Note on the moments of random variables product

• Autorzy: Kornacki A.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

central moment of random variable; coefficient of skewness; kurtosis; variation coefficient; approximate formula

• Wydawca: Polish Academy of Sciences, Branch in Lublin
• Czasopismo: ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
• Rocznik: 2017
• Tom: Vol. 6, No 4
• Strony: 93--96
• Opis fizyczny: Bibliogr. 5 poz., wz.

Twórcy

autor

Kornacki A.

• Department of Applied Mathematics and Computer Science University of Life Sciences in Lublin Akademicka 12, 20-950 Lublin Poland

Bibliografia

• 1. Fisz M. 1967. Probability and mathematical statistics. Warszawa PWN. (in Polish).
• 2. Goodman L. A. 1960. On the exact variance of products. Journal of American Statistical Association, 55. 708-713.
• 3. Goodman L. A. 1962. The variance of product of random variables. Journal of American Statistical Association, 57. 54-60.
• 4. Rao C. R. 2002. Linear Statistical Inference and Its Applications. John Wiley & Sons New York.
• 5. Yates F. 1953. Sampling methods for censuses and surveys. Second edition. London Charles Griffin and Co .Ltd.

Uwagi

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