A generalization of the classical discrete distributions

Communications in Statistics - Theory and Methods

Volumn 31, Issue 6, 2002, Pages 871-888

  Minkova, Leda D ^a  

^a TECHNICAL UNIVERSITY OF SOFIA   (Bulgaria)

Author keywords

Compound distribution; Discrete distributions; Inflated parameter distributions; Type lack of memory property

Indexed keywords

EID: 34248520299     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1081/STA-120004187     Document Type: Article

References (10)

1. Johnson, N.L.; Kotz, S; Kemp, A.W. Univariate Discrete Distributions; Wiley Series in Probability and Mathematical Statistics, 2nd Ed.; 1992.
2. Rolski, T.; Schmidli, H.; Schmidt, V.; Teugels, J. Stochastic Processes for Insurance and Finance; John Wiley & Sons: Chichester, 1999.
3. Chatfield, C.; Ehrenberg, A.S.C.; Goodhart, G.J. Progress on a Simplified Model of Stationary Purchasing Behavior (with discussion). J. of the Royal Statistical Society 1966, A 129, 317-367.
4. Minkova, L. A Family of Compound Discrete Distributions. Compt. Randue Bulg. Acad. Aci. 2001, 54(2), 11-14.
5. Kolev, N.; Minkova, L.; Neytchev, P. Inflated-Parameter Family of Generalized Power Series Distributions and Their Application in Analysis of Overdispersed Insurance Data. ARCH Research Clearing House 2000, 2, 295-320.
6. Evans, D.A. Experimental Evidence Concerning Contagious Distributions in Ecology. Biometrika 1953, 4, 186-211.
7. Sundt, B.; Dhaene, J.; De Pril, N. Some Results on Moments and Cumulants, Scand. Actuarial J. 1998, 1, 24-40.
8. Schrörter, K.J. On a Family of Counting Distributions and Recursions for Related Compound Distributions, Scand. Actuarial J. 1990, 161-175.
9. Grandell, J. Mixed Poisson Processes; Chapman & Hall: London, 1997.
10. Zijlstra, M. Characterizations of the Geometric Distribution by Distributional Properties. J. Appl. Prob. 1983, 20, 843-850.