Abstract
In the paper there have been given the relations between the crude, factorial and inverse factorial moments based on Stirling numbers of different kinds. Appropriate formulae and tables are made up for the proposed Stirling numbers of the third and fourth kinds.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bohlmam, G (1913): Formulierung und Begründung zweier Hilfssätze der mathematischen Statistik. Math. Ann. 74, 341–409.
Dyczka W. (1969): The moments of Polya distribution special case. Ann. Soc. Math. Polonae, Ser.I: Comment. Math. (Prace Matemat.) 13, No 1, 129–139.
Eggenberger F. and Pólya G. (1923): Öber die Statistik verketteter Vorgänge. Z. Angew. Math. Mech. 3, 279–289.
Gerstenkorn T. (1969): Numerische Methoden zur Andwendung der Formeln für die Momente der Wahrscheinlichkeitsverteilungen. Wissensch. Zeitschrift der Tech. Hochschule Otto von Guericke Magdeburg 13, No 3/4, 213–219.
Gerstenkorn T. (1971): The recurrence relations for the moments of the discrete probability distributions. Dissert. Math. (Rozprawy Matemat.) 83, PWN, Warszawa.
Kaufmann A. (1968): Introduction à la combinatorique en vue des applications. Dunod, Paris.
KoΦmah. (1975): BBeflHe B nKJiajyio KOMHoKy. Hayna, MoBa.
Lukaszewicz J. and Warmus M. (1956): Metody numeryczne i graficzne. PWN, Warszawa.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1983 ACADEMIA, Publishing House of the Czechoslovak Academy of Sciences, Prague
About this chapter
Cite this chapter
Gerstenkorn, T. (1983). Relations Between the Crude, Factorial and Inverse Factorial Moments. In: Transactions of the Ninth Prague Conference. Czechoslovak Academy of Sciences, vol 9A. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7013-7_29
Download citation
DOI: https://doi.org/10.1007/978-94-009-7013-7_29
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-7015-1
Online ISBN: 978-94-009-7013-7
eBook Packages: Springer Book Archive