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.
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References
Consul, P. C. and Jain, C. G. (1973a). Technometries 15, 791–799.
Consul, P. C. and Jain, C. G. (1973b). Biometrische Zeitschrift 15, 495–500.
Consul, P. C. and Shenton, L. R. (1972). SIAM J. Appl. Math. 23, 239–248.
Stacy, E. W. (1962). Ann. Math. Statist. 33, 1187–1192.
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© 1975 D. Reidel Publishing Company, Dordrecht-Holland
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Nelson, D.L., Consul, P.C. (1975). A Lagrangian Gamma Distribution. 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_19
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DOI: https://doi.org/10.1007/978-94-010-1842-5_19
Publisher Name: Springer, Dordrecht
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