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A Multivariate Generalization of the Generalized Poisson Distribution

Published online by Cambridge University Press:  29 August 2014

Raluca Vernic
Raluca Vernic*
Affiliation:
“Ovidius”, University of Constanta, Romania
*
Dept. of Mathematics and Informatics, “Ovidius”, University of Constanta, 124, Bd. Mamaia, 8700 Constanta, Romania E-mail: [email protected]
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Abstract

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This paper proposes a multivariate generalization of the generalized Poisson distribution. Its definition and main properties are given. The parameters are estimated by the method of moments.

Keywords

Multivariate generalized Poisson distribution (MGPm)generalized Poisson distribution (GPD)bivariate generalized Poisson distribution (BGPD)
Type
Articles
Information
ASTIN Bulletin: The Journal of the IAA , Volume 30 , Issue 1 , May 2000 , pp. 57 - 67
Copyright
Copyright © International Actuarial Association 2000

References

Ambagaspitiya, R.S. and Balakrishnan, N. (1994) On the compound generalized Poisson distributions. ASTIN Bulletin 24, 255–263.CrossRefGoogle Scholar
Consul, P.C. (1989) Generalized Poisson Distributions: Properties and Applications. Marcel Dekker Inc., New York/Basel.Google Scholar
Consul, P.C. and Jain, G.C. (1973) A generalization of the Poisson distribution. Technometrics 15, 791–799.CrossRefGoogle Scholar
Consul, P.C. and Shoukri, M.M. (1985) The generalized Poisson distribution when the sample mean is larger than the sample variance. Communications in Statistics - Simulation and Computation 14, 1533–1547.CrossRefGoogle Scholar
Corless, R.M., Gonnet, G.H., Hare, D.E.G., Jeffrey, D.J. and Knuth, D.E. (1996) On the Lambert W function. Advances in Computational Mathematics 5, 329–359.CrossRefGoogle Scholar
Cresswell, W.L. and Froggatt, P. (1963) The causation of bus driver accidents. An epidemiological study. Oxford University Press, London.Google Scholar
Gerber, H.U. (1990) When does the surplus reach a given target? Insurance: Mathematics and Economics 9, 115–119.Google Scholar
Goovaerts, M.J. and Kaas, R. (1991) Evaluating compound generalized Poisson distributions recursively. ASTIN Bulletin 21, 193–197.CrossRefGoogle Scholar
Kling, B. and Goovaerts, M. (1993) A note on compound generalized distributions. Scandinavian Actuarial Journal 1, 60–72.CrossRefGoogle Scholar
Scollnik, D.P.M. (1998) On the analysis of the truncated generalized Poisson distribution using a Bayesian method. ASTIN Bulletin 28, 135–152.CrossRefGoogle Scholar
Vernic, R. (1997) On the bivariate generalized Poisson distribution. ASTIN Bulletin 27, 23–31.CrossRefGoogle Scholar