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On Poisson-stopped-sums that are mixed Poisson

Author

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  • Valero, Jordi
  • Pérez-Casany, Marta
  • Ginebra, Josep

Abstract

Maceda (1948) characterized the mixed Poisson distributions that are Poisson-stopped-sum distributions based on the mixing distribution. In an alternative characterization of the same set of distributions here the Poisson-stopped-sum distributions that are mixed Poisson distributions is proved to be the set of Poisson-stopped-sums of either a mixture of zero-truncated Poisson distributions or a zero-modification of it.

Suggested Citation

  • Valero, Jordi & Pérez-Casany, Marta & Ginebra, Josep, 2013. "On Poisson-stopped-sums that are mixed Poisson," Statistics & Probability Letters, Elsevier, vol. 83(8), pages 1830-1834.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:8:p:1830-1834
    DOI: 10.1016/j.spl.2013.04.009
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    References listed on IDEAS

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    1. Puig, Pedro & Valero, Jordi, 2006. "Count Data Distributions: Some Characterizations With Applications," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 332-340, March.
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