1992. ISBN 002946563X.

Milton, J. S., Arnold, J. Introduction to probability and statistics. New York, McGrawHill 2002, 2002.

Newbold, P. Statistics for Business and Economics. London, PrenticeHall Int. Lim. 1991, 1991. ISBN 0138506450.

Selvin,S. Biostatistics: How it works. Pearson Education, PrenticeHall 2004, 2004. ISBN 0138046616.

Spiegel, M. R. Theory and Problems of Probability and Statistics. Singapore, McGrawsHill Book 1985, 1985. ISBN 007990301.
