International Journal of Statistical Distributions and Applications

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Characterizations and Infinite Divisibility of Extended COM-Poisson Distribution

Received: 09 August 2015    Accepted: 26 August 2015    Published: 27 August 2015
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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.

DOI 10.11648/j.ijsd.20150101.11
Published in International Journal of Statistical Distributions and Applications (Volume 1, Issue 1, September 2015)
Page(s) 1-4
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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.

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Copyright © The Author(s), 2024. Published by Science Publishing Group

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Keywords

Conway-Maxwell-Poisson distribution, conditional distribution, discrete compound Poisson distribution, infinitely divisible, Stein identity

References
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  • School of Mathematics and Statistics, Central China Normal University, Wuhan, China

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    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

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    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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    AMA 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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  • @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://download.sciencepg.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}
    }
    

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    JO  - International Journal of Statistical Distributions and Applications
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