International Journal of Statistical Distributions and Applications

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On the Zero-One Inflated Poisson Distribution

Received: 18 August 2016    Accepted: 10 September 2016    Published: 10 December 2016
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Abstract

In many sampling involving non negative integer data, the zeros are observed to be significantly higher than the expected assumed model. Such models are called zero-one inflated models. The zero inflated Poisson distribution was recently considered and studied due to its empirical needs and application. In this paper, an extension to the case of zero inflated case is considered, namely, the zero and one inflated Poisson distribution, along with some of its structural properties, and estimation of its parameters using the methods of moments and maximum likelihood estimators were obtained with three empirical examples as well.

DOI 10.11648/j.ijsd.20160204.11
Published in International Journal of Statistical Distributions and Applications (Volume 2, Issue 4, December 2016)
Page(s) 42-48
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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.

Copyright

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

Keywords

Poisson Distribution, Zero-One Inflated Model, Maximum Likelihood Estimator, Moments Estimator, Inflated Poisson Distribution

References
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Author Information
  • General Requirements Department, Ahmed Bin Mohammed Military College, Doha, Qatar

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    Rafid Saeed Abdulrazak Alshkaki. (2016). On the Zero-One Inflated Poisson Distribution. International Journal of Statistical Distributions and Applications, 2(4), 42-48. https://doi.org/10.11648/j.ijsd.20160204.11

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    Rafid Saeed Abdulrazak Alshkaki. On the Zero-One Inflated Poisson Distribution. Int. J. Stat. Distrib. Appl. 2016, 2(4), 42-48. doi: 10.11648/j.ijsd.20160204.11

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    AMA Style

    Rafid Saeed Abdulrazak Alshkaki. On the Zero-One Inflated Poisson Distribution. Int J Stat Distrib Appl. 2016;2(4):42-48. doi: 10.11648/j.ijsd.20160204.11

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  • @article{10.11648/j.ijsd.20160204.11,
      author = {Rafid Saeed Abdulrazak Alshkaki},
      title = {On the Zero-One Inflated Poisson Distribution},
      journal = {International Journal of Statistical Distributions and Applications},
      volume = {2},
      number = {4},
      pages = {42-48},
      doi = {10.11648/j.ijsd.20160204.11},
      url = {https://doi.org/10.11648/j.ijsd.20160204.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ijsd.20160204.11},
      abstract = {In many sampling involving non negative integer data, the zeros are observed to be significantly higher than the expected assumed model. Such models are called zero-one inflated models. The zero inflated Poisson distribution was recently considered and studied due to its empirical needs and application. In this paper, an extension to the case of zero inflated case is considered, namely, the zero and one inflated Poisson distribution, along with some of its structural properties, and estimation of its parameters using the methods of moments and maximum likelihood estimators were obtained with three empirical examples as well.},
     year = {2016}
    }
    

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    JO  - International Journal of Statistical Distributions and Applications
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    AB  - In many sampling involving non negative integer data, the zeros are observed to be significantly higher than the expected assumed model. Such models are called zero-one inflated models. The zero inflated Poisson distribution was recently considered and studied due to its empirical needs and application. In this paper, an extension to the case of zero inflated case is considered, namely, the zero and one inflated Poisson distribution, along with some of its structural properties, and estimation of its parameters using the methods of moments and maximum likelihood estimators were obtained with three empirical examples as well.
    VL  - 2
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