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The distribution and moments of the number of components of a random function

Published online by Cambridge University Press:  14 July 2016

Joseph Kupka
Joseph Kupka*
Affiliation:
Monash University
*
∗Postal address: Department of Mathematics, Monash University, Clayton, VIC 3168, Australia.
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Abstract

A relatively simple formula is presented for the probability distribution of the number K of components of a random function. This formula facilitates the (computer) calculation of the factorial moments of K and yields new expressions for the mean and variance of K.

Keywords

CYCLIC ELEMENTSFACTORIAL MOMENTS
Type
Short Communications
Information
Journal of Applied Probability , Volume 27 , Issue 1 , March 1990 , pp. 202 - 207
Copyright
Copyright © Applied Probability Trust 1990 

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References

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