On the convolution of the negative binomial random variables

Statistics and Probability Letters

Volumn 77, Issue 2, 2007, Pages 169-172

  Furman, Edward ^a  

^a UNIVERSITY OF HAIFA   (Israel)

Author keywords

Negative binomial distributions; Series representations

Indexed keywords

EID: 33750990477     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2006.06.007     Document Type: Article

References (6)

1. Carlson T. Negative binomial rationale. Proc. Casualty Actuarial Soc. 49 (1962) 177-183
2. Hewitt C.C. The negative binomial applied to the Canadian Merk Rating Plan for individual automobile risk. Proc. Casualty Actuarial Soc. 47 (1960) 55-65
3. Johnson N., Kotz S., and Kemp A. Univariate Discrete Distributions. Wiley Series in Probability and Mathematical Statistics. second ed (1992), Wiley, New York
4. Kotz S., Johnson N.L., and Boyd D.W. Series representations of distributions of quadratic forms in normal variables. L central case. Ann. Math. Statist. 38 (1967) 823-837
5. Mathai A.M. A storage capacity of a dam with gamma type inputs. Ann. Inst. Statist. Math. A 34 3 (1982) 591-597
6. Simon L.J. The negative binomial and Poisson distributions compared. Proc. Casualty Actuarial Soc. 47 (1960) 20-24