Download Applied Probability Theory and Statistics NEPTUN-code

Name:
Applied Probability
Theory and Statistics
NEPTUN-code:
regular: NAMVS1SEND
Credit: 5
Requirement: exam
Responsible:
Dr. Gábor HEGEDÜS
Number of periods/week (lec/sem/lab):
regular: 2/2/0
Prerequisite:
NAMMS1SEND Mathematics Final Exam
Position:
associate professor
Faculty and Institute name:
John von Neumann Faculty of Informatics
Department of Applied Mathematics
Course description
The aim of the course is to give an introduction to probability theory and mathematical statistics, to
discuss basic concepts, to develop problem-solving skills; it provides an insight into the possibilities of
practical applications.
Course material: axioms of probability, conditional probability, Bayes’s theorem, independent events,
geometrical probability. Discrete and continuous random variables, discrete and continuous
distributions. Error estimation, Bernoulli’s theorem, central limit theorem. Descriptive statistics, basic
concepts. Sample statistics. Point estimation, confidence intervals. Hypothesis testing, hypotheses for
normal distribution, non-parametric methods. Correlation and regression.
Literature
Compulsory:
 Fegyverneki, S.: Probability Theory and Mathematical Statistics, Miskolc University, 2011
http://www.tankonyvtar.hu/hu/tartalom/tamop425/0033_PDF_GEMAK6831BEN/adatok.html
Recommended:
 J. Schiller - R. Alu Srinivasan - M. Spiegel: Schaum’s Outline of Probability and Statistics. 4th
Edition, McGraw-Hill, 2012