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On left-truncating and mixing Poisson distributions

Author

Listed:
  • Jordi Valero
  • Marta Pérez-Casany
  • Josep Ginebra

Abstract

The distributions obtained by left-truncating at k a mixed Poisson distribution, denoted kT-MP, and those obtained by mixing previously left-truncated Poisson distributions, denoted M-kTP, are characterized by means of their probability generating function. The main consequence is that every kT-MP distribution is a M-kTP distribution, but not the other way around.

Suggested Citation

  • Jordi Valero & Marta Pérez-Casany & Josep Ginebra, 2016. "On left-truncating and mixing Poisson distributions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(5), pages 1424-1434, March.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:5:p:1424-1434
    DOI: 10.1080/03610926.2013.863932
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