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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