This article provides some characterizations of extended COM-Poisson distribution: conditional distribution given the sum, functional operator characterization (Stein identity). We also give some conditions such that the extended COM-Poisson distribution is infinitely divisible, hence some subclass of extended COM-Poisson distributions are discrete compound Poisson distribution.
| Published in | International Journal of Statistical Distributions and Applications (Volume 1, Issue 1) |
| DOI | 10.11648/j.ijsd.20150101.11 |
| Page(s) | 1-4 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
Conway-Maxwell-Poisson distribution, conditional distribution, discrete compound Poisson distribution, infinitely divisible, Stein identity
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APA Style
Huiming Zhang. (2015). Characterizations and Infinite Divisibility of Extended COM-Poisson Distribution. International Journal of Statistical Distributions and Applications, 1(1), 1-4. https://doi.org/10.11648/j.ijsd.20150101.11
ACS Style
Huiming Zhang. Characterizations and Infinite Divisibility of Extended COM-Poisson Distribution. Int. J. Stat. Distrib. Appl. 2015, 1(1), 1-4. doi: 10.11648/j.ijsd.20150101.11
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Download@article{10.11648/j.ijsd.20150101.11,
author = {Huiming Zhang},
title = {Characterizations and Infinite Divisibility of Extended COM-Poisson Distribution},
journal = {International Journal of Statistical Distributions and Applications},
volume = {1},
number = {1},
pages = {1-4},
doi = {10.11648/j.ijsd.20150101.11},
url = {https://doi.org/10.11648/j.ijsd.20150101.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijsd.20150101.11},
abstract = {This article provides some characterizations of extended COM-Poisson distribution: conditional distribution given the sum, functional operator characterization (Stein identity). We also give some conditions such that the extended COM-Poisson distribution is infinitely divisible, hence some subclass of extended COM-Poisson distributions are discrete compound Poisson distribution.},
year = {2015}
}
TY - JOUR T1 - Characterizations and Infinite Divisibility of Extended COM-Poisson Distribution AU - Huiming Zhang Y1 - 2015/08/27 PY - 2015 N1 - https://doi.org/10.11648/j.ijsd.20150101.11 DO - 10.11648/j.ijsd.20150101.11 T2 - International Journal of Statistical Distributions and Applications JF - International Journal of Statistical Distributions and Applications JO - International Journal of Statistical Distributions and Applications SP - 1 EP - 4 PB - Science Publishing Group SN - 2472-3509 UR - https://doi.org/10.11648/j.ijsd.20150101.11 AB - This article provides some characterizations of extended COM-Poisson distribution: conditional distribution given the sum, functional operator characterization (Stein identity). We also give some conditions such that the extended COM-Poisson distribution is infinitely divisible, hence some subclass of extended COM-Poisson distributions are discrete compound Poisson distribution. VL - 1 IS - 1 ER -
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