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On left-truncating and mixing Poisson distributions |
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| Authors: | Jordi Valero Marta Pérez-Casany |
| Institution: | Department of Statistics, Technical University of Catalonia and DAMA-UPC, Barcelona, Spain |
| Abstract: | ABSTRACTThe 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. |
| Keywords: | Count variable Mixed distribution Model characterization Left-truncated distribution Probability generating function |