Note on the approximation of distributions on ℤ+ by mixtures of negative binomial distributions

Communications in Statistics. Part C: Stochastic Models

Volumn 13, Issue 2, 1997, Pages 271-274

  Steutel, F W ^a   Van Eenige, M J A ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Completely monotone; Negative binomial distribution; Poisson mixture; Weak limit

Indexed keywords

EID: 33747450615     PISSN: 08820287     EISSN: None     Source Type: Journal    
DOI: 10.1080/15326349708807426     Document Type: Article

References (6)

1. FELLER, W. (1971), An Introduction to Probability Theory and Its Applications, Volume II, (second ed.), John Wiley & Sons, New York.
2. NEUTS, M.F. (1981), Matrix-Geometric Solutions in Stochastic Models: An Algorithmic Approach, The Johns Hopkins University Press, Baltimore.
3. 2 and Γ distributions which yield distributions of the same family, Ann. Inst. Stat. Math. 19, 527-536.
4. PURI, P.S. AND C.M. GOLDIE (1979), Poisson mixtures and quasi-infinite divisibility of distributions, Journal of Applied Probability 16, 138-153.
5. SCHASSBERGER, R. (1973), Warteschlangen, Springer-Verlag, Vienna.
6. STEUTEL, F.W. AND K. VAN HARN (1979), Discrete analogues of self-decomposability and stability, Annals of Probability 7, 893-899.