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Note on the moments of random variables product

Kornacki A.

ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes

2017

Vol. 6, No 4

93--96

In this paper the formulae for central moments of independent random variables product are introduced. Generally, the formulae are very complex and not very readable, therefore the article focuses on the most important – terms of applications – moments of r = 2, 3, 4 orders. These moments occur in the determination of such characteristics as variance, skewness or kurtosis. In cases r = 3 and 4 only two random variables are considered. Apart from exact formulae in the considered situations the approximate formulae were also presented. For the variance the approximation effectiveness was also assessed.