The Generalized Power Series Distributions and Their Application
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Authors
Fereshteh Momeni
- Islamic Azad University-Behshahr Branch
Abstract
Necessity of the use of more rich family discrete distributions is practically observable. In this paper, we study about new family of discrete distributions, as Inflated Parameter distributions. Then , we use the application of these distributions for data modeling of Insurance claims and indicate that these distributions have more appropriate approximation then corresponding distributions.
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ISRP Style
Fereshteh Momeni, The Generalized Power Series Distributions and Their Application, Journal of Mathematics and Computer Science, 2 (2011), no. 4, 691--697
AMA Style
Momeni Fereshteh, The Generalized Power Series Distributions and Their Application. J Math Comput SCI-JM. (2011); 2(4):691--697
Chicago/Turabian Style
Momeni, Fereshteh. "The Generalized Power Series Distributions and Their Application." Journal of Mathematics and Computer Science, 2, no. 4 (2011): 691--697
Keywords
- Generalized Power Series Distribution
- zero-Inflated distribution.
MSC
References
-
[1]
N. L. Johnson, A. W. Kemp, S. Kotz, Univariate Discrete Distributions, John Wiley & Sons, U.S.A. (1992)
-
[2]
L. D. Minkova, A Generalization of the Classical Discrete Distributions, Communications in Statistics-Theory and Methods, 31 (2002), 871--888
-
[3]
N. Kolev, L. Minkova, P. Neytchev, Inflated – Parameter Family of Generalized Power Series Distributions and their applications in Analysis of Overdispesed Insurance Data, ARCH, 26 pages (2000)
-
[4]
P. L. Gupta, R. C. Gupta, R. C. Tripathi, Inflatrd Modified Power Series Distributions with applications, Communications in Statistics-Theory and Methods, 24 (1995), 2355--2374
-
[5]
N. L. Bowers, H. U. Gerber, J. C. Hickman, D. A. Jones, C. J. Nesbitt, Actuarial Mathematics, Society of Actuaries, New York (1997)
-
[6]
T. Rolski, H. Schmidli, V. Schmidt, J. L. Teugels, Stochastic Processes for Insurance and Finance, John Wiley & Sons, Chichester (1999)
-
[7]
R. Winkelmann, Econometric Analysis of Count Data, Springer-Verlag, Berlin (2000)