The Generalized Factorial Moments in Terms of a Poisson Random Variable

  • Mahid M. Mangontarum
  • Roberto B. Corcino

Abstract


Let X be a random variable having a Poisson distribution and mean . Using the unified generalizations of Stirling numbers, a pair of generalizations for the nth factorial moment E[(X)n] of X is defined. Through this, some generalizations for the nth moment E[Xn] of X are established in terms of other generalizations of the Stirling numbers of the second kind. Also, relationships between these new generalized moments and some well-known identities are mentioned.



 

Published
2018-05-11
How to Cite
MANGONTARUM, Mahid M.; CORCINO, Roberto B.. The Generalized Factorial Moments in Terms of a Poisson Random Variable. GSTF Journal of Mathematics, Statistics and Operations Research (JMSOR), [S.l.], v. 2, n. 1, may 2018. ISSN 2251-3396. Available at: <http://dl6.globalstf.org/index.php/jmsor/article/view/1528>. Date accessed: 16 dec. 2018.