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On the Probabilistic Structure and Properties of Discrete Lagrangian Distributions

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A Modern Course on Statistical Distributions in Scientific Work

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 17))

Summary

Lagrange distributions have their origin in the Lagrange expansion for the root of an equation. The basic formula is discussed, and its relation to convolution probability functions. General formulae are given for cumulants and non-central moments. Lastly, a Lagrange-type distribution is shown to hold for a certain queueing process.

The authors acknowledge with thanks the financial support of the National Research Council of Canada, the North Atlantic Treaty Organization, Brussels, and the University of Georgia, Athens, Georgia, U.S.A.

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References

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Author information

Authors and Affiliations

  1. University of Calgary, Alberta, Canada

    P. C. Consul & L. R. Shenton

  2. University of Georgia, Athens, Georgia, USA

    P. C. Consul & L. R. Shenton

Authors
  1. P. C. Consul
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  2. L. R. Shenton
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Editor information

Editors and Affiliations

  1. The Pennsylvania State University, University Park, Pa., USA

    G. P. Patil

  2. Temple University, Philadelphia, Pa., USA

    S. Kotz

  3. University of Warwick, Coventry, England

    J. K. Ord

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© 1975 D. Reidel Publishing Company, Dordrecht-Holland

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Consul, P.C., Shenton, L.R. (1975). On the Probabilistic Structure and Properties of Discrete Lagrangian Distributions. In: Patil, G.P., Kotz, S., Ord, J.K. (eds) A Modern Course on Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1842-5_5

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  • DOI: https://doi.org/10.1007/978-94-010-1842-5_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-1844-9

  • Online ISBN: 978-94-010-1842-5

  • eBook Packages: Springer Book Archive

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