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On left-truncating and mixing poisson distributions

Author
Valero, J.; Perez-Casany, M.; Ginebra, J.
Type of activity
Journal article
Journal
Communications in statistics. Theory and methods
Date of publication
2014-02-01
First page
1
Last page
25
DOI
https://doi.org/10.1080/03610926.2013.863932 Open in new window
Repository
http://hdl.handle.net/2117/22548 Open in new window
URL
http://www.tandfonline.com/doi/full/10.1080/03610926.2013.863932#.U0LeX_l_vAs Open in new window
Abstract
The distributions obtained by left-truncating at k a mixed Poisson distribution, kT-MP, and those obtained by mixing previously left-truncated Poisson distributions, 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.
Citation
Valero, J.; Perez, M.; Ginebra, J. On left-truncating and mixing poisson distributions. "Communications in statistics. Theory and methods", 01 Febrer 2014, p. 1-25.
Keywords
Count variable: Left-truncated distribution, Mixed distribution, Model characterization, Probability generating function
Group of research
ADBD - Analysis of Complex Data for Business Decisions
DAMA-UPC - Data Management Group
GRBIO - Biostatistics and Bioinformatics Research Group

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