A new discrete distribution with actuarial applications
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- repec:cup:astinb:v:16:y:1986:i:s1:p:s59-s79_01 is not listed on IDEAS
- Gómez-Déniz, Emilio & Sarabia, José Maria & Calderin-Ojeda, Enrique, 2008. "Univariate and multivariate versions of the negative binomial-inverse Gaussian distributions with applications," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 39-49, February.
- Philippou, Andreas N. & Georghiou, Costas & Philippou, George N., 1983. "A generalized geometric distribution and some of its properties," Statistics & Probability Letters, Elsevier, vol. 1(4), pages 171-175, June.
- E. Gómez-Déniz, 2010. "Another generalization of the geometric distribution," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(2), pages 399-415, August.
- repec:cup:astinb:v:12:y:1981:i:01:p:22-26_00 is not listed on IDEAS
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- Zhang, Huiming & Liu, Yunxiao & Li, Bo, 2014. "Notes on discrete compound Poisson model with applications to risk theory," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 325-336.
- Alessandro Barbiero & Asmerilda Hitaj, 2024. "Discrete half-logistic distributions with applications in reliability and risk analysis," Annals of Operations Research, Springer, vol. 340(1), pages 27-57, September.
- Subrata Chakraborty & Tomoaki Imoto, 2016. "Extended Conway-Maxwell-Poisson distribution and its properties and applications," Journal of Statistical Distributions and Applications, Springer, vol. 3(1), pages 1-19, December.
- Zhao, Xiaobing & Zhou, Xian, 2012. "Copula models for insurance claim numbers with excess zeros and time-dependence," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 191-199.
- Fatimah E. Almuhayfith & Sudeep R. Bapat & Hassan S. Bakouch & Aminh M. Alnaghmosh, 2023. "A Flexible Semi-Poisson Distribution with Applications to Insurance Claims and Biological Data," Mathematics, MDPI, vol. 11(5), pages 1-15, February.
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