On the Probabilistic Structure and Properties of Discrete Lagrangian Distributions

  • P. C. Consul
  • L. R. Shenton
Part of the NATO Advanced Study Institutes Series book series (ASIC, volume 17)


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.

Key Words

Lagrange distribution Lagrange expansion moments cumulants queueing 


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Copyright information

© D. Reidel Publishing Company, Dordrecht-Holland 1975

Authors and Affiliations

  • P. C. Consul
    • 1
    • 2
  • L. R. Shenton
    • 1
    • 2
  1. 1.University of CalgaryCanada
  2. 2.University of GeorgiaAthensUSA

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