Advertisement

A Lagrangian Gamma Distribution

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

Summary

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. 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Consul, P. C. and Jain, C. G. (1973a). Technometries 15, 791–799.MathSciNetzbMATHCrossRefGoogle Scholar
  2. [2]
    Consul, P. C. and Jain, C. G. (1973b). Biometrische Zeitschrift 15, 495–500.MathSciNetzbMATHCrossRefGoogle Scholar
  3. [3]
    Consul, P. C. and Shenton, L. R. (1972). SIAM J. Appl. Math. 23, 239–248.MathSciNetzbMATHCrossRefGoogle Scholar
  4. [4]
    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

Personalised recommendations