Akademik Dersler - İçerik

interpretate probability concepts in the sense of general measure concept.
define general measure concept.
present the probability concept in the sense of the general measure concept.
use the methods of the general measure theory in the solving of the probability theory problems
express the random variable concept in the form of abstract function of functional analysis.
relate the probability space with the domain set and value set of the abstract function.
apply the methods of abstract function theory in the investigation of random variables.
explain the distribution functions of the random variables in the sense of abstract Lebesgue measure.
relate the properties of the distribution functions of the random variables with the Lebesgue measurability of abstract functions.
clasify the random variables by virtue of Lebesgue measure.
apply the Lebesgue and Lebegue-Stieltjes integrals in solving the statistical problems.
interpretate the expected value of the random variables via Lebesgue-Stieltjes integral.
perform the statistical properties of the random variables by using Riemann-Stieltjes integral.