The DOI matches its Crossref record; 41 of the 41 references it cites were found in a registry or an index.
Mixed Poisson Distributions
Open accessAbstract
Mixed Poisson distributions have been used in a wide range of scientific fields for modeling nonhomogeneous populations. This paper aims at reviewing the existing literature on Poisson mixtures by bringing together a great number of properties, while, at the same time, providing tangential information on general mixtures. A selective presentation of some of the most prominent members of the family of Poisson mixtures is made.
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Citations
Cites
McLachlan, G., & Peel, D. (2000) · Wiley Series in Probability and Statistics · doi:10.1002/0471721182 · Cited by 10,991
ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS
SIMON, H. A. (1955) · Biometrika · doi:10.1093/biomet/42.3-4.425 · Cited by 2,771
Mixture Densities, Maximum Likelihood and the EM Algorithm
Redner, R. A., & Walker, H. F. (1984) · SIAM Review · doi:10.1137/1026034 · Cited by 2,693
Negative binomial and mixed Poisson regression
Lawless, J. F. (1987) · Canadian Journal of Statistics · doi:10.2307/3314912 · Cited by 1,099
Mixture Models: Theory, Geometry and Applications
Lindsay, B. G. (1995) · NSF-CBMS Regional Conference Series in Probability and Statistics · doi:10.1214/cbms/1462106013 · Cited by 1,084
Everitt, B. S., & Hand, D. J. (1981) · Springer eBooks · doi:10.1007/978-94-009-5897-5 · Cited by 1,058
Greenwood, M., & Yule, G. U. (1920) · Journal of the Royal Statistical Society · doi:10.2307/2341080 · Cited by 833
Overdispersion: Models and estimation
Hinde, J., & Demétrio, C. G. B. (1998) · Computational Statistics & Data Analysis · doi:10.1016/s0167-9473(98)00007-3 · Cited by 598
Identifiability of Finite Mixtures
Teicher, H. (1963) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177703862 · Cited by 573
Recursive Evaluation of a Family of Compound Distributions
Panjer, H. H. (1981) · ASTIN Bulletin · doi:10.1017/s0515036100006796 · Cited by 568
Cited by
Superspreading and the effect of individual variation on disease emergence
Lloyd-Smith, J. O., Schreiber, S. J., Kopp, P. E., & Getz, W. M. (2005) · Nature · doi:10.1038/nature04153 · Cited by 2,514
Metadata
- Authors
- Karlis, D., & Xekalaki, E.
- Venue
- International Statistical Review
- Publisher
- Wiley
- Published
- 2007-01-15
- Volume
- 73
- Issue
- 1
- Pages
- 35-58
- ISSN
- 0306-7734 (ISSN-L)
- OpenAlex
- W2046129503
- Cited by
- 324
- References
- 41
- FWCI
- 16.15
- Type
- journal article
- Language
- en
- Open access
- green
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- Karlis, D., & Xekalaki, E. (2007). Mixed Poisson Distributions. International Statistical Review. https://doi.org/10.1111/j.1751-5823.2005.tb00250.x
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
