Note on the moments of random variables product

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.

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Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).