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Computational Statistics

, Volume 17, Issue 4, pp 507–515 | Cite as

Computing Relations between Moments and Cumulants

  • Qi Zheng
Article

Summary

It is sometimes desirable to have easily accessible formulae expressing moments in terms of cumulants and vice versa. This paper offers a Mathematica implementation of two methods for generating such formulae, a method based on Kendall’s operator and an elementary method of equating coefficients of generating functions.

Keywords

symbolic computing rewrite rule Kendall’s operator cumulant moment 

Notes

Acknowledgments

This work originated from my participation in the 1995–1996 Mathematica Visiting Scholar Program sponsored by Wolfram Research Inc. I am indebted to Dr. K. Hutcheson for kindly providing me with a copy of Kratky et al. (1972). Several improvements in the presentation of the material in this article have resulted from suggestions by co-editor h. j. Newton, an associate editor, and a referee.

References

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Copyright information

© Physica-Verlag 2002

Authors and Affiliations

  • Qi Zheng
    • 1
  1. 1.Division of Biometry and Risk AssessmentNational Center for Toxicological ResearchJeffersonUSA

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