A Lagrangian Gamma Distribution

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


A new generalization of the gamma distribution is developed. This generalization, called the Lagrangian gamma, is the distribution of the time between occurrences of a generalized Poisson process. Moments of the distribution are derived, plots of the density are reproduced, and methods for parameter estimation are discussed.

Key Words

Generalized Poisson process Lagrangian gamma distribution. 


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    Consul, P. C. and Shenton, L. R. (1972). SIAM J. Appl. Math. 23, 239–248.MathSciNetzbMATHCrossRefGoogle Scholar
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    Stacy, E. W. (1962). Ann. Math. Statist. 33, 1187–1192.MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© D. Reidel Publishing Company, Dordrecht-Holland 1975

Authors and Affiliations

  • D. L. Nelson
    • 1
  • P. C. Consul
    • 2
  1. 1.Boeing Computer Services, Inc.SeattleUSA
  2. 2.Division of StatisticsThe University of CalgaryCanada

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